Spin Number Coherent States and the Problem of Two Coupled Oscillators

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

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.

Original languageEnglish
Article number34
Pages (from-to)34-38
Number of pages5
JournalCommunications in Theoretical Physics
Volume64
Issue number1
DOIs
StatePublished - 1 Jul 2015

Keywords

  • Lie algebras
  • coherent states
  • coupled oscillators

Fingerprint

Dive into the research topics of 'Spin Number Coherent States and the Problem of Two Coupled Oscillators'. Together they form a unique fingerprint.

Cite this