A N F Aleixo and A B Balantekin 2007 J. Phys. A: Math. Theor. 40 5105 doi:10.1088/1751-8113/40/19/011
Generalized Robertson intelligent states and squeezing for supersymmetric and shape-invariant systems: an algebraic construction
A N F Aleixo1 and A B Balantekin2
Show affiliationsWe obtain the Robertson–Schrödinger uncertainty relation for shape-invariant systems and construct generalized Robertson intelligent states for these systems using an algebraic approach based on the supersymmetric quantum mechanics. Using the variances of generalized quadrature operators we study the coherency and squeezing properties, evaluating their dependence on different kinds of generalizations for shape-invariant systems with potential parameters related by a translation (Pöschl–Teller potential) and by a scaling (self-similar potential).
- PACS
- MSC
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81Q60 Supersymmetric quantum mechanics
81R30 Coherent states (See also 22E45); squeezed states (See also 81V80)
- Subjects
- Dates
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Issue 19 (11 May 2007)
Received 20 December 2006, in final form 19 March 2007
Published 24 April 2007
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Generalized Robertson intelligent states and squeezing for supersymmetric and shape-invariant systems: an algebraic construction
A N F Aleixo and A B Balantekin 2007 J. Phys. A: Math. Theor. 40 5105
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