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

Abstract:

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 scale factor L of a quantum state with a time-dependent moving boundary condition. Moreover, quantum similarity measures and indices between two states are defined. Numerical values of rovibrational energy in presence and absence of centrifugal term, and average energy in absence of centrifugal term have been calculated for ten selected diatomic molecules: {H 2, LiH, HF, HCl, N 2, CO, SiO, O 2, F 2, NO}. In addition, the quantum similarity index between pairs of these selected molecules is calculated.

Año de publicación:

2022

Keywords:

• Average energy
• Time-dependent Schrödinger equation
• Quantum similarity index
• Rovibrational energy
• Pöschl–Teller potential

Fuente:

scopus