Self-isospectral periodic potentials and supersymmetric quantum mechanics
- Physics Department, University of Connecticut, Storrs, Connecticut 06269 (United States)
- Institute for Theoretical Physics, University of California, Santa Barbara, California 93106 (United States)
We discuss supersymmetric quantum mechanical models with periodic potentials. The important new feature is that it is possible for {ital both} isospectral potentials to support zero modes, in contrast with the standard nonperiodic case where either one or neither (but not both) of the isospectral pair has a zero mode. Thus it is possible to have supersymmetry unbroken and yet also have a vanishing Witten index. We present some explicit exactly soluble examples for which the isospectral potentials have identical band spectra, and which are {open_quotes}self-isospectral{close_quotes} in the sense that the potentials have identical shape, but are translated by one half-period relative to one another. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 567103
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 2 Vol. 57; ISSN 0556-2821; ISSN PRVDAQ
- Country of Publication:
- United States
- Language:
- English
Similar Records
Supersymmetric Fokker-Planck strict isospectrality
Exotic supersymmetry of the kink-antikink crystal, and the infinite period limit
Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry
Journal Article
·
Fri Aug 01 00:00:00 EDT 1997
· Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
·
OSTI ID:528036
Exotic supersymmetry of the kink-antikink crystal, and the infinite period limit
Journal Article
·
Tue Mar 15 00:00:00 EDT 2011
· Physical Review. D, Particles Fields
·
OSTI ID:21537587
Self-isospectrality, mirror symmetry, and exotic nonlinear supersymmetry
Journal Article
·
Wed Sep 15 00:00:00 EDT 2010
· Physical Review. D, Particles Fields
·
OSTI ID:21421204