Algebraic construction of the coherent states of the Morse potential based on supersymmetric quantum mechanics

1999 ◽  
Vol 60 (3) ◽  
pp. R1737-R1740 ◽  
Author(s):  
Mihály G. Benedict ◽  
Balázs Molnár
Keyword(s):  
Quantum Mechanics ◽  
Coherent States ◽  
Morse Potential ◽  
Supersymmetric Quantum Mechanics ◽  
Algebraic Construction

SUSY coherent states and enhanced canonical quantizations for Pauli model

2021 ◽  
pp. 2150105
Author(s):  
Jean Vignon Hounguevou ◽  
Daniel Sabi Takou ◽  
Gabriel Y. H. Avossevou
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Coherent States ◽  
Differential Operators ◽  
Canonical Quantization ◽  
Point Of View ◽  
Supersymmetric Quantum Mechanics ◽  
Geometric Properties

In this paper, we study coherent states for a quantum Pauli model through supersymmetric quantum mechanics (SUSYQM) method. From the point of view of canonical quantization, the construction of these coherent states is based on the very important differential operators in SUSYQM call factorization operators. The connection between classical and quantum theory is given by using the geometric properties of these states.

scholarly journals Susy for Non-Hermitian Hamiltonians, with a View to Coherent States

2020 ◽  
Vol 23 (3) ◽  
Author(s):  
F. Bagarello
Keyword(s):  
Quantum Mechanics ◽  
Physical System ◽  
Coherent States ◽  
Supersymmetric Quantum Mechanics ◽  
Extended Version ◽  
Black Scholes

Abstract 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.

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