Coherent states for general potentials. IV. Three-dimensional systems

1980 ◽  
Vol 22 (2) ◽  
pp. 391-402 ◽  
Author(s):  
Michael Martin Nieto
Keyword(s):  
Coherent States ◽  
Three Dimensional

Two- and three-dimensional polarons with extended coherent states

1996 ◽  
Vol 53 (17) ◽  
pp. 11296-11299 ◽  
Author(s):  
Chen Qinghu ◽  
Fang Minghu ◽  
Zhang Qirui ◽  
Wang Kelin ◽  
Wan Shaolong
Keyword(s):  
Coherent States ◽  
Three Dimensional

scholarly journals ON RELATION BETWEEN GEOMETRIC MOMENTUM AND ANNIHILATION OPERATORS ON A TWO-DIMENSIONAL SPHERE

2013 ◽  
Vol 10 (06) ◽  
pp. 1320007 ◽  
Author(s):  
Q. H. LIU ◽  
Y. SHEN ◽  
D. M. XUN ◽  
X. WANG
Keyword(s):  
Angular Momentum ◽  
Coherent States ◽  
Three Dimensional ◽  
Extrinsic Curvature ◽  
Flat Space ◽  
Dimensional Sphere ◽  
Two Dimensional ◽  
Intrinsic Geometry

With a recently introduced geometric momentum that depends on the extrinsic curvature and offers a proper description of momentum on two-dimensional sphere, we show that the annihilation operators whose eigenstates are coherent states on the sphere take the expected form αx + iβp, where α and β are two operators that depend on the angular momentum and x and p are the position and the geometric momentum, respectively. Since the geometric momentum is manifestly a consequence of embedding the two-dimensional sphere in the three-dimensional flat space, the coherent states reflects some aspects beyond the intrinsic geometry of the surfaces.

Coherent states on horospheric three-dimensional Lobachevsky space

2016 ◽  
Vol 57 (8) ◽  
pp. 082111 ◽  
Author(s):  
Yu. Kurochkin ◽  
I. Rybak ◽  
Dz. Shoukavy
Keyword(s):  
Coherent States ◽  
Three Dimensional ◽  
Lobachevsky Space

Exact coherent structures in channel flow

2001 ◽  
Vol 435 ◽  
pp. 93-102 ◽  
Author(s):  
FABIAN WALEFFE
Keyword(s):  
Turbulent Flows ◽  
Coherent Structures ◽  
Coherent States ◽  
Travelling Waves ◽  
Three Dimensional ◽  
Wall Region ◽  
Slip Boundary ◽  
Distinct Structure ◽  
Turbulent Reynolds Number ◽  
Low Speed Streaks

Exact coherent states in no-slip plane Poiseuille flow are calculated by homotopy from free-slip to no-slip boundary conditions. These coherent states are unstable travelling waves. They consist of wavy low-speed streaks flanked by staggered streamwise vortices closely resembling the asymmetric coherent structures observed in the near-wall region of turbulent flows. The travelling waves arise from a saddle-node bifurcation at a sub-turbulent Reynolds number with wall-normal, spanwise and streamwise dimensions smaller than but comparable to 50+, 100+ and 250+, respectively. These coherent solutions come in pairs with distinct structure and instabilities. There is a three-dimensional continuum of such exact coherent states.

scholarly journals QUANTUM THEORY OF SPONTANEOUS SCATTERING OF LIGHT AND COHERENT STATES OF THREE-DIMENSIONAL LORENTZ GROUP

2017 ◽  
Vol 17 (2) ◽  
pp. 171-178
Author(s):  
A.V. Gorokhov ◽  
D.I. Umov
Keyword(s):  
Quantum Theory ◽  
Lorentz Group ◽  
Coherent States ◽  
Nonlinear Optical ◽  
Three Dimensional ◽  
Scattering Of Light ◽  
Optical Effects ◽  
Nonlinear Optical Effects ◽  
Parametric Down Conversion ◽  
Down Conversion

The work is devoted to applications of group-theoretic coherent states todescribe the nonlinear optical effects. Important in modern quantum informationprocess of parametric down conversion is studied. It is shown that the useof superpositions of coherent states of SU(1; 1) allows to increase the squeezingof generated photon pairs.

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