Perturbation theory for Green’s functions as an effective mass formalism

1977 ◽  
Vol 18 (12) ◽  
pp. 2414-2422
Author(s):  
F. Krause
Keyword(s):  
Perturbation Theory ◽  
Effective Mass ◽  
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.

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