Unruh Radiation via WKB Method

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

Journal of Mathematical Physics ◽

10.1063/1.1705717 ◽

2004 ◽

Vol 45 (6) ◽

pp. 2420-2446 ◽

Cited By ~ 3

Author(s):

E. V. Aksenova ◽

V. P. Romanov ◽

A. Yu. Valkov

Keyword(s):

Correlation Function ◽

Liquid Crystals ◽

Wkb Method ◽

Cholesteric Liquid Crystals

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

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(74)90167-x ◽

1974 ◽

Vol 48 (2) ◽

pp. 400-422 ◽

Cited By ~ 8

Author(s):

G.Milton Wing

Keyword(s):

Wkb Method ◽

Invariant Imbedding

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Wave action on currents with vorticity

Journal of Fluid Mechanics ◽

10.1017/s0022112099004565 ◽

1999 ◽

Vol 386 ◽

pp. 329-344 ◽

Cited By ~ 13

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.

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The Complex WKB Method

Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations - Pseudo-Differential Operators ◽

10.1007/978-3-030-10819-9_7 ◽

2019 ◽

pp. 135-155

Author(s):

Johannes Sjöstrand

Keyword(s):

Wkb Method ◽

Complex Wkb Method

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Application of the WKB method to catenary-shaped slender structures

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2007.08.012 ◽

2008 ◽

Vol 48 (1-2) ◽

pp. 249-257 ◽

Cited By ~ 11

Author(s):

Ioannis K. Chatjigeorgiou

Keyword(s):

Wkb Method ◽

Slender Structures

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The WKB method and differential consequences of the Riccati equation

Mathematical Notes ◽

10.1134/s0001434611050294 ◽

2011 ◽

Vol 89 (5-6) ◽

pp. 885-892

Author(s):

N. L. Chuprikov

Keyword(s):

Riccati Equation ◽

Wkb Method

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On the Complex WKB Method for a Secondary Turning Point Problem

Tokyo Journal of Mathematics ◽

10.3836/tjm/1255958179 ◽

2001 ◽

Vol 24 (2) ◽

pp. 343-358 ◽

Cited By ~ 1

Author(s):

Minoru NAKANO

Keyword(s):

Turning Point ◽

Point Problem ◽

Wkb Method ◽

Complex Wkb Method

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The Multiple Scattering of Electrons and Positrons

Australian Journal of Physics ◽

10.1071/ph540217 ◽

1954 ◽

Vol 7 (2) ◽

pp. 217 ◽

Cited By ~ 3

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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