COHERENT STATE OF THE EFFECTIVE MASS HARMONIC OSCILLATOR

2009/02/27 by Atreyee Biswas, Barnana Roy
Computer Science · Mathematics · Physics and Astronomy · #Coherent states #Effective mass (spring–mass system) #Function (biology) #Harmonic #Harmonic oscillator #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #State (computer science) #Wigner distribution function #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1142/s0217732309028977

published as Mod. Phys. Lett. A 24 (2009) 1343-1353 · 18 Pages, 5 Figures. To be published in Mod. Phys. Lett. A

arxiv created 2009/02/27 · openalex publication_date 2009/06/07 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct coherent state of the effective mass harmonic oscillator and examine some of its properties. In particular closed form expressions of coherent states for different choices of the mass function are obtained and it is shown that such states are not in general x - p uncertainty states. We also compute the associated Wigner functions.

Citations

• Shape-invariant quantum Hamiltonian with position-dependent effective mass through second-order supersymmetry
• Coherent states for the hydrogen atom
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• Temporally stable coherent states in energy-degenerate systems: The hydrogen atom
• Coherent states à la Klauder–Perelomov for the Pöschl–Teller potentials
• SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES
• EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS
• First-order intertwining operators and position-dependent mass Schrödinger equations in d dimensions