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

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

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 Analytical Solution of the Schrödinger Equation with Spatially Varying Effective Mass for Generalised Hylleraas Potential

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Sanjib Meyur ◽  
Smarajit Maji ◽  
S. Debnath
Keyword(s):  
Schrödinger Equation ◽  
Effective Mass ◽  
Schrodinger Equation ◽  
Hypergeometric Functions ◽  
State Energy ◽  
Bound State ◽  
Exact Bound ◽  
Effective Mass Schrödinger Equation ◽  
Spatially Varying ◽  
Special Case

We have obtained exact solution of the effective mass Schrödinger equation for the generalised Hylleraas potential. The exact bound state energy eigenvalues and corresponding eigenfunctions are presented. The bound state eigenfunctions are obtained in terms of the hypergeometric functions. Results are also given for the special case of potential parameter.

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