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Quantization in the neighborhood of a classical solution in the theory of a Fermi field

Journal Article · · Theor. Math. Phys.; (United States)
DOI:https://doi.org/10.1007/BF01017487· OSTI ID:6167055

The quantization of a Fermi-Bose field system in the neighborhood of a classical solution of the equations of motion that contains both bosonic and spinor components is considered. The latter is regarded as an absolutely anticommuting (Grassmann) component of a fermion field. On account of the transport of the fermion number, such an object mixes the fermionic and bosonic and fermionic and antifermionic degrees of freedom already at the level of the single-particle states (in the approximately of quadratic forms). Explicit expressions are obtained for the operator of the S matrix, which describes such transport processes, and the total Hamiltonian and total fermion charge of the system in this approximation.

Research Organization:
Moscow State Univ. (USSR)
OSTI ID:
6167055
Journal Information:
Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 75:2; ISSN TMPHA
Country of Publication:
United States
Language:
English

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645203 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Weak Interactions & Properties
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOSON-FERMION SYMMETRY
BOSONS
CLASSICAL MECHANICS
CONSERVATION LAWS
DEGREES OF FREEDOM
DIFFERENTIAL EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
FERMI INTERACTIONS
FERMIONS
FIELD THEORIES
HEISENBERG PICTURE
INTERACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRICES
MECHANICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PHASE TRANSFORMATIONS
QUANTIZATION
QUANTUM OPERATORS
S MATRIX
SCALAR FIELDS
SPINOR FIELDS
SUPERSYMMETRY
SYMMETRY
TRANSPORT THEORY
WEAK INTERACTIONS