On the construction of coherent states of position dependent mass Schroedinger equation endowed with effective potential

Journal Article · Sat May 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3374667· OSTI ID:21335953

Chithiika Ruby, V; Senthilvelan, M ^[1]

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1. Centre for Nonlinear Dynamics, School of Physics, Bharathidasan University, Tiruchirapalli 620 024 (India)

In this paper, we propose an algorithm to construct coherent states for an exactly solvable position dependent mass Schroedinger equation. We use point canonical transformation method and obtain ground state eigenfunction of the position dependent mass Schroedinger equation. We fix the ladder operators in the deformed form and obtain explicit expression of the deformed superpotential in terms of mass distribution and its derivative. We also prove that these deformed operators lead to minimum uncertainty relations. Further, we illustrate our algorithm with two examples, in which the coherent states given for the second example are new.

• OSTI ID: 21335953
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 5; Other Information: DOI: 10.1063/1.3374667; (c) 2010 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGORITHMS
ANNIHILATION OPERATORS
CANONICAL TRANSFORMATIONS
EIGENFUNCTIONS
EIGENSTATES
EIGENVALUES
EXACT SOLUTIONS
GROUND STATES
MASS
MASS DISTRIBUTION
POTENTIALS
QUANTUM MECHANICS
SCHROEDINGER EQUATION