Herring References

Prof. Robert B. Laughlin
Department of Physics, Stanford University
Stanford, CA 94305

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A311 - History and Foundations

Basic Formulation of Quantum Mechanics

E. Schrödinger, "Die gegenwartige Situation in der Quantenmechanik," Naturwiss. 23, 807, 823, 844 (1935).
R. P. Feynman, "Space-Time Approach to Non-Relativistic Quantum Mechanics," Rev. Mod. Phys. 20, 367 (1948).
P. A. M. Dirac, "Quantum Theory of Localizable Dynamical Systems," Phys. Rev. 73, 1092 (1948).
R. P. Feynman, "The Theory of Positrons," Phys. Rev. 76, 749 (1949).
T. D. Newton and E. P. Wigner, "Localized States for Elementary Systems," Rev. Mod. Phys. 21, 400 (1949).
L. L. Foldy and S. A. Wouthuysen, "On the Theory of Spin 1/2 Particles and Its Non-Relativistic Limit," Phys. Rev. 78, 29 (1950).
P. Jordan, J. von Neumann and E. Wigner, "On an Algebraic Generalization of the Quantum Mechanic Formalism," Ann. Math. 35, 29 (1934).
P. Jordan and J. von Neumann, "On Inner Products in Linear, Metric Spaces," Ann. Math. 36, 721 (1935).
W. K. Burton and B. F. Touschek, Phil. Mag. 44, 161 (1953).
J. Schwinger, "The Theory of Quantized Fields. I,'' Phys. Rev. 82, 914 (1951).
J. Schwinger, "The Theory of Quantized Fields. II,'' Phys. Rev. 91, 713 (1951).
J. Schwinger, "The Theory of Quantized Fields. V,'' Phys. Rev. 93, 615 (1954).
J. Schwinger, Phil. Mag. 44, 1131 (1953).
E. W. Montroll, "Markoff Chains, Wiener Integrals and Quantum Theory," Commun. Pure Appl. Math. 5, 415 (1952).
N. Wiener and A. Siegel, "A New Form for the Statistical Postulate of Quantum Mechanics," Phys. Rev. 91, 1551 (1953).
N. Wiener, "Sur la Théorie Relativiste des Quanta," C. R. Acad. Sci. 237, 1640 (1953).
A. Landé, "Thermodynamic Continuity and Quantum Principles," Phys. Rev. 87, 267 (1952).
A. Landé, "Quantum Mechanics and Thermodynamic Continuity. I," Am. J. Phys. 20, 353 (1952).
A. Landé, "Quantum Mechanics and Thermodynamic Continuity. II," Am. J. Phys. 22, 82 (1954).
B. Davisson, Proc. Roy. Soc. A225, 252 (1954).
F. Bopp, Z. Naturforsch. 9a, 579 (1954).
D. Langwitz, Z. Naturforsch. 9a, 827 (1954).
S. T. Epstein, "Derivation of the Feynman-Dyson Rules from Time-Independent Theory," Phys. Rev. 98, 196 (1955).
P. G. Bergmann and I. Goldberg, "Dirac Bracket Transformations in Phase Space," Phys. Rev. 98, 531 (1955).
A. S. Wightman and S. S. Schweber, "Configuration Space Methods in Relativistic Quantum Field Theory. I," Phys. Rev. 98, 812 (1955).
A. S. Wightman, "Quantum Field Theory in Terms of Vacuum Expectation Values," Phys. Rev. 101, 860 (1956).
J. von Neumann, "On Infinite Direct Products," Composito Math. 1, 6 (1939).
S. Altertoni and F. Duimio, "Hilbert Spaces in Quantum Field Theories," Nuovo Cimento 6, 1193 (1953).
L. van Hove, "Les Dificulties des Divergences pour un Modele Particulier de Champs Quantifie," Physica 18, 145 (1952).
M. Namiki and R. Iino, "A New Mathematical Formulation of Quantum Mechanics in the Framework of Wave-Packet Theory," Suppl. Prog. Theor. Phys. No. 5, (1952), p. 65.
M. Hammermesh, Ann. Phys. (N.Y.) 9, 518 (1960).
J. P. Lepore, "Communication Relations of Quantum Mechanics," Phys. Rev. 119, 821 (1960).
T. Kanino, "On a Possible Generation of Quantum Mechanics," Prog. Theor. Phys. 23, 17 (1960).
T. Kato, "Fundamental Properties of Hamiltonian Operators of Schödinger Type," Trans. Am. Math. Soc. 70, 195 (1951).
H. Araki, "Wightman Functions, Retarded Functions and Their Analytic Continuations," Suppl. Prog. Theor. Phys., No. 18 (1960), p. 83.
R. Haag and D. Kastler, "An Algebraic Approach to Quantum Field Theory," J. Math. Phys. 5, 84 (1964).
D. Finkelstein, J. M. Jauch and S. Schiminov, "Foundations of Quaterion Quantum Mechanics," J. Math. Phys. 3, 207 (1962).
D. Finkelstein, J. M. Jauch and D. Speiser, "Quaterionic Representations of Compact Groups," J. Math. Phys. 4, 136 (1963).
D. Finkelstein, J. M. Jauch and S. Schiminovich, "Principle of General Q Covariance," J. Math. Phys. 4, 788 (1963).
A. R. Marlow, "Unified Dirac-Von Neumann Formulation of Quantum Mechanics. I. Mathematical Theory," J. Math. Phys. 6, 919 (1965).
R. Arens and D. Babbitt, "Algebraic Difficulties of Preserving Dynamical Relations When Forming Quantum-Mechanical Operators," J. Math. Phys. 6, 1071 (1965).
A. Landé, New Foundations of Quantum Mechanics (Cambridge, 1965).
A. Katz, Nuovo Cimento 44A, 871 (1966).
H. Primas, "A Density Functional Representation of Quantum Chemistry. I. Motivation and General Formalism," Intl. J. Quantum Chem. 1, 493 (1967).
L. E. Ballentyne, "Einstein's Interpretation of Quantum Mechanics," Am. J. Phys. 40, 1763 (1972).
D. I. Blochintsev and Z. Smith, "Space and Time in the Microworld," (Kluwer, 1973).
B. S. DeWitt and N. Graham, eds., The Many-Worlds Interpretation of Quantum Mechanics (Princeton, 1973).
E. Scheibe, Logical Analysis of Quantum Mechanics (Elsevier, 1973).

