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| related topics |
| {energy, state, states} |
| {operator, operators, space} |
| {equation, function, exp} |
| {field, particle, equation} |
| {cos, sin, state} |
| {theory, mechanics, state} |
| {state, states, entangled} |
| {wave, scattering, interference} |
| {trap, ion, state} |
|
Supersymmetry in quantum mechanics: An extended view
A. R. P. Rau
abstract: The concept of supersymmetry in a quantum mechanical system is extended,
permitting the recognition of many more supersymmetric systems, including very
familiar ones such as the free particle. Its spectrum is shown to be
supersymmetric, with space-time symmetries used for the explicit construction.
No fermionic or Grassmann variables need to be invoked. Our construction
extends supersymmetry to continuous spectra. Most notably, while the free
particle in one dimension has generally been regarded as having a doubly
degenerate continuum throughout, the construction clarifies taht there is a
single zero energy state at the base of the spectrum.
- oai_identifier:
- oai:arXiv.org:quant-ph/0401150
- categories:
- quant-ph hep-th
- comments:
- 4 pages, 4 figures
- doi:
- 10.1088/0305-4470/37/43/028
- arxiv_id:
- quant-ph/0401150
- journal_ref:
- J.Phys. A37 (2004) 10421
- created:
- 2004-01-23
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