Mapping of a classical transformation in Grassmann number space to a Fermi unitary operator
- 1 October 1989
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 40 (8) , 4237-4241
- https://doi.org/10.1103/physreva.40.4237
Abstract
The formalism of mapping a classical canonical transformation to quantum unitary operators for a boson system is generalized to fermion systems. In terms of the ‘‘integration within an ordered product’’ technique for fermion systems, the transition of a classical transformation in Grassmann number space to a quantum image is manifestly evaluated in the fermion coherent-state representation. The normally ordered unitary operators that generate the Bogolyubov-Valatin transformation and the SU(2) rotation are derived in this way.Keywords
This publication has 13 references indexed in Scilit:
- Mapping of classical canonical transformations to quantum unitary operatorsPhysical Review A, 1989
- Supersymmetry in the Jaynes-Cummings modelPhysics Letters A, 1989
- New applications of the coherent state in calculating the class operator of the rotation groupJournal of Physics A: General Physics, 1988
- Squeezing and frequency jump of a harmonic oscillatorPhysical Review A, 1988
- New approach for calculating the normally ordered form of squeeze operatorsPhysical Review D, 1987
- The Group Theoretical Structure of Fermion Many-Body Systems Arising from the Canonical Anticommutation Relation. I: Lie Algebras of Fermion Operators and Exact Generator Coordinate Representations of State VectorsProgress of Theoretical Physics, 1981
- Coherent States of Fermi Operators and the Path IntegralProgress of Theoretical Physics, 1978
- Canonical Transformations and Quantum MechanicsSIAM Journal on Applied Mathematics, 1973
- Comments on the theory of superconductivityIl Nuovo Cimento (1869-1876), 1958
- On a new method in the theory of superconductivityIl Nuovo Cimento (1869-1876), 1958