Correspondence of Classical and Quantum Mechanics

H. Weyl, "Quantenmechanik und Gruppentheorie," Z. Phys. 46, 1 (1927).
A. N. Argyers, "The Bohr-sommerfeld Quantization Rule and the Weyl Correspondence," Physics 2, 131 (1965).
F. Guerra and R. Marra, "Configuration Spaces for Quantum Spinning Particles," Phys. Rev. Lett. 50, 1715 (1983).

Path Integral Method

R. P. Feynman, "Space-Time Approach to Non-Relativistic Quantum Mechanics," Rev. Mod. Phys. 20, 367 (1949).
H. Davies, Proc. Camb. Phil. Soc. 53, 199 (1952).
B. Davisson, Proc. Roy. Soc. A225, 252 (1954).
S. F. Edwards, Proc. Roy. Soc. A232, 371, 377 (1955).
W. K. Burton and A. H. de Borde, Nuovo Cimento 2, 197 (1955).
P. T. Matthews and A. Salam, "Propagators of Quantized Fields," Nuovo Cimento 2, 120 (1955).
C. Morette, "On the Definition and Approximation of Feynman's Path Integrals," Nuovo Cimento 2, 120 (1955).
M. Kac, "On Distributions of Certain Wiener Fundtionals," Trans. Am. Mat. Soc. 65, 1 (1949).
M. D. Donsker and M. Kac, J. Res. Natl. Bur. Std. 44, 551 (1950).
S. F. Edwards and R. E. Peierls, Proc. Roy. Soc. A224, 24 (1954).
E. S. Fradkin, Dokl. Akad. Nauk SSSR 98, 47 (1954).
P. Choquard, Helv. Phys. Acta 28, 89 (1955).
C. W. Kilmister, "A New Quaternion Approach to Meson Theory," Proc. Camb. Phil. Soc. 54, 302 (1958).
H. Davies, Proc. Camb. Phil. Soc. 53, 199 (1957).
J. Lopuszanski, Nuovo Cimento Suppl. 7 (1958), p. 61.
G. V. Ryazanov, "Quantum-Mechanical Probabilities as Path Sums," Zh. Eksp. Teor. Fiz. 35, 121 (1958).
W. Tobocman, Nuovo Cimento 3, 12132 (1956).
J. L. Martin, "The Feynman Principle for a Fermi System," Proc. Roy. Soc. A251, 543 (1959).
I. M. Gel'fand and A. M. Yaglom, "Integration in Functional Spaces and Its Application to Quantum Physics," J. Math. Phys. 1, 48 (1959).
S. G. Brush, "Functional Integrals and Statistical Physics," Rev. Mod. Phys. 33, 79 (1961).
W. Yourgrau and S. Mandelstam, Variational Principles in Dynamics and Quantum Theory (Dover, 2007).
R. P. Feynman, "The Concept of Probability in Quantum Mechanics," in Proc. Second Berkeley Symposium on Mathemtical Statistics and Probability (U. of California Press, 1954).
J. R. Klander, Ann. Phys. (N.Y.) 11, 123 (1960).
S. S. Schweber, "On Feynman Quantization," J. Math. Phys. 3, 831 (1962).
H. Davies, Proc. Camb. Phil. Soc. 59, 147 (1963).
R. P. Feynman and F. L. Vernon, Jr., Ann. Phys. (N.Y.) 21, 118 (1963).
G. Rosen, "Approximate Evaluation of Feynman Functional Integrals," J. Math. Phys. 4, 1327 (1963).
E. Nelson, "Feynman Integrals and the Schrödinger Equation," J. Math. Phys. 5, 332 (1964).
S. F. Edwards and Y. V. Gulyaev, Proc. Roy. Soc. A279, 229 (1964).
R. L. Zimmerman, "Evaluation of Feynman's Functional Integrals," J. Math. Phys. 6, 1117 (1965).
