Supersymmetric quantum mechanics and large-N expansions

Supersymmetric quantum mechanics is formulated for spherically symmetric potentials in N spatial dimensions. It is seen that the supersymmetric partner potential of a given potential can be effectively treated as being in N+2 dimensions. This fact is exploited in calculations using the shifted 1/N e...

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Veröffentlicht in:	Phys. Rev. Lett.; (United States) 1985-05, Vol.54 (20), p.2184-2187
Hauptverfasser:	IMBO, T. D, SUKHATME, U. P
Format:	Artikel
Sprache:	eng
Schlagworte:	645301 - High Energy Physics- Particle Invariance Principles & Symmetries- General- (-1987) 657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Classical and quantum physics: mechanics and fields COULOMB FIELD DIFFERENTIAL EQUATIONS EIGENSTATES ELECTRIC FIELDS ENERGY LEVELS EQUATIONS Exact sciences and technology FUNCTIONS MECHANICS PARTIAL DIFFERENTIAL EQUATIONS Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS POTENTIALS QUANTUM MECHANICS QUANTUM NUMBERS QUARKONIUM SCHROEDINGER EQUATION SUPERSYMMETRY SYMMETRY WAVE EQUATIONS WAVE FUNCTIONS WKB APPROXIMATION
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Beschreibung
Zusammenfassung:	Supersymmetric quantum mechanics is formulated for spherically symmetric potentials in N spatial dimensions. It is seen that the supersymmetric partner potential of a given potential can be effectively treated as being in N+2 dimensions. This fact is exploited in calculations using the shifted 1/N expansion. Also, the violation of the no-degeneracy theorem in one dimension by the Coulomb potential is seen as a consequence of this result.
ISSN:	0031-9007 1079-7114
DOI:	10.1103/PhysRevLett.54.2184