Effective mass schrödinger equation for exactly solvable class of one-dimensional potentials

2006 ◽  
Vol 43 (1) ◽  
pp. 92-100 ◽  
Author(s):  
Metin Aktaş ◽  
Ramazan Sever
Keyword(s):  
Schrödinger Equation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
One Dimensional ◽  
Effective Mass Schrödinger Equation ◽  
Exactly Solvable ◽  
Solvable Class

Exactly solvable effective mass Schrödinger equation with coulomb-like potential

2010 ◽  
Vol 110 (15) ◽  
pp. 2880-2885 ◽  
Author(s):  
C. Pacheco-García ◽  
J. García-Ravelo ◽  
J. Morales ◽  
J. J. Peña
Keyword(s):  
Schrödinger Equation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
Effective Mass Schrödinger Equation ◽  
Exactly Solvable

scholarly journals A GENERAL SCHEME FOR THE EFFECTIVE-MASS SCHRÖDINGER EQUATION AND THE GENERATION OF THE ASSOCIATED POTENTIALS

2004 ◽  
Vol 19 (37) ◽  
pp. 2765-2775 ◽  
Author(s):  
B. BAGCHI ◽  
P. GORAIN ◽  
C. QUESNE ◽  
R. ROYCHOUDHURY
Keyword(s):  
Schrödinger Equation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
Bound States ◽  
General Scheme ◽  
Free Particle ◽  
Energy Operator ◽  
Unified Approach ◽  
One Dimensional ◽  
Effective Mass Schrödinger Equation

A systematic procedure to study one-dimensional Schrödinger equation with a position-dependent effective mass (PDEM) in the kinetic energy operator is explored. The conventional free-particle problem reveals a new and interesting situation in that, in the presence of a mass background, formation of bound states is signalled. We also discuss coordinate-transformed, constant-mass Schrödinger equation, its matching with the PDEM form and the consequent decoupling of the ambiguity parameters. This provides a unified approach to many exact results known in the literature, as well as to a lot of new ones.

scholarly journals SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES

2002 ◽  
Vol 17 (31) ◽  
pp. 2057-2066 ◽  
Author(s):  
BEŞİ GÖNÜL ◽  
BÜLENT GÖNÜL ◽  
DİLEK TUTCU ◽  
OKAN ÖZER
Keyword(s):  
Schrödinger Equation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
Hamiltonian Operator ◽  
One Dimensional ◽  
Exact Solvability ◽  
Exactly Solvable ◽  
The One ◽  
Dependent Mass ◽  
The Relationship

We discuss the relationship between exact solvability of the Schrödinger equation with a position-dependent mass and the ordering ambiguity in the Hamiltonian operator within the framework of supersymmetric quantum mechanics. The one-dimensional Schrödinger equation, derived from the general form of the effective mass Hamiltonian, is solved exactly for a system with exponentially changing mass in the presence of a potential with similar behaviour, and the corresponding supersymmetric partner Hamiltonians are related to the effective-mass Hamiltonians proposed in the literature.

A solution of the effective-mass Schrödinger equation in general isotropic and nonparabolic bands for the study of two-dimensional carrier gases

2005 ◽  
Vol 98 (3) ◽  
pp. 033717 ◽  
Author(s):  
F. M. Gómez-Campos ◽  
S. Rodríguez-Bolívar ◽  
J. A. López-Villanueva ◽  
J. A. Jiménez-Tejada ◽  
J. E. Carceller
Keyword(s):  
Schrödinger Equation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
Two Dimensional ◽  
Effective Mass Schrödinger Equation ◽  
Carrier Gases
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