J. G. Gilson, "Functional Viewpoint in Quantum Mechanics," Nuovo Cimento 40, 993 (1965).
C. Garrod, "Hamilton Path-Integral Methods," Rev. Mod. Phys. 38, 483 (1966).
R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, 1966).
A. M. Arthurs, Proc. Camb. Phil. Soc. 62, 463 (1966).
L. Cohen, "Generalized Phase-Space Distribution Functions," J. Math. Phys. 7, 781 (1966).
M. C. Gutzwiller, "Phase-Integral Approximation in Momentum Space and the Bound State of an Atom," J. Math. Phys. 8, 1979 (1967).
L. Schulman, "A Path Integral for Spin," Phys. Rev. 176, 1558 (1968).
V. Bezák, "Path Representations of Quantum-Mechanical Energy-Level Density," Proc. Camb. Phil. Soc. 64, 787 (1968).
M. C. Gutzwiller, "Phase-Integral Approximation in Momentum Space and the Bound States of an Atom. II," J. Math. Phys. 10, 1004 (1969).
L. Cohen, "Hamiltonian Operators via Feynman Path Intgrals," J. Math. Phys. 11, 3296 (1970).
A. M. Arthurs, "Path Integrals in Polar Coordinates," Proc. Roy. Soc. A313, 445 (1969).
M. C. Gutzwiller, "Periodic Orbits and Classical Quantization Conditions," J. Math. Phys. 12, 343 (1971).
J. G. Jones and G. J. Papadapoulos, "On the Exact Propagator," J. Phys. A 4, L86 (1971).
M. G. G. Laidlaw and C. M. DeWitt, "Feynman Functional Integrals for Systems of Indistinguishable Particles," Phys. Rev. D 3, 1375 (1971).
I. W. Mayes and J. S. Dowker, "Canonical Functional Integrals in General Coordinates," Proc. Roy. Soc. A 327, 131 (1972).
V. I. Blokhintsev and B. M. Barbashov, Usp. Fiz. Nauk 106, 593 (1972) [Sov. Phys. Uspehki 15, 193 (1972)].
C. M. DeWitte-Morette, Comm. Math. Phys. 28, 47 (1972).
M. E. Berry and K. E. Mount, "Semi-Classical Approximation in Wave Mechanics," Rep. Prog. Phys. 35, 315 (1972).
A. Siegel and T. Burke, "Approximate Functional Integral Methods in Statistical Mechanics. I. Moment Expansions," J. Math. Phys. 13, 168 (1972).
J. C. Light and J. M. Yuan, "Quantum Path Integrals and Reduced Fermion Density Matrices: One-Dimensional Noninteracting Systems," J. Chem. Phys. 58, 660 (1973).
M. D. Donsker and S. R. S. Varadhan, "Asymptotic Evaluation of Certain Wiener Integrals for Large Time," in Functional Integration and Its Applications (Oxford, 1975).
M. Suzuki, Comm. Math. Phys. 51, 183 (1976).
J. R. Klauder, "Path Integrals and Stationary-Phase Approximations," Phys. Rev. D 19, 2349 (1978).
G. J. Papadopoulos and J. T. Devreese, Path Integrals and Their Applications (Plenum, 1978).
S. Albererio and R. Høgh-Krohn, Feynman Path Integrals and the Corresponding Method of Stationary Phase (Springer, 1979).
B. Simon, Functional Integrals and Quantum Physics (Academic Press, 1979).
L. S. Schulman, Techniques and Applications of Path Integration (Wiley, 1981).
J. Glimm and A. Jaffe, Quantum Physics, a Functional Integral Point of View (Springer, 1981).

