Group Theory and the Harmonic Oscillator: The Work of Marcos Moshinsky

1992 ◽  
pp. 1-27
Author(s):  
Jorge Flores ◽  
Alejandro Frank ◽  
Thomas H. Seligman
Keyword(s):  
Group Theory ◽  
Harmonic Oscillator

Group theory and the harmonic oscillator: The work of Marcos Moshinsky

1992 ◽  
Author(s):  
J. Flores ◽  
A. Frank ◽  
T. H. Seligman
Keyword(s):  
Group Theory ◽  
Harmonic Oscillator

GROUP THEORY OF THE NUMBER-PHASE QUANTIZATION

1995 ◽  
Vol 09 (11n12) ◽  
pp. 685-692 ◽  
Author(s):  
V. BARONE ◽  
V. PENNA
Keyword(s):  
Group Theory ◽  
Harmonic Oscillator ◽  
Degrees Of Freedom ◽  
Relative Number ◽  
Standard Basis ◽  
Irreducible Representations ◽  
Damped Harmonic Oscillator ◽  
Phase Quantization

A formalism for the number-phase quantization, based on the doubting of the degrees of freedom, is studied from a group-theoretical viewpoint. The so-called relative number states are shown to be a standard basis of unitary irreducible representations of both SU(2) and SU(1, 1). The algebraic meaning of the relevant operators is elucidated and their eigenstates are constructed. As an example, the dynamics of the quantum-damped harmonic oscillator is worked out.

Group Theory

2009 ◽  
Author(s):  
Pierre Ramond
Keyword(s):  
Group Theory

Homological Group Theory

1979 ◽  
Author(s):  
C. T. C. Wall
Keyword(s):  
Group Theory
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