6533b825fe1ef96bd12827a8
RESEARCH PRODUCT
Susy for non-Hermitian Hamiltonians, with a view to coherent states
Fabio Bagarellosubject
PhysicsQuantum Physics010308 nuclear & particles physicsPhysical systemFOS: Physical sciencesSupersymmetic quantum mechanics Ladder operators Non self-adjoint hamiltonian Gazeau-Klauder coherent states 81SxxSupersymmetryMathematical Physics (math-ph)Type (model theory)01 natural sciencesHermitian matrixsymbols.namesakeTheoretical physicsLadder operator0103 physical sciencessymbolsCoherent statesGeometry and TopologySupersymmetric quantum mechanics010306 general physicsHamiltonian (quantum mechanics)Quantum Physics (quant-ph)Settore MAT/07 - Fisica MatematicaMathematical Physicsdescription
We propose an extended version of supersymmetric quantum mechanics which can be useful if the Hamiltonian of the physical system under investigation is not Hermitian. The method is based on the use of two, in general different, superpotentials. Bi-coherent states of the Gazeau-Klauder type are constructed and their properties are analyzed. Some examples are also discussed, including an application to the Black-Scholes equation, one of the most important equations in Finance.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-07-03 |