Anti-Complementarity Theories and Arguments

A. Einstein, B. Podolsky and N. Rosen, "Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?," Phys. Rev. 47, 777 (1933).

N. Bohr, "Can Quantum-Mechanical Description of Physical Reality Be Complete?," Phys. Rev. 48, 696 (1935).

W. H. Furry, "Note on the Quantum-Mechanical Theory of Measurement," Phys. Rev. 49, 393 (1936).

W. H. Furry, "Remarks on Measurements in Quantum Theory," Phys. Rev. 49, 476 (1936).

P. A. Schilp, ed., Albert Einstein, Philosopher Scientist (Library of Living Philosophers, Evanston, IL, 1949).

D. Bohm, "A Suggested Interpretation of the Quantum Theory in Terms of 'Hidden' Variables," Phys. Rev. 85, 166 (1952).

D. Bohm, "A Suggested Interpretation of the Quantum Theory in Terms of 'Hidden' Variables. II," Phys. Rev. 85, 180 (1952).

O. Halpern, "A Proposed Re-Interpretation of Quantum Mechanics," Phys. Rev. 87, 389 (1952).

D. Bohm, "Reply to a Criticism of Causal Re-Interpretation of Quantum Theory," Phys. Rev. 87, 389 (1952).

I. Fényes, "Eine wahrscheinlichkeitstheoretische Begründung und Interpretation der Quantenmechanik," Z. Phys. 132, 81 (1952).

L. de Broglie, "Une Interprétation Nouvelle de la Méchanique Ondulatoire: Est-Elle Possible?," Nuovo Cimento 1, 37 (1955).

