scholarly journals New System-Specific Coherent States by Supersymmetric Quantum Mechanics for Bound State Calculations

10.5772/54010 ◽  
2013 ◽  
Author(s):  
Chia-Chun Chou ◽  
Mason T. ◽  
Bernhard G. ◽  
Donald J.
Keyword(s):  
Quantum Mechanics ◽  
Coherent States ◽  
Bound State ◽  
Supersymmetric Quantum Mechanics ◽  
New System

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.

Bound-state spectra for supersymmetric quantum mechanics

2004 ◽  
Vol 326 (5-6) ◽  
pp. 315-321 ◽  
Author(s):  
Ying He ◽  
Zhuangqi Cao ◽  
Qishun Shen
Keyword(s):  
Quantum Mechanics ◽  
Bound State ◽  
Supersymmetric Quantum Mechanics

New system-specific coherent states for bound state calculations

2012 ◽  
Vol 45 (50) ◽  
pp. 505302 ◽  
Author(s):  
Chia-Chun Chou ◽  
Mason T Biamonte ◽  
Bernhard G Bodmann ◽  
Donald J Kouri
Keyword(s):  
Coherent States ◽  
Bound State ◽  
New System

Exactness of semiclassical bound state energies for supersymmetric quantum mechanics

1985 ◽  
Vol 150 (1-3) ◽  
pp. 159-162 ◽  
Author(s):  
Alain Comtet ◽  
AndréD. Bandrauk ◽  
David K. Campbell
Keyword(s):  
Quantum Mechanics ◽  
Bound State ◽  
Supersymmetric Quantum Mechanics

IMPROVED SUSY INSPIRED VARIATIONAL METHOD TO OBTAIN BOUND STATE ENERGIES OF THE SCREENED COULOMB POTENTIAL

2003 ◽  
Vol 18 (12) ◽  
pp. 853-857
Author(s):  
SUBIR K. BOSE ◽  
AXEL SCHULZE-HALBERG
Keyword(s):  
Quantum Mechanics ◽  
Variational Method ◽  
Coulomb Potential ◽  
Trial Function ◽  
Bound State ◽  
Supersymmetric Quantum Mechanics ◽  
Screened Coulomb Potential

We improve a result obtained in Ref. 2: In the context of supersymmetric quantum mechanics we present a certain superpotential that yields a trial function we use for the calculation of variational quantum bound state energies of the screened Coulomb potential. We show that for small screening parameters our trial function yields better approximations for the energies than the trial function used in Ref. 2.

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