Spin Number Coherent States and the Problem of Two Coupled Oscillators*

Autor:	R. D. Mota, D. Ojeda-Guillén, V. D. Granados
Rok vydání:	2015
Předmět:	Physics Partition function (statistical mechanics) Physics and Astronomy (miscellaneous) Irreducible representation Quantum mechanics Coherent states in mathematical physics Lie algebra Coherent states Displacement operator Unitary state Eigenvalues and eigenvectors Mathematical physics
Zdroj:	Communications in Theoretical Physics. 64:34-38
ISSN:	1572-9494 0253-6102
DOI:	10.1088/0253-6102/64/1/34
Popis:	From the definition of the standard Perelomov coherent states we introduce the Perelomov number coherent states for any su(2) Lie algebra. With the displacement operator we apply a similarity transformation to the su(2) generators and construct a new set of operators which also close the su(2) Lie algebra, being the Perelomov number coherent states the new basis for its unitary irreducible representation. We apply our results to obtain the energy spectrum, the eigenstates and the partition function of two coupled oscillators. We show that the eigenstates of two coupled oscillators are the SU(2) Perelomov number coherent states of the two-dimensional harmonic oscillator with an appropriate choice of the coherent state parameters.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::698c2efc1f631867030f79f9e328abb0 https://doi.org/10.1088/0253-6102/64/1/34 Zobrazit plný text záznamu