F. Bopp, Naturwiss. 42, 531 (1955).

N. Wiener and A. Siegel, "The Differential Space Theory of Quantum Systems," Nuovo Cimento Suppl. 2, 982 (1955).

V. A. Fock, Czechoslov. Phys. J. 5, 436 (1955).

M. Bunge, "Survey of the Interpretations of Quantum Mechanics," Am. J. Phys. 24, 272 (1956).

W. Pauli in Louis de Broglie, Physicien et Penseur, ed. by A. George (Albin Michel, 1953).

W. Heisenberg, "The Development of the Interpretation of the Quantum Theory" in Niels Bohr and the Development of Physics, ed. by W. Pauli (McGraw-Hill, 1955).

P. Bocchieri and A. Loinger, "Einge Bemerkungen über die Frage der verborgenen Parameter," Z. Phys. 148, 308 (1957).

W. Weizel, "Ableitung der Quantentheorie aus einem klassischen, kausalisch determinierten Modell," Z. Phys. 134, 264 (1953).

W. Weizel, "Ableitung der Quantentheorie aus einem klassischen, kausalisch determinierten Modell. II," Z. Phys. 135, 270 (1953).

L. Jánossy, Ann. Phys. 11, 323 (1953).

S. T. Epstein, "Causal Interpretation of Quantum Mechanics," Phys. Rev. 89, 318 (1953).

D. Bohm, "Proof that Probability Density Approaches |ψ|2 in Causal Interpretation of the Quantum Theory," Phys. Rev. 89, 458 (1953).

T. Takabayasi, Prog. Theor. Phys. 8, 143 (1952).

D. Bohm, Prog. Theor. Phys. 9, 273 (1953).

L. de Broglie, "Sur l'Interprétation Causale et Nonlinéaire de la Mécanique Ondulatoire," Comptes Rendus Acad. Sci. 237, 441 (1953).

L. de Broglie, "Récherches sur la Théorie des Quanta," J. de Physique 20, 963 (1959).

D. Bohm and Y. Aharonov, "Further Discussion of Possible Experimental Tests for the Paradox of Einstein, Podolsky and Rosen," Nuovo Cimento 17, 964 (1960).

R. Komar, "Indeterminate Character of the Reduction of the Wave Packet in Quantum Theory," Phys. Rev. 126, 365 (1962).

D. Bohm, "Hidden Variables in the Quantum Theory," in Quantum Theory III: Radiation and High Energy Physics, ed. by D. R. Bates (Academic Press, 1962).

D. Kershaw, "Theory of Hidden Variables," Phys. Rev. 136, B1850 (1954).

J. M. Jauch and C. Piron, "Can Hidden Variables Be Excluded in Quantum Mechanics?," Helv. Phys. Acta 36, 827 (1963).

E. Nelson, "Derivation of the Schrödinger Equation from Newtonian Mechanics," Phys. Rev. 150, 1079 (1966).

C. Piron, "Axiomatique Quantique," Helv. Phys. Acta 37, 439 (1964).

J. S. Bell, "On the Problem of Hidden Variables in Quantum Mechanics," Rev. Mod. Phys. 38, 447 (1966).

D. Bohm and J. Bub, "A Proposed Solution of the Measurement Problem in Quantum Mechanics by a Hidden Variable Theory," Rev. Mod. Phys. 38, 453 (1966).

S. Kochen and E. P. Specker, "The Problem of Hidden Variables in Quantum Mecyhanics," J. Math. Mech. 17, 59 (1967).

J. M. Jauch and C. Pron, "Hidden Variables Revisited," Rev. Mod. Phys. 40, 228 (1968).

J. Mittlestaedt, Philosophische Probleme der Modernen Physik (Mannheim, 1966).

S. P. Gudder, "Hidden Variables in Quantum Mechanics Reconsidered," Rev. Mod. Phys. 40, 229 (1968).

J. H. Tutsch, "Collapse Time for the Bohm-Bub Hidden Variable Theory," Rev. Mod. Phys. 40, 232 (1968).

D. Bohm and J. Bub, "On Hidden Variables - a Reply to Comments by Jauch and Pron and by Gudder," Rev. Mod. Phys. 40, 232 (1968).

