Erlangen Programme at Large 3.2 Ladder Operators in Hypercomplex Mechanics

Erlangen Programme at Large 3.2 Ladder Operators in Hypercomplex Mechanics

We revise the construction of creation/annihilation operators in quantum mechanics based on the representation theory of the Heisenberg and symplectic groups. Besides the standard harmonic oscillator (the elliptic case) we similarly treat the repulsive oscillator (hyperbolic case) and the free parti...

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Bibliographic Details
Main Author: V. V. Kisil
Format: Article
Language:English
Published: CTU Central Library 2011-01-01
Series:Acta Polytechnica
Subjects:
Heisenberg group
Kirillov’s method of orbits
geometric quantisation
quantum mechanics
classical mechanics
Planck constant
dual numbers
double numbers
hypercomplex
jet spaces
hyperbolic mechanics
interference
Fock-Segal-Bargmann representatio
Online Access:https://ojs.cvut.cz/ojs/index.php/ap/article/view/1402

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https://ojs.cvut.cz/ojs/index.php/ap/article/view/1402

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