Core‐valence separation in the spin‐coupled wave function: A fully variational treatment based on a second‐order constrained optimization procedure

1992 ◽  
Vol 97 (10) ◽  
pp. 7637-7655 ◽  
Author(s):  
Peter B. Karadakov ◽  
Joseph Gerratt ◽  
David L. Cooper ◽  
Mario Raimondi
Keyword(s):  
Wave Function ◽  
Constrained Optimization ◽  
Optimization Procedure ◽  
Second Order ◽  
Variational Treatment ◽  
Coupled Wave

Optimal Solutions for Nonhomogeneous Multiply-Connected Torsional Sections

1989 ◽  
Vol 111 (1) ◽  
pp. 87-93 ◽  
Author(s):  
A. Mioduchowski ◽  
M. G. Faulkner ◽  
B. Kim
Keyword(s):  
Numerical Simulation ◽  
Boundary Value Problem ◽  
Cross Section ◽  
Boundary Value ◽  
Optimization Procedure ◽  
Second Order ◽  
External Boundary ◽  
Optimal Solutions ◽  
Torsion Problem ◽  
Multiply Connected

Optimization of a second-order multiply-connected inhomogeneous boundary-value problem was considered in terms of elastic torsion. External boundary and material proportions are the applied constraints in finding optimal internal configurations of the cross section. The optimization procedure is based on the numerical simulation of the membrane analogy and the results obtained indicate that the procedure is usable as an engineering tool. Optimal solutions are obtained for some representative cases of the torsion problem and they are presented in the form of tables and figures.

Robust holography of the temporal wave function via second-order interference

2019 ◽  
Vol 100 (4) ◽  
Author(s):  
Yao-Kun Xu ◽  
Shi-Hai Sun ◽  
Wei-Tao Liu ◽  
Ji-Ying Liu ◽  
Ping-Xing Chen
Keyword(s):  
Wave Function ◽  
Second Order

QUANTIZATION OF SECOND-ORDER CONSTRAINED LAGRANGIAN SYSTEMS USING THE WKB APPROXIMATION

2005 ◽  
Vol 02 (03) ◽  
pp. 485-504 ◽  
Author(s):  
EQAB M. RABEI ◽  
EYAD H. HASSAN ◽  
HUMAM B. GHASSIB ◽  
S. MUSLIH
Keyword(s):  
Wave Function ◽  
General Theory ◽  
Semiclassical Limit ◽  
Second Order ◽  
Constrained Systems ◽  
Wkb Approximation ◽  
Lagrangian Systems

A general theory is given for quantizing both constrained and unconstrained systems with second-order Lagrangian, using the WKB approximation. In constrained systems, the constraints become conditions on the wave function to be satisfied in the semiclassical limit. This is illustrated with two examples.

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