J. F. Klauser, M. A. Horne, A. Shimony and R. A. Holt, "Proposed Experiment to Test Local Hidden-Variable Theories," Phys. Rev. Lett. 23, 880 (1969).

L. L. Ballentine, "The Statistical Interpretation of Quantum Mechanics," Rev. Mod. Phys. 42, 358 (1970).

C. A. Hooker, "Concerning Einstein's, Podolsky's and Rosen's Objection to Quantum Theory," Am. J. Phys. 38, 851 (1970).

E. P. Wigner, "On Hidden Variables and Quantum Mechanical Probabilities," Am. J. Phys. 38, 1005 (1970).

B. d'Espagnat, ed., Foundations of Quantum Mechanics (Academic Press, 1971).

A. I. Akhiezer and R. V. Polovin, Usp. Akad. Nauk 107, 463 (1973) [Sov. Phys. Usp. 15, 500 (1972)].

J. F. Clauser and M. A. Horne, "Experimental Consequences of Objective Local Theories," Phys. Rev. D 10, 526 (1974).

L. de Broglie, Comtes Rendu Acad. Sci. 278B, 721 (1974).

B. d'Espagnat, "Use of Inequalities for the Experimental Test of a General Conception of the Foundation of Microphysics," Phys. Rev. D 11, 1424 (1975).

D. Bohm and B. J. Hiley, "Nonlocality and Polarization Correlations of Annihilation Quanta," Nuovo Cimento B35, 137 (1976).

P. M. Eberhard, Nuovo Cimento B38, 75 (1977).

J. F. Clauser and A. Shimony, "Bell's Theorem: Experimental Tests and Implications," Rep. Prog. Phys. 41, 1881 (1978).

N. D. Mermin, "Quantum Mechanics vs. Local Realism Near the Classical Limit: A Bell Inequality for Spin S," Phys. Rev. D 22, 356 (1980).

N. D. Mermin, "Bringing Home the Atomic World: Quantum Mysteries for Anybody," Am. J. Phys. 49, 940 (1981).

F.Selleri and G. Tarozzi, Riv. Nuovo Cimento 4, 1 (1981).

A. Fine, "Hidden Variables, Joint Probability and the Bell Inequalities," Phys. Rev. Lett. 48, 291 (1982).

I. Pitowsky, "Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes," Phys. Rev. Lett. 48, 1299 (1982).

A. Garg and N. D. Mermin, "Bell Inequalities with a Range of Violation That Does Not Diminish as the Spin Becomes Arbitrarily Large," Phys. Rev. Lett. 49, 901 (1982).

N. D. Mermin and G. Schwarz, Found. Phys. 12, 101 (1982).

N. D. Mermin, "Comment on 'Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes'," Phys. Rev. Lett. 49, 1214 (1982).

A. L. Macdonald, "Comment on 'Resolution of the Einstein-Podolsky-Rosen and Bell Paradoxes'," Phys. Rev. Lett. 49, 1215 (1982).

I. Pitowski, "Pitowski Responds," Phys. Rev. Lett. 49, 1216 (1982).

A. Garg and N. D. Mermin, "Correlation Inequalities and Hidden Variables," Phys. Rev. Lett. 49, 1220 (1982).

H. P. Stapp, "Bell's Theorem as a Nonlocality Property of Quantum Theory," Phys. Rev. Lett. 49, 1470 (1982).

P. H. Eberhard, "Constraints of Determinism and of Bell's Inequalities Are Not Equivalent," Phys. Rev. Lett. 49, 1474 (1982).

A. Fine, "Comments on the Significance of Bell's Theorem," Phys. Rev. Lett. 49, 1536 (1982).

P. A. Moldauer, "Comment on 'Bell's Theorem as a Nonlocality Property of Quantum theory'," Phys. Rev. Lett. 50, 701 (1983).

H. P. Stapp, "Stapp Responds," Phys. Rev. Lett. 50, 702 (1983).

O. Costa de Beauregard, "Lorentz and CP Inveriances and the Einstein-Podolsky-Rosen Correlations," Phys. Rev. Lett. 50, 867 (1983).

