The generating integral and the canonical maslov operator in the WKB method

1969 ◽  
Vol 3 (3) ◽  
pp. 181-193 ◽  
Author(s):  
V. S. Buslaev
Keyword(s):  
Wkb Method ◽  
Canonical Maslov Operator ◽  
Maslov Operator

Canonical Maslov operator on Lagrangian manifolds with Hilbert model

1990 ◽  
Vol 48 (6) ◽  
pp. 1206-1213 ◽  
Author(s):  
A. Yu. Daletskii
Keyword(s):  
Canonical Maslov Operator ◽  
Lagrangian Manifolds ◽  
Maslov Operator

Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space

1980 ◽  
Vol 13 (1) ◽  
pp. 1-23
Author(s):  
A. S. Mishchenko ◽  
B. Yu. Sternin ◽  
V. E. Shatalov
Keyword(s):  
Phase Space ◽  
Complex Phase ◽  
Canonical Maslov Operator ◽  
Lagrangian Manifolds ◽  
Maslov Operator

Calculation of correlation function of the director fluctuations in cholesteric liquid crystals by WKB method

2004 ◽  
Vol 45 (6) ◽  
pp. 2420-2446 ◽  
Author(s):  
E. V. Aksenova ◽  
V. P. Romanov ◽  
A. Yu. Valkov
Keyword(s):  
Correlation Function ◽  
Liquid Crystals ◽  
Wkb Method ◽  
Cholesteric Liquid Crystals

scholarly journals Invariant imbedding and generalizations of the WKB method and the Bremmer series

1974 ◽  
Vol 48 (2) ◽  
pp. 400-422 ◽  
Author(s):  
G.Milton Wing
Keyword(s):  
Wkb Method ◽  
Invariant Imbedding

Wave action on currents with vorticity

1999 ◽  
Vol 386 ◽  
pp. 329-344 ◽  
Author(s):  
BENJAMIN S. WHITE
Keyword(s):  
Phase Shift ◽  
Deep Water ◽  
Current Velocity ◽  
Wave Action ◽  
Ray Theory ◽  
Wkb Method ◽  
Interaction Of Waves ◽  
New Equation ◽  
Spatially Varying

The interaction of waves on deep water with spatially varying currents may be described by a ray theory, with the wave amplitudes determined by the principle of conservation of wave action (CWA). However, all previous deep water derivations of CWA are restricted to the case of an irrotational current. In this paper, both the ray theory and CWA are derived by a WKB method without the assumption of irrotationality. Also derived is a new equation for a spatially varying phase shift which is not predicted by the usual ray theory, and which, in general, displaces the positions of the wave crests by a distance on the order of a wavelength. This phase shift, which is caused by variations of the current velocity with depth, vanishes in the irrotational case, and so is in accord with the irrotational theory.

scholarly journals Application of the WKB method to catenary-shaped slender structures

2008 ◽  
Vol 48 (1-2) ◽  
pp. 249-257 ◽  
Author(s):  
Ioannis K. Chatjigeorgiou
Keyword(s):  
Wkb Method ◽  
Slender Structures

The WKB method and differential consequences of the Riccati equation

2011 ◽  
Vol 89 (5-6) ◽  
pp. 885-892
Author(s):  
N. L. Chuprikov
Keyword(s):  
Riccati Equation ◽  
Wkb Method

scholarly journals On the Complex WKB Method for a Secondary Turning Point Problem

2001 ◽  
Vol 24 (2) ◽  
pp. 343-358 ◽  
Author(s):  
Minoru NAKANO
Keyword(s):  
Turning Point ◽  
Point Problem ◽  
Wkb Method ◽  
Complex Wkb Method

scholarly journals The Multiple Scattering of Electrons and Positrons

1954 ◽  
Vol 7 (2) ◽  
pp. 217 ◽  
Author(s):  
CBO Mohr ◽  
LJ Tassie
Keyword(s):  
Angular Distribution ◽  
Multiple Scattering ◽  
Born Approximation ◽  
Single Scattering ◽  
Mean Square ◽  
Wkb Method ◽  
Electrons And Positrons

The angular distribution of the single scattering of 33, 121, and 1065 keV electrons at small angles in gold is calculated and compared with the distributions given by the Born approximation and by the WKB method as used by Moli�re. The single scattering distribution for 1065 keV electrons is integrated numerically to give mean square angles of multiple scattering, and these are compared with the values given by the various multiple scattering theories.

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