Calculation of the spin-dependent effective mass of the conduction electron by Green's functions

1966 ◽  
Vol 16 (11) ◽  
pp. 869-883 ◽  
Author(s):  
J. Mathon
Keyword(s):  
Effective Mass ◽  
Conduction Electron ◽  
Green's Functions ◽  
Green’S Functions

TRACE FORMULA FOR GREEN'S FUNCTIONS OF EFFECTIVE MASS SCHRÖDINGER EQUATIONS AND NTH-ORDER DARBOUX TRANSFORMATIONS

2008 ◽  
Vol 23 (16n17) ◽  
pp. 2635-2647 ◽  
Author(s):  
EKATERINA POZDEEVA ◽  
AXEL SCHULZE-HALBERG
Keyword(s):  
Effective Mass ◽  
Trace Formula ◽  
Green's Functions ◽  
Arbitrary Order ◽  
Finite Interval ◽  
Green’S Functions ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Darboux Transformations ◽  
Mass Case

We derive a trace formula for Green's functions of position-dependent (effective) mass Schrödinger equations that are defined on a real, finite interval and connected by a Darboux transformation of arbitrary order. Our findings generalize former results (J. Phys. A37, 10287 (2004)) on constant mass Schrödinger equations to the effective mass case.

Temperature field evaluation of a two-dimensional partial heat flow problem through Green's Functions

2019 ◽  
Author(s):  
Guilherme Ramalho Costa ◽  
José Aguiar santos junior ◽  
José Ricardo Ferreira Oliveira ◽  
Jefferson Gomes do Nascimento ◽  
Gilmar Guimaraes
Keyword(s):  
Temperature Field ◽  
Heat Flow ◽  
Green's Functions ◽  
Flow Problem ◽  
Green’S Functions ◽  
Field Evaluation ◽  
Two Dimensional
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