T. D. Angelidis, "Bell's Theorem: Does the Clauser-Horne Inequality Hold for All Local Theories?" Phys. Rev. Lett. 51, 1819 (1983).

A. Garg and N. D. Mermin, "Farkas's Lemma and the Nature of Reality: Statistical Implications of Quantum Correlations," Found. Phys. 14, 1 (1984).

M. D. Reid and D. F. Walls, "Violation of Bell's Inequalities and Quantum Optics," Phys. Rev. Lett. 53, 955 (1984).

A. Garg and A. J. Leggett, "Comment on 'Bell's Theorem: Does the Clauser-Horne Inequality Hold for All Local Theories?'," Phys. Rev. Lett. 53, 1019 (1984).

N. D. Mermin, "Generalization of Bell's Theorem to Higher Spins and Higher Correlations," in Fundamental Questions in Quantum Mechanics, ed. by L. M. Roth and A. Inomata (Gordon and Breach, 1984), p. 7.

A. O. Barut and P. Meystre, "Rotational Invariance, Locality, and Einstein-Podolksy-Rosen Experiments," Phys. Rev. Lett. 53, 1021 (1984).

T. D. Angelidis, "Angelidis Responds," Phys. Rev. Lett. 53, 1022 (1984).

M. A. Horne and A. Shimony, "Comment on 'Bell's Theorem: Does the Clauser-Horne Inequality Hold for All Local Theories?'," Phys. Rev. Lett. 53, 1296 (1984).

T. D. Angelidis, "Angelidis Responds," Phys. Rev. Lett. 53, 1297 (1984).

D. Z. Albert, Y. Aharonov and S. D'Amato, "Curious New Statistical Prediction of Quantum Mechanics," Phys. Rev. Lett. 54, 5 (1985).

A. J. Leggett and A. Garg, "Quantum Mechanics Versus Macroscopic Realism: Is the Flux There When Nobody Looks?" Phys. Rev. Lett. 54, 857 (1985).

J. G. Cramer, "The Transactional Interpretation of Quantum Mechanics," Rev. Mod. Phys. 58, 647 (1986).

A. J. Leggett in Directions in Condensed-Matter Physics, ed. by G. Grinstein and G. Mazenko (World Sci., 1986), p. 237.


Tests for Hidden Variables

S. J. Freedman and J. F. Clauser, "Experimental Test of Local Hidden-Variable Theories," Phys. Rev. Lett. 28, 938 (1972).
G. Faraci, D. Gutkowski, S. Notarrigo and A. R. Pennisi, "An Experimental Test of the EPR Paradox," Lett. Nuovo Cimento 9, 607 (1974).
L. R. Kasday, J. D. Ullman and C. S. Wu, "Angular Correlation of Compton-Scattered Annihilation Photons and Hidden Variables," Nuovo Cimento B25, 633 (1975).
J. F. Clauser, "Experimental Investigation of a Polarization Correlation Anomaly," Phys. Rev. Lett. 36, 1223 (1976).
A. R. Wilson, J. Lowe and D. K. Butt, J. Phys. G 2, 613 (1976).
E. S. Fry and R. C. Thompson, "Experimental Test of Hidden-Variable Theories," Phys. Rev. Lett. 37, 465 (1976).
M. Lamehi-Rachti and M. Mittig, "Quantum Mechanics and Hidden Variables: A Test of Bell's Inequality by the Measurement of the Spin Correlation in Low-Energy Proton-Proton Scattering," Phys. Rev. D 14, 2543 (1976).
M. Bruno, M. d;Agostino and C. Maroni, Nuovo Cimento B40, 142 (1977).
J. F. Clauser and A. Shimony, Rep. Prog. Phys. 49, 349 (1978).
A. Aspect, P. Grangier and G. Roger, "Experimental Tests of Realistic Local Theories via Bell's Theorem," Phys. Rev. Lett. 47, 460 (1981).
A. Aspect, P. Grangier and G. Roger, "Experimental Realization of Einstein-Podolsky-Rosen-Bohm Gedankenexperiment: A New Violation of Bell's Inequalities," Phys. Rev. Lett. 49, 91 (1982).
A. Aspect, J. Dalibard and G. Roger, "Experimental Test of Bell's Inequalities Using Time-Varying Analyzers," Phys. Rev. Lett. 49, 1804 (1982).
W. Pierre, A. J. Duncan, H. J. Beyer and H. Kleinpoppen, "Polarization Correlation of the Two Photons Emitted by Metastable Atomic Deuterium: A Test of Bell's Inequality," Phys. Rev. Lett. 54, 1790 (1985).
C. O. Alley and Y. H. Shih, "New Type of Einstein-Podolsky-Rosen Experiment Using Pairs of Light Quanta Produced by Optical Parametric Down Conversion," in Proc. 2nd Intl. Symp. Foundations of Quantum Mechanics in Light of New Technology, Vol. 47, ed. by M. Namiki (1985).
J. S. Bell, Speakable and Unspeakable in Quantum Mechanics (Cambridge, 1988).
Z. Y. Ou and L. Mandel, "Violation of Bell's Inequality and Classical Probability in a Two-Photon Correlation Experiment," Phys. Rev. Lett. 61, 500 (1988).
J. G. Rarity and P. R. Tapster, "Experimental Violation of Bell's Inequality Based on Phase and Momentum," Phys. Rev. Lett. 64, 2495 (1990).
M. O. Scully, B.-G. Englert and H. Walther, "Quantum Optical Tests of Complementarity," Nature 351, 111 (1991).

