On approximate methods in the inverse problem of the quantum theory of scattering

1963 ◽  
pp. 271-282 ◽  
Author(s):  
V. K. Mel′nikov
Keyword(s):  
Inverse Problem ◽  
Quantum Theory ◽  
Approximate Methods

The Inverse Problem in the Quantum Theory of Scattering

1963 ◽  
Vol 4 (1) ◽  
pp. 72-104 ◽  
Author(s):  
L. D. Faddeyev ◽  
B. Seckler
Keyword(s):  
Inverse Problem ◽  
Quantum Theory

Remarks on approximate methods in geophysical inverse problems

1974 ◽  
Vol 337 (1608) ◽  
pp. 49-71 ◽  
Keyword(s):  
Inverse Problem ◽  
Integral Equation ◽  
Inverse Problems ◽  
Linear Method ◽  
Dirichlet Kernel ◽  
Nonlinear Inverse Problem ◽  
Approximate Methods ◽  
Physical Constraints ◽  
Exactly Solvable ◽  
Approximate Expressions

Several remarks are made on well-known methods used in geophysics to analyse inverse problems. Approximate values are given for Backus and Gilbert kernels, together with an integral equation which enables one to derive then from a Dirichlet kernel. Ways to obtain approximate expressions of the Dirichlet kernels are then studied. Consequences of linearizing a nonlinear inverse problem are analysed both in general and with an exactly solvable example. This example shows situations in which the information derived by way of the linear method is irrelevant or misleading. Some simple remarks on the inference of physical constraints conclude the paper.

Capabilities of Approximate Methods in Quantum Theory

2014 ◽  
pp. 1-25
Author(s):  
Ilya Feranchuk ◽  
Alexey Ivanov ◽  
Van-Hoang Le ◽  
Alexander Ulyanenkov
Keyword(s):  
Quantum Theory ◽  
Approximate Methods

Quantum theory of light in nonlinear media with dispersion and absorption

1998 ◽  
Vol 45 (2) ◽  
pp. 377-402 ◽  
Author(s):  
EDUARD SCHMIDT , JOHN JEFFERS , STEPHEN M.
Keyword(s):  
Quantum Theory ◽  
Nonlinear Media
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