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`Quantum Condition' in the Phase-space Representation of Quantum Mechanics

Takehiko Takabayasi

Progress of Theoretical Physics Vol. 10 No. 1 (1953) pp. 121-122 Equivalence between the Formulation of Quantum Mechanics in terms of Quantum Potential and the One in terms of Markoff-like Process Takehiko Takabayasi Progress of Theoretical Physics Vol. 10 No. 1 (1953) pp. 122-124 Subsidiary Conditions in the Phase-space Representation of Quantum Mechanics Takehiko Takabayasi Progress of Theoretical Physics Vol. 11 No. 4 (1954) pp. 341-373 The Formulation of Quantum Mechanics in terms of Ensemble in Phase Space Takehiko TakabayasiProgress of Theoretical Physics Vol. 10 No. 1 (1953) pp. 121-122 Equivalence between the Formulation of Quantum Mechanics in terms of Quantum Potential and the One in terms of Markoff-like Process Takehiko Takabayasi Progress of Theoretical Physics Vol. 10 No. 1 (1953) pp. 122-124 Subsidiary Conditions in the Phase-space Representation of Quantum Mechanics Takehiko Takabayasi Progress of Theoretical Physics Vol. 11 No. 4 (1954) pp. 341-373 The Formulation of Quantum Mechanics in terms of Ensemble in Phase Space Takehiko Takabayasi

Progress of Theoretical PhysicsJul 1, 19530 citations

Subsidiary Conditions in the Phase-space Representation of Quantum Mechanics

Takehiko Takabayasi

Progress of Theoretical Physics Vol. 11 No. 4 (1954) pp. 341-373 The Formulation of Quantum Mechanics in terms of Ensemble in Phase Space Takehiko Takabayasi

Progress of Theoretical PhysicsJul 1, 19530 citations

The Formulation of Quantum Mechanics in terms of Ensemble in Phase Space

Takehiko Takabayasi

The formulation of non-relativistic quantum mechanics in terms of ensemble in phase space is established by clarifying the subsidiary conditions for the phase space ensemble to represent a pure state, and thereby the equivalent correspondence between this formulation and the alternative formulation in terms of quantum potential previously developed is exhibited.

Progress of Theoretical PhysicsApr 1, 1954184 citations

A Non-local Wave Equation and its Connection with the Dirac Particle

Takehiko Takabayasi

Progress of Theoretical Physics Vol. 9 No. 6 (1953) pp. 681-683 On the Separability of Dirac Equation Takehiko Takabayasi

Progress of Theoretical PhysicsMay 1, 19530 citations

Schwinger's Variational Principle in Quantum Mechanics with Velocity Dependent Potential. II

Toshiharu Kawai

Progress of Theoretical Physics Vol. 50 No. 2 (1973) pp. 680–690 Schwinger’s Variational Principle in Quantum Mechanics with Velocity Dependent Potential. III Hideki Kamo and Toshiharu Kawai Progress of Theoretical Physics Vol. 52 No. 5 (1974) pp. 1687–1701 A Quantum-Theoretical Lagrangian Formalism for Quasi-Linear Field Theories. I Takao Okabayashi and Hiroyuki Kikugawa

Progress of Theoretical PhysicsMay 1, 19735 citations

On the Method of the Third Quantization

Y. Nambu

Progress of Theoretical Physics Vol. 5 No. 1 (1950) pp. 1-13 A Note on the Eigenvalue Problem in Crystal Statistics Yôichirô Nambu Progress of Theoretical Physics Vol. 5 No. 1 (1950) pp. 135-137 Density Matrix and New Configuration Space T. Nishiyama Progress of Theoretical Physics Vol. 11 No. 2 (1954) pp. 190-206 Analysis of the Structure of Transformation Function in Quantum Mechanics Smio Tani Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 2125-2132 Super-Quantization. I Susumu OkuboProgress of Theoretical Physics Vol. 5 No. 1 (1950) pp. 1-13 A Note on the Eigenvalue Problem in Crystal Statistics Yôichirô Nambu Progress of Theoretical Physics Vol. 5 No. 1 (1950) pp. 135-137 Density Matrix and New Configuration Space T. Nishiyama Progress of Theoretical Physics Vol. 11 No. 2 (1954) pp. 190-206 Analysis of the Structure of Transformation Function in Quantum Mechanics Smio Tani Progress of Theoretical Physics Vol. 49 No. 6 (1973) pp. 2125-2132 Super-Quantization. I Susumu Okubo

Progress of Theoretical PhysicsSep 1, 19505 citations

Equivalence between the Formulation of Quantum Mechanics in terms of Quantum Potential and the One in terms of Markoff-like Process

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Equivalence between the Formulation of Quantum Mechanics in terms of Quantum Potential and the One in terms of Markoff-like Process

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