Published February 15, 1991
| Version v1
Journal article
Supercoherent states
- 1. Physics Department, Indiana University, Bloomington, Indiana 47405 (USA)
- 2. Theoretical Division, Los Alamos National Laboratory, University of California, Los Alamos, New Mexico 87545 (USA)
- 3. Chemistry Department, University of Calgary, Calgary, Alberta (Canada)
Description
A general approach is presented for constructing coherent states for supersymmetric systems. It uses Rogers's supermanifold formulation of supergroups to extend the group-theoretic method. Supercoherent states are explicitly obtained for the supersymmetric harmonic oscillator. They are shown to be eigenstates of the supersymmetric annihilation operator and to be minimum-uncertainty states. Two more-complex situations with extended physical supersymmetries are also considered: an electron moving in a constant magnetic field, and the electron-monopole system. The supercoherent states for these systems are found using super Baker-Campbell-Hausdorff relations and their interpretation is elucidated
Additional details
Publishing Information
- Journal Title
- Physical Review, D
- Journal Volume
- 43
- Journal Issue
- 4
- Series
- Phys. Rev., D.
- Journal Page Range
- 1403-1412
- ISSN
- 0556-2821
- CODEN
- PRVDA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 22061490
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ALGORITHMS; ANNIHILATION; BOSONS; EIGENSTATES; FERMIONS; GROUP THEORY; HARMONIC OSCILLATOR MODELS; MAGNETIC FIELDS; MONOPOLES; SPIN; SUPERSYMMETRY
- Descriptors DEC
- ANGULAR MOMENTUM; INTERACTIONS; MATHEMATICAL MODELS; MATHEMATICS; PARTICLE INTERACTIONS; PARTICLE PROPERTIES; SYMMETRY