Average energy and quantum similarity of a time dependent quantum system subject to Pöschl–Teller potential

• Published in: Journal of mathematical chemistry Vol. 60; no. 2; pp. 1 - 21
• Main Authors: Carbó-Dorca, Ramon, Nath, Debraj
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 01.02.2022; Springer Nature B.V
• Subjects: Boundary conditions; Chemistry; Chemistry and Materials Science; Dependent variables; Diatomic molecules; Exact solutions; Math. Applications in Chemistry; Original Paper; Physical Chemistry; Quantum theory; Schrodinger equation; Similarity; Theoretical and Computational Chemistry; Time dependence; Time-dependent Schrödinger equation; Pöschl–Teller potential; Rovibrational energy; Quantum similarity index; Average energy

Exact solutions of time-dependent Schrödinger equation in presence of generalized Pöschl–Teller like potential plus oscillator potential are defined analytically with help of point transformation and separation of variables. The time-dependent average energy is expressed in terms of a dimensionless...