On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields*
S.-i. Tomonaga
Abstract
S.-i. Tomonaga
Abstract
Journal of the Physical Society of Japan 76 (2007) 111002 (3 pages) From Yukawa's Pion to Spontaneous Symmetry Breaking Yoichiro Nambu Progress of Theoretical Physics Vol. 2 No. 2 (1947) pp. 71–88 On Dirac's General Transformation Function I Satosi Watanabe Progress of Theoretical Physics Vol. 2 No. 3 (1947) pp. 101–116 On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields. II Zirô Koba, Takao Tati and Sin-ichiro Tomonaga Progress of Theoretical Physics Vol. 2 No. 3 (1947) pp. 117–126 On the Canonical Transformation in Quantum Theory Ryōyū Utiyama Progress of Theoretical Physics Vol. 2 No. 4 (1947) pp. 187–197 Conflict between Matter and Field Mituo Taketani Progress of Theoretical Physics Vol. 2 No. 4 (1947) pp. 198–208 On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields. III Zirô Koba, Takao Tati and Sin-ichirô Tomonaga Progress of Theoretical Physics Vol. 3 No. 1 (1948) pp. 1–13 On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields. IV* Suteo Kanesawa and Sin-itiro Tomonaga Progress of Theoretical Physics Vol. 3 No. 2 (1948) pp. 101–113 On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields V Suteo Kanesawa and Sin-itiro Tomonaga Progress of Theoretical Physics Vol. 3 No. 2 (1948) pp. 124–140 On the Interaction of the Meson and Nucleon Field in the Super-Many-Time Theory Yonezi Miyamoto Progress of Theoretical Physics Vol. 3 No. 2 (1948) pp. 141–151 Auxiliary Condition and Gauge Transformation in the “Super-Many-Time Theory”. I Zirô Koba, Yasuharu Ôisi and Muneo Sasaki Progress of Theoretical Physics Vol. 3 No. 4 (1948) pp. 378–390 On Dirac's General Transformation Function II-a Satoshi Watanabe Progress of Theoretical Physics Vol. 3 No. 4 (1948) pp. 391–406 A Self-Consistent Subtraction Method in the Quantum Field Theory, I Takao Tati and Sin-itirô Tomonaga Progress of Theoretical Physics Vol. 4 No. 2 (1949) pp. 209–217 Note on the Formal Solution of the Tomonaga-Schwinger Equation Smio Tani Progress of Theoretical Physics Vol. 4 No. 3 (1949) pp. 297–311 A Remark on Relativistically Invariant Formulation of the Quantum Field Theory Suteo Kanesawa and Zirô Koba Progress of Theoretical Physics Vol. 4 No. 3 (1949) pp. 347–357 On the γ-Decay of Neutral Meson Hiroshi Fukuda and Yoneji Miyamoto Progress of Theoretical Physics Vol. 4 No. 3 (1949) pp. 368–369 General Formulae appearing in the Problem of the Vacuum Polarization H. Umezawa and R. Kawabe Progress of Theoretical Physics Vol. 4 No. 3 (1949) pp. 389–391 Selection Rule for Meson Problem H. Fukuda and Y. Miyamoto Progress of Theoretical Physics Vol. 4 No. 4 (1949) pp. 423–442 Some General Formulae relating to Vacuum Polarization Hiroomi Umezawa and Rokuo Kawabe Progress of Theoretical Physics Vol. 4 No. 4 (1949) pp. 524–531 On the Decay of Heavy Mesons. I S. Ozaki, S. Ôneda and S. Sasaki Progress of Theoretical Physics Vol. 5 No. 1 (1950) pp. 147–148 The Decay of a τ± Meson into π± and π0 Meson H. Fukuda and Y. Miyamoto Progress of Theoretical Physics Vol. 5 No. 1 (1950) pp. 148–150 The Decay of a τ± Meson into a π± Meson and a Photon H. Fukuda and Y. Miyamoto Progress of Theoretical Physics Vol. 5 No. 2 (1950) pp. 165–176 On the Decay of Heavy Mesons III Sadao Ôneda, Seibun Sasaki and Shoji Ozaki Progress of Theoretical Physics Vol. 5 No. 3 (1950) pp. 373–394 On the Decay of a Heavy Meson into Lighter Mesons Shoji Ozaki Progress of Theoretical Physics Vol. 5 No. 3 (1950) pp. 437–458 On the Covariant Formalism of the Quantum Theory of Fields. I Ryoyu Utiyama Progress of Theoretical Physics Vol. 5 No. 3 (1950) pp. 459–472 Radiative Corrections to Decay Processes. I Sigeo Hanawa and Tatuoki Miyazima Progress of Theoretical Physics Vol. 5 No. 3 (1950) pp. 473–488 On the Interaction of Mesons with the Electromagnetic Field. I Toichiro Kinoshita Progress of Theoretical Physics Vol. 5 No. 4 (1950) pp. 523–525 The Yukawa Theory of Nuclear Forces in the Light of Present Quantum Theory of Wave Fields W. Heisenberg Progress of Theoretical Physics Vol. 5 No. 4 (1950) pp. 606–613 On Some Developments in Non-local Field Theory Claude Bloch Progress of Theoretical Physics Vol. 5 No. 4 (1950) pp. 614–633 Force Potentials in Quantum Field Theory Yoichiro Nambu Progress of Theoretical Physics Vol. 5 No. 4 (1950) pp. 696–717 Note on a Lorentz-Invariant Integration in the Quantum Field Theory Ziro Koba Progress of Theoretical Physics Vol. 6 No. 3 (1951) pp. 322–341 On Gauge Invariance and Equivalence Theorems Ziro Koba, Nobumichi Mugibayashi and Shinzô Nakai Progress of Theoretical Physics Vol. 7 No. 4 (1952) pp. 359–366 On the Renormalization Theory of the Interaction of Electrons and Photons Gyô Takeda Progress of Theoretical Physics Vol. 8 No. 4 (1952) pp. 479–492 The Effect of Damping on Radiative Corrections to Electron Scattering and the Problem of Infra-red Catastrophe R. C. Majumdar and A. N. Mitra Progress of Theoretical Physics Vol. 8 No. 4 (1952) pp. 493–494 On the Interaction Representation Y. Takahashi and H. Umezawa Progress of Theoretical Physics Vol. 9 No. 3 (1953) pp. 245–267 A Quantum Theory of Boson Assemblies, II Toshiyuki Nishiyama Progress of Theoretical Physics Vol. 10 No. 4 (1953) pp. 371–385 On the Heisenberg Treatment of the Field Variables Ichie Watanabe Progress of Theoretical Physics Vol. 10 No. 5 (1953) pp. 549–574 Many-body Problem in Quantum Field Theory Kazuhiko Nishijima Progress of Theoretical Physics Vol. 11 No. 2 (1954) pp. 125–142 Mass Spectrum of Elementary Particles I Hiroshi Enatsu Progress of Theoretical Physics Vol. 11 No. 4 (1954) pp. 461–475 The Generalization of Stueckelberg Formalism in the Theory of Quantized Field Minoru Hamaguchi Progress of Theoretical Physics Vol. 11 No. 6 (1954) pp. 537–556 A Formulation of Field Theory in Hilbert Space Giiti Iwata Progress of Theoretical Physics Vol. 30 No. 2 (1963) pp. 236–264 Relativistic Hamiltonian Formalism in Quantum Field Theory and Micro-Noncausality Hiroshi Enatsu Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 707–713 Equation for Pair Correlation Function of n-Vector Model Ryuzo Abe Progress of Theoretical Physics Vol. 78 No. 5 (1987) pp. 996–1008 Local Quantum Mechanics Takao Tati Progress of Theoretical Physics Supplement No.50 (1971) pp. 89–97 Conflict between Matter and Field Mituo Taketani Progress of Theoretical Physics Supplement No.85 (1985) pp. 61–74 Yukawa Meson, Sakata Model and Baryon-Lepton Symmetry Revisited Robert E. Marshak Progress of Theoretical Physics Supplement No.86 (1986) pp. 143–158 Worldsheet Reparametrizations and the Tomonaga-Schwinger-Dirac Formalism for String Theory Sumit R. Das and Mark A. Rubin Progress of Theoretical Physics Supplement No.105 (1991) pp. 116–119 3. Personal Recollections, 1944–1952 Toichiro Kinoshita
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Journal of the Physical Society of Japan 76 (2007) 111002 (3 pages) From Yukawa's Pion to Spontaneous Symmetry Breaking Yoichiro Nambu Progress of Theoretical Physics Vol. 2 No. 2 (1947) pp. 71–88 On Dirac's General Transformation Function I Satosi Watanabe Progress of Theoretical Physics Vol. 2 No. 3 (1947) pp. 101–116 On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields. II Zirô Koba, Takao Tati and Sin-ichiro Tomonaga Progress of Theoretical Physics Vol. 2 No. 3 (1947) pp. 117–126 On the Canonical Transformation in Quantum Theory Ryōyū Utiyama Progress of Theoretical Physics Vol. 2 No. 4 (1947) pp. 187–197 Conflict between Matter and Field Mituo Taketani Progress of Theoretical Physics Vol. 2 No. 4 (1947) pp. 198–208 On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields. III Zirô Koba, Takao Tati and Sin-ichirô Tomonaga Progress of Theoretical Physics Vol. 3 No. 1 (1948) pp. 1–13 On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields. IV* Suteo Kanesawa and Sin-itiro Tomonaga Progress of Theoretical Physics Vol. 3 No. 2 (1948) pp. 101–113 On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields V Suteo Kanesawa and Sin-itiro Tomonaga Progress of Theoretical Physics Vol. 3 No. 2 (1948) pp. 124–140 On the Interaction of the Meson and Nucleon Field in the Super-Many-Time Theory Yonezi Miyamoto Progress of Theoretical Physics Vol. 3 No. 2 (1948) pp. 141–151 Auxiliary Condition and Gauge Transformation in the “Super-Many-Time Theory”. I Zirô Koba, Yasuharu Ôisi and Muneo Sasaki Progress of Theoretical Physics Vol. 3 No. 4 (1948) pp. 378–390 On Dirac's General Transformation Function II-a Satoshi Watanabe Progress of Theoretical Physics Vol. 3 No. 4 (1948) pp. 391–406 A Self-Consistent Subtraction Method in the Quantum Field Theory, I Takao Tati and Sin-itirô Tomonaga Progress of Theoretical Physics Vol. 4 No. 2 (1949) pp. 209–217 Note on the Formal Solution of the Tomonaga-Schwinger Equation Smio Tani Progress of Theoretical Physics Vol. 4 No. 3 (1949) pp. 297–311 A Remark on Relativistically Invariant Formulation of the Quantum Field Theory Suteo Kanesawa and Zirô Koba Progress of Theoretical Physics Vol. 4 No. 3 (1949) pp. 347–357 On the γ-Decay of Neutral Meson Hiroshi Fukuda and Yoneji Miyamoto Progress of Theoretical Physics Vol. 4 No. 3 (1949) pp. 368–369 General Formulae appearing in the Problem of the Vacuum Polarization H. Umezawa and R. Kawabe Progress of Theoretical Physics Vol. 4 No. 3 (1949) pp. 389–391 Selection Rule for Meson Problem H. Fukuda and Y. Miyamoto Progress of Theoretical Physics Vol. 4 No. 4 (1949) pp. 423–442 Some General Formulae relating to Vacuum Polarization Hiroomi Umezawa and Rokuo Kawabe Progress of Theoretical Physics Vol. 4 No. 4 (1949) pp. 524–531 On the Decay of Heavy Mesons. I S. Ozaki, S. Ôneda and S. Sasaki Progress of Theoretical Physics Vol. 5 No. 1 (1950) pp. 147–148 The Decay of a τ± Meson into π± and π0 Meson H. Fukuda and Y. Miyamoto Progress of Theoretical Physics Vol. 5 No. 1 (1950) pp. 148–150 The Decay of a τ± Meson into a π± Meson and a Photon H. Fukuda and Y. Miyamoto Progress of Theoretical Physics Vol. 5 No. 2 (1950) pp. 165–176 On the Decay of Heavy Mesons III Sadao Ôneda, Seibun Sasaki and Shoji Ozaki Progress of Theoretical Physics Vol. 5 No. 3 (1950) pp. 373–394 On the Decay of a Heavy Meson into Lighter Mesons Shoji Ozaki Progress of Theoretical Physics Vol. 5 No. 3 (1950) pp. 437–458 On the Covariant Formalism of the Quantum Theory of Fields. I Ryoyu Utiyama Progress of Theoretical Physics Vol. 5 No. 3 (1950) pp. 459–472 Radiative Corrections to Decay Processes. I Sigeo Hanawa and Tatuoki Miyazima Progress of Theoretical Physics Vol. 5 No. 3 (1950) pp. 473–488 On the Interaction of Mesons with the Electromagnetic Field. I Toichiro Kinoshita Progress of Theoretical Physics Vol. 5 No. 4 (1950) pp. 523–525 The Yukawa Theory of Nuclear Forces in the Light of Present Quantum Theory of Wave Fields W. Heisenberg Progress of Theoretical Physics Vol. 5 No. 4 (1950) pp. 606–613 On Some Developments in Non-local Field Theory Claude Bloch Progress of Theoretical Physics Vol. 5 No. 4 (1950) pp. 614–633 Force Potentials in Quantum Field Theory Yoichiro Nambu Progress of Theoretical Physics Vol. 5 No. 4 (1950) pp. 696–717 Note on a Lorentz-Invariant Integration in the Quantum Field Theory Ziro Koba Progress of Theoretical Physics Vol. 6 No. 3 (1951) pp. 322–341 On Gauge Invariance and Equivalence Theorems Ziro Koba, Nobumichi Mugibayashi and Shinzô Nakai Progress of Theoretical Physics Vol. 7 No. 4 (1952) pp. 359–366 On the Renormalization Theory of the Interaction of Electrons and Photons Gyô Takeda Progress of Theoretical Physics Vol. 8 No. 4 (1952) pp. 479–492 The Effect of Damping on Radiative Corrections to Electron Scattering and the Problem of Infra-red Catastrophe R. C. Majumdar and A. N. Mitra Progress of Theoretical Physics Vol. 8 No. 4 (1952) pp. 493–494 On the Interaction Representation Y. Takahashi and H. Umezawa Progress of Theoretical Physics Vol. 9 No. 3 (1953) pp. 245–267 A Quantum Theory of Boson Assemblies, II Toshiyuki Nishiyama Progress of Theoretical Physics Vol. 10 No. 4 (1953) pp. 371–385 On the Heisenberg Treatment of the Field Variables Ichie Watanabe Progress of Theoretical Physics Vol. 10 No. 5 (1953) pp. 549–574 Many-body Problem in Quantum Field Theory Kazuhiko Nishijima Progress of Theoretical Physics Vol. 11 No. 2 (1954) pp. 125–142 Mass Spectrum of Elementary Particles I Hiroshi Enatsu Progress of Theoretical Physics Vol. 11 No. 4 (1954) pp. 461–475 The Generalization of Stueckelberg Formalism in the Theory of Quantized Field Minoru Hamaguchi Progress of Theoretical Physics Vol. 11 No. 6 (1954) pp. 537–556 A Formulation of Field Theory in Hilbert Space Giiti Iwata Progress of Theoretical Physics Vol. 30 No. 2 (1963) pp. 236–264 Relativistic Hamiltonian Formalism in Quantum Field Theory and Micro-Noncausality Hiroshi Enatsu Progress of Theoretical Physics Vol. 71 No. 4 (1984) pp. 707–713 Equation for Pair Correlation Function of n-Vector Model Ryuzo Abe Progress of Theoretical Physics Vol. 78 No. 5 (1987) pp. 996–1008 Local Quantum Mechanics Takao Tati Progress of Theoretical Physics Supplement No.50 (1971) pp. 89–97 Conflict between Matter and Field Mituo Taketani Progress of Theoretical Physics Supplement No.85 (1985) pp. 61–74 Yukawa Meson, Sakata Model and Baryon-Lepton Symmetry Revisited Robert E. Marshak Progress of Theoretical Physics Supplement No.86 (1986) pp. 143–158 Worldsheet Reparametrizations and the Tomonaga-Schwinger-Dirac Formalism for String Theory Sumit R. Das and Mark A. Rubin Progress of Theoretical Physics Supplement No.105 (1991) pp. 116–119 3. Personal Recollections, 1944–1952 Toichiro Kinoshita
Key concepts: Physics, Invariant (physics), Mathematical physics, Quantum, Quantum mechanics, Quantum electrodynamics, Quantum field theory, Classical mechanics