Dolya S. Quasi-exactly solvable Bose systems based on quadratic algebras

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0411U006899

Thesis Registration Form

0411U006899.pdf

Applicant for

Specialization

  • 01.04.02 - Теоретична фізика

28-10-2011

Specialized Academic Board

Д 64.175.02

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

Essay

The thesis is devoted to the research of the spectrum of Hamiltonians having matrix representations and admitting partial algebraization of the spectrum (socalled quasi-exactly solvable systems). The two-photon Rabi Hamiltonian that can be expressed in terms of corresponding quadratic algebra operators related to the hypergeometric function. It is proved that the two-photon Rabi Hamiltonian is quasi-exactly solvable on the basis of the two different quadratic algebras, at certain