Q-deformed Morse and Oscillator potential
H Hassanabadi, W S Chung, S Zare, S B Bhardwaj
TL;DR
This paper explores q-deformed Morse and harmonic oscillator systems, providing analytical solutions for their eigenfunctions and energy levels, highlighting the sensitivity of wave functions to parameter changes.
Contribution
It introduces analytical solutions for q-deformed Morse and oscillator potentials, emphasizing parameter sensitivity in wave functions.
Findings
Analytical eigenfunctions and energy eigenvalues derived.
Wave functions are sensitive to parameter variations.
The study enhances understanding of q-deformed quantum systems.
Abstract
In the present work, we studied the q-deformed Morse and harmonic oscillator systems with appropriate canonical commutation algebra. The analytic solutions for eigenfunctions and energy eigenvalues are worked out using time-independent Schrodinger equation and It is also noted that these wave functions are sensitive to variation in the parameters involved.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems · Advanced Mathematical Theories and Applications