The Quantum SU(2, 2)-Harmonic Oscillator

Wojciech Mulak
Additional contact information
Wojciech Mulak: University of Wrocław, Institute of Theoretical Physics

A chapter in Quantization, Coherent States, and Complex Structures, 1995, pp 79-85 from Springer

Abstract: Abstract We consider the classical SU(2, 2)-harmonic oscillator, with phase space A(2, 2) = SU(2, 2)/S(U(2) × U(2)), and quantize it by the coherent state method. The quantum Hamiltonian is the Toeplitz operator corresponding to the square of the distance in the SU(2, 2)-invariant Kähler metric on the phase space. Its spectrum is computed, and found to depend on the choice of representation of SU(2, 2).

Date: 1995
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-1060-8_9

Ordering information: This item can be ordered from
http://www.springer.com/9781489910608

DOI: 10.1007/978-1-4899-1060-8_9

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().