Supersymmetry and supercoherent states of a nonrelativistic free particle

Journal Article · Mon Sep 01 04:00:00 EDT 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532139· OSTI ID:538442

Samsonov, B F ^[1]

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1. Tomsk State University, 36 Lenin Avenue, 634050 Tomsk (Russia)

Coordinate atypical representation of the orthosymplectic superalgebra osp(2/2) in a Hilbert superspace of square integrable functions constructed in a special way is given. The quantum nonrelativistic free particle Hamiltonian is an element of this superalgebra which turns out to be a dynamical superalgebra for this system. The supercoherent states, defined by means of a supergroup displacement operator, are explicitly constructed. These are the coordinate representation of the known atypical abstract super group OSp(2/2) coherent states. We interpret obtained results from the classical mechanics viewpoint as a model of classical particle which is immovable in the even sector of the phase superspace and is in rectilinear movement (in the appropriate coordinate system) in its odd sector. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 538442
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 9 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ALGEBRA
HAMILTONIANS
HILBERT SPACE
O GROUPS
PHASE SPACE
QUANTUM MECHANICS
SUPERSYMMETRY