|
| related topics |
| {equation, function, exp} |
| {group, space, representation} |
| {cos, sin, state} |
| {operator, operators, space} |
| {phase, path, phys} |
|
Operator Transformations Between Exactly Solvable Potentials and Their
Lie Group Generators
Andrew J. Bordner
abstract: One may obtain, using operator transformations, algebraic relations between
the Fourier transforms of the causal propagators of different exactly solvable
potentials. These relations are derived for the shape invariant potentials.
Also, potentials related by real transformation functions are shown to have the
same spectrum generating algebra with Hermitian generators related by this
operator transformation.
- oai_identifier:
- oai:arXiv.org:quant-ph/9609019
- categories:
- quant-ph
- comments:
- 13 pages with one Postscript figure, uses LaTeX2e with revtex
- doi:
- 10.1088/0305-4470/30/11/020
- arxiv_id:
- quant-ph/9609019
- journal_ref:
- J.Phys.A30:3927,1997
- report_no:
- KUNS-1410, HE(TH) 96/11
- created:
- 1996-09-26
- updated:
- 1996-09-27
Full article ▸
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