Supercoherent states

Journal Article · Fri Feb 15 04:00:00 EST 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.1403· OSTI ID:5835752

Fatyga, B W; Kostelecky, V A ^[1]; Nieto, M M ^[2]; Truax, D R ^[3]

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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)

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.

• DOE Contract Number: AC02-84ER40125; W-7405-ENG-36
• OSTI ID: 5835752
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
ANGULAR MOMENTUM
ANNIHILATION
BASIC INTERACTIONS
BOSONS
EIGENSTATES
ELECTROMAGNETIC INTERACTIONS
FERMIONS
GROUP THEORY
HARMONIC OSCILLATOR MODELS
INTERACTIONS
MAGNETIC FIELDS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATHEMATICS
MONOPOLES
PARTICLE PROPERTIES
SPIN
SUPERSYMMETRY
SYMMETRY