Solutions of One-Dimensional Effective Mass Schrödinger Equation for PT-Symmetric Scarf Potential

• Authors: A. Zhang , P. Shi , Y. Ling , Z. Hua
• Languages of publication: EN

Abstracts

EN

The one-dimensional effective mass Schrödinger equation for PT-symmetric Scarf potential is investigated. The analytical expressions of energy eigenvalue and corresponding wave function are presented. They are accomplished by using an appropriate coordinate transformation to map the transformed exactly solvable one-dimensional Schrödinger equation with constant mass into the position-dependent mass equation. In the computation, three different forms of mass distributions are considered.

Keywords

EN

03.65.Fd; 03.65.Ge; 03.65.-w

Discipline

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 03.65.Fd: Algebraic methods(see also 02.20.-a Group theory)
• 03.65.Ge: Solutions of wave equations: bound states

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2011
• Volume: 120
• Issue: 6
• Pages: 987-991

Dates

published

2011-12

received

2011-03-22

(unknown)

2011-08-03

Contributors

author

A. Zhang

• Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, People’s Republic of China

author

P. Shi

• Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, People’s Republic of China

author

Y. Ling

• Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, People’s Republic of China

author

Z. Hua

• Faculty of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, People’s Republic of China

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Identifiers

DOI

10.12693/APhysPolA.120.987