Solvable potentials, non-linear algebras, and associated coherent states

Journal Article · Tue Dec 15 00:00:00 EST 1998 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.57097· OSTI ID:21202648

Cannata, F ^[1]; Junker, G; Trost, J ^[2]

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1. Dipartmento di Fisica and INFN, Via Irnerio 46, I-40126 Bologna (Italy)
2. Institut fuer Theoretische Physik, Universitaet Erlangen-Nuernberg, Staudtstr. 7, D-91058 Erlangen (Germany)

Using the Darboux method and its relation with supersymmetric quantum mechanics we construct all SUSY partners of the harmonic oscillator. With the help of the SUSY transformation we introduce ladder operators for these partner Hamiltonians and shown that they close a quadratic algebra. The associated coherent states are constructed and discussed in some detail.

• OSTI ID: 21202648
• Journal Information: AIP Conference Proceedings, Vol. 453, Issue 1; Conference: Conference on particles, fields and gravitation, Lodz (Poland), 15-19 Apr 1998; Other Information: DOI: 10.1063/1.57097; (c) 1998 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
ANNIHILATION OPERATORS
EIGENFUNCTIONS
EIGENSTATES
EIGENVALUES
HAMILTONIANS
HARMONIC OSCILLATORS
NONLINEAR PROBLEMS
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SUPERSYMMETRY
TRANSFORMATIONS