Quantization of Relativity and Covariant Quantum Theory

S. Mandelstam, Ann. Phys. (N.Y.) 19, 25 (1962).
D. R. Brill and R. H. Gowdy, "Quantization of General Relativity," Rep. Prog. Phys. 33, 413 (1970).
R. Delburgo and A. Salam, Phys. Lett. 40B, 381 (1972).
C. J. Isham, R. Penrose and D. W. Sciama, eds., Quantum Gravity (Oxford, 1975).
N. M. J. Woodhouse, "Particle Creation by Gravitational Fields," Phys. Rev. Lett. 36, 999 (1976).
T. Egouchi and P. G. O. Freund, "Quantum Gravity and World Topology," Phys. Rev. Lett. 37, 1251 (1976).

Role of Electromagnetic Potentials

Y. Aharonov and D. Bohm, "Significance of Electromagnetic Potentials in the Quantum theory," Phys. Rev. 115, 485 (1959).

W. H. Furry and N. F. Ramsey, "Significance of Potentials in Quantum Theory," Phys. Rev. 118, 623 (1960).

W. Ehrenberg and R. E. Siday, Proc. Phys. Soc. London B62, 8 (1949).

F. G. Werner and D. R. Brill, "Significance of Electromagnetic Potentials in the Quantum Theory in the Interpretation of Electron Interferometer Fringe Observations," Phys. Rev. Lett. 4, 344 (1960).

H. Wegener, Z. Phys. 159, 243 (1960).

M. Peshkin, I. Talmi and L. J. Tessie, Ann. Phys. (N.Y.) 12, 426 (1961).

Y. Aharonov and D. Bohm, "Further Considerations on Electromagnetic Potentials in the Quantum Theory," Phys. Rev. 123, 1511 (1961).

H. E. Mitler, "Electromagnetic Potentials in Quantum Mechanics," Phys. Rev. 124, 940 (1961).

F. Lenz, Z. Naturwiss. 49, 82 (1962).

S. Mandelstam, Ann. Phys. (N.Y.) 19, 1 (1962).

B. S. DeWitt, "Quantum Theory Without Electromagnetic Potentials," Phys. Rev. 125, 2189 (1962).

Y. Aharonov and D. Bohm, "Remarks on the Possibility of Quantum electrodynamics Without Potentials," Phys. Rev. 125, 2192 (1962).

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