Quantum Theory in Pseudo-Hilbert Space
スポンサーリンク
概要
- 論文の詳細を見る
A method for treating the Hilbert space with an indefinite metric operator is given. Any transformation of state vectors and operators appearing in physics is generated by a"pseudo-unitary operator". For such transformations two kinds of transformation properties, "covariant"and"contravariant", are considered, just like in the case of the Lorentz transformations in the Minkowski space. It is shown that the difficulty of the Lorentz non-invariance of Gupta's theory in the quantum electrodynamics(reference 2)is due to the ignorance of such transformation properties. Applying our method to the electromagnetic field, we formulate a covariant quantum electrodynamics.
- 理論物理学刊行会の論文
- 1958-12-25
著者
-
Konisi Gaku
Department Of Physics Kwansei Gakuin University
-
Konisi Gaku
Department Of Physics Osaka University
-
Ogimoto Takesi
Department Of Physics Osaka University
関連論文
- The Superstring Action with General Reparametrization Symmetry : Particles and Fields
- Brans-Dicke Theory from M_4×Z_2 Geometry
- Reflection Symmetry of Conspiring Fermion Trajectories
- Collective Excitations in Local-Gauge Invariant Superconductivity Models
- The Number of Physical States Satisfying Supergauge Conditions in Dual Resonance Models
- Left-Right Symmetric Model from Geometric Formulation of Gauge Theory in M_4×Z_2×Z_2 : Particles and Fields
- NS Open Strings with B Fields and Their Interactions with NS Closed Strings
- Interaction between Noncommutative Open Strings and Closed-String Tachyons
- Constrained Quantization of Charged Strings in a Background B Field and g-Factors
- Brans-Dicke Theory on M_4×Z_2 Geometry : Particles and fields
- Super Differential Forms on Super Riemann Surfaces : Particles and Fields
- Construction of Super Schwarzian Connection in Conformal Field Theories on Higher-Genus Super Riemann Surfaces : General and Mathematical Physics
- Weak Constraints in Conformal Field Theories on Higher-Genus Riemann Surfaces : Calculation of the Schwarzian Connection and Modified Vertex Operators : Particles and Fields
- Super Schwarzian Connections in Krichever-Novikov Superalgebras : Particles and Fields
- KN Superalgebras with Vertex Operators : Particles and Fields
- KN Algebra Derived from Virasoro Algebra with Vertex Operators : Particles and Fields
- Geometric and BRST Formulations of Interacting Strings : Particles and Fields
- Lorentz-Covariant Lagrangian Formulation of the Interacting Heterotic String Theory : Particles and Fields
- Electromagnetic Properties of Heterotic String
- Covariant Formulation of Interacting Strings with Compactified Dimensions : Particles and Fields
- Analyticity in Coupling Constant, Angular Momentum and Energy of the S-Matrix for Potential Scattersng
- Maximum Analyticity in Angular Momentum and Energy of the Bethe-Salpeter Scattering Amplitudes
- Macroscopic Causality and Lower Limit for the Momentum Derivative of the Scattering Phase Shift
- Quantum Theory in Pseudo-Hilbert Space. II
- Goldberger-Treiman Relation in the Unitary Symmetry Model
- Fermionic External Field and Space Compactification in the Heterotic String Theory
- Unitarity, Factorization Theorem and Removal of Level Degeneracy in Dual Resonance Model
- Generalized Gauge Conditions for Closed String Models with Intrinsic Spin
- Anti-Shrinkage of the p-p^^- Diffraction Scattering
- Supergauge Algebra and Interaction between Open and Closed Strings
- Eigenchannels and Unitary Separation of Background Parts in Regge-Pole Theory
- Brans-Dicke Theory and Discrete Symmetry
- Derivation of the Virasoro Conditions in the String Model
- Quantum Theory in Pseudo-Hilbert Space
- The q-Number Schwinger Term and the Breakdown of the Associative Law for Current Operators
- N=1 and 2 Superstrings as Supertopological Models on Higher-Genus Super Riemann Surfaces : Particles and Fields
- Transition Amplitudes in Perturbation Theory and Dyson's Integral Representation
- Reggeization of Particles with Identical Quantum Numbers
- Operator Formalism of the Dual Resonance Model with Different Trajectories
- Continuation of S-Matrix into Second Riemann Sheet
- Electromagnetic Properties of the Kaluza-Klein String
- Barger and Cline's Rule and Bound States of Dirac Particle
- Higgs Scalar Fields and Discrete Symmetry
- Gauge Theory on Discrete Spaces without Recourse to Non-Commutative Geometry
- Derivatives of Baryon Trajectories at W=0
- Construction of the Jost Function Including Inelastic Processes
- Generalized Conformal Gauge Conditions in Dual Models
- A Detailed Investigation of Fermion Collective Motions
- Breakdown of the Associative Law for Current Operators in a Model in Two-Dimensional Space-Time
- A Quantitative Investigation on the "Compositeness" of a Particle
- Macroscopic Causality and Lower Limit for the Energy Derivative of the Scattering Phase Shift : Relativistic Case
- Left-Right Symmetric Model from Geometric Formulation of Gauge Theory in M^4 × Z^2 × Z^2