scholarly journals Importance of the Microscopic Wave Function in Envelope-Function Theory

1999 ◽  
Vol 82 (6) ◽  
pp. 1339-1339 ◽  
Author(s):  
Bradley A. Foreman
Keyword(s):  
Wave Function ◽  
Function Theory ◽  
Envelope Function

Coupled cluster energy derivatives. Analytic Hessian for the closed‐shell coupled cluster singles and doubles wave function: Theory and applications

1990 ◽  
Vol 92 (8) ◽  
pp. 4924-4940 ◽  
Author(s):  
Henrik Koch ◽  
Hans Jo/rgen Aa. Jensen ◽  
Poul Jo/rgensen ◽  
Trygve Helgaker ◽  
Gustavo E. Scuseria ◽  
...  
Keyword(s):  
Wave Function ◽  
Function Theory ◽  
Closed Shell ◽  
Coupled Cluster ◽  
Energy Derivatives ◽  
Cluster Energy

Exact envelope-function theory versus symmetrized Hamiltonian for quantum wires: a comparison

2004 ◽  
Vol 132 (3-4) ◽  
pp. 141-149 ◽  
Author(s):  
B. Lassen ◽  
L.C. Lew Yan Voon ◽  
M. Willatzen ◽  
R. Melnik
Keyword(s):  
Quantum Wires ◽  
Function Theory ◽  
Envelope Function ◽  
Theory Versus

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.

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