INTEGRAL EQUATIONS FOR ELLIPSOIDAL WAVE FUNCTIONS

1957 ◽  
Vol 8 (1) ◽  
pp. 223-235 ◽  
Author(s):  
F. M. ARSCOTT
Keyword(s):  
Integral Equations ◽  
Wave Functions

Integral equations and relations for Lamé functions and ellipsoidal wave functions

1968 ◽  
Vol 64 (1) ◽  
pp. 113-126 ◽  
Author(s):  
B. D. Sleeman
Keyword(s):  
Wave Function ◽  
Green’S Function ◽  
Integral Equations ◽  
Green's Function ◽  
Function Theory ◽  
Natural Generalization ◽  
Wave Functions ◽  
Linear Integral ◽  
First Time ◽  
Linear Integral Equations

AbstractNon-linear integral equations and relations, whose nuclei in all cases is the ‘potential’ Green's function, satisfied by Lamé polynomials and Lamé functions of the second kind are discussed. For these functions certain techniques of analysis are described and these find their natural generalization in ellipsoidal wave-function theory. Here similar integral equations are constructed for ellipsoidal wave functions of the first and third kinds, the nucleus in each case now being the ‘free space’ Green's function. The presence of ellipsoidal wave functions of the second kind is noted for the first time. Certain possible generalizations of the techniques and ideas involved in this paper are also discussed.

INTEGRAL EQUATIONS FOR PARABOLOIDAL WAVE FUNCTIONS (I)

1964 ◽  
Vol 15 (1) ◽  
pp. 309-315 ◽  
Author(s):  
KATHLEEN M. URWTN
Keyword(s):  
Integral Equations ◽  
Wave Functions

INTEGRAL EQUATIONS FOR THE PARABOLOIDAL WAVE FUNCTIONS (II)

1965 ◽  
Vol 16 (3) ◽  
pp. 257-262 ◽  
Author(s):  
KATHLEEN M. URWIN
Keyword(s):  
Integral Equations ◽  
Wave Functions

REDUCED MATRIX ELEMENTS AND REPRESENTATION OF WAVE FUNCTIONS

1970 ◽  
Vol 31 (C4) ◽  
pp. C4-43-C4-46
Author(s):  
F. R. INNES
Keyword(s):  
Wave Functions ◽  
Matrix Elements

Magnetotunneling spectroscopy imaging of electron wave functions in self-assembled InAs quantum dots

2001 ◽  
Vol 171 (12) ◽  
pp. 1365
Author(s):  
E.E. Vdovin ◽  
Yu.N. Khanin ◽  
Yu.V. Dubrovskii ◽  
A. Veretennikov ◽  
A. Levin ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Wave Functions ◽  
Electron Wave ◽  
Inas Quantum Dots ◽  
Self Assembled
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