SDiff(S2) and the orbit method

2020 ◽  
Vol 61 (1) ◽  
pp. 012301
Author(s):  
Robert Penna
Keyword(s):  
Orbit Method

scholarly journals Short-periodic-orbit method for excited chaotic eigenfunctions

2020 ◽  
Vol 102 (4) ◽  
Author(s):  
F. Revuelta ◽  
E. Vergini ◽  
R. M. Benito ◽  
F. Borondo
Keyword(s):  
Periodic Orbit ◽  
Orbit Method

scholarly journals SUPERORBITS

2016 ◽  
Vol 17 (5) ◽  
pp. 1065-1120 ◽  
Author(s):  
Alexander Alldridge ◽  
Joachim Hilgert ◽  
Tilmann Wurzbacher
Keyword(s):  
Heisenberg Group ◽  
Conceptual Framework ◽  
Existence Theorems ◽  
Regular Representation ◽  
Coadjoint Orbits ◽  
Orbit Method ◽  
Direct Integral ◽  
Lie Supergroups ◽  
General Existence

We study actions of Lie supergroups, in particular, the hitherto elusive notion of orbits through odd (or more general) points. Following categorical principles, we derive a conceptual framework for their treatment and therein prove general existence theorems for the isotropy (or stabiliser) supergroups and orbits through general points. In this setting, we show that the coadjoint orbits always admit a (relative) supersymplectic structure of Kirillov–Kostant–Souriau type. Applying a family version of Kirillov’s orbit method, we decompose the regular representation of an odd Abelian supergroup into an odd direct integral of characters and construct universal families of representations, parametrised by a supermanifold, for two different super variants of the Heisenberg group.

scholarly journals Nonlinear realizations, the orbit method and Kohnʼs theorem

2012 ◽  
Vol 711 (5) ◽  
pp. 439-441 ◽  
Author(s):  
K. Andrzejewski ◽  
J. Gonera ◽  
P. Kosiński
Keyword(s):  
Orbit Method ◽  
Nonlinear Realizations

A mean-field spin-orbit method applicable to correlated wavefunctions

1996 ◽  
Vol 251 (5-6) ◽  
pp. 365-371 ◽  
Author(s):  
Bernd A. Heß ◽  
Christel M. Marian ◽  
Ulf Wahlgren ◽  
Odd Gropen
Keyword(s):  
Mean Field ◽  
Orbit Method ◽  
Spin Orbit
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