Quantum Mechanics and Polynomials of a Discrete Variable

Quantum Mechanics and Polynomials of a Discrete Variable

The recursive Lanczos method for solving the Schrödinger equation is applied to systems with dynamical symmetries and given a group theoretical formulation. An algebraic interpretation of various classical orthogonal polynomials of a discrete variable is obtained in this quantum mechanical context.

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Bibliographische Detailangaben
Veröffentlicht in:Annals of physics 1993-09, Vol.226 (2), p.331-349
Hauptverfasser: Floreanini, R., Letourneux, J., Vinet, L.
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic methods
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
Solutions of wave equations: bound states
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Beschreibung
Zusammenfassung:The recursive Lanczos method for solving the Schrödinger equation is applied to systems with dynamical symmetries and given a group theoretical formulation. An algebraic interpretation of various classical orthogonal polynomials of a discrete variable is obtained in this quantum mechanical context.
ISSN:0003-4916
1096-035X
DOI:10.1006/aphy.1993.1072