Abstract
The states of the system of N harmonic oscillators with the fixed complete number of quanta are reduced to the irreducible representations of the group SU(2). In this decomposition the base which was introduced earlier is proved to be one with the greatest dimensionality. The operators and the discrete base of the representation of noncompact group SU(1,1) are constructed in the case of three harmonic oscillators. Finally, the Bargmann representation for the states constructed is discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
