SYMPLECTIC AND KÄHLER COHERENT STATE REPRESENTATIONS OF UNIMODULAR LIE GROUPS

1993 ◽  
Author(s):  
WOJCIECH LISIECKI
Keyword(s):  
Coherent State ◽  
Lie Groups

BOSON AND ROTOR EXPANSIONS OF LIE ALGEBRAS IN VECTOR COHERENT STATE THEORY

1993 ◽  
Vol 02 (supp01) ◽  
pp. 119-135
Author(s):  
D.J. ROWE
Keyword(s):  
Coherent State ◽  
Lie Groups ◽  
Lie Algebras ◽  
Degrees Of Freedom ◽  
Microscopic Theory ◽  
State Theory ◽  
Irreducible Representations ◽  
Nucleon Spin ◽  
Induced Representations

A brief overview is given of some of the ways VCS theory can be used to generate boson and rotor expansions of Lie groups. It is demonstrated by examples that such representations are a powerful aid in computing the explicit matrices of the irreducible representations needed in the application of Lie groups and Lie algebras in physics. It is shown that VCS theory is a theory of induced representations and that it has some advantages over other inducing constructions. Boson and rotor expansions are applied to the microscopic theory of nuclear rotations and it is shown that, in addition to providing algorithms for the calculation of the representation matrices needed, these expansions also provide new perspectives on the theory which enable it to be extended to include intrinsic nucleon spin degrees of freedom and the adiabatic mixing of representations.

Improvement of Quasi-Optimum Quantum Receiver for 3-PSK Coherent-State Signals

2009 ◽  
Vol 129 (12) ◽  
pp. 2159-2160
Author(s):  
Asami Imaeda ◽  
Masahiro Yoshikawa ◽  
Tsuyoshi Sasaki
Keyword(s):  
Coherent State
Sign in / Sign up

Export Citation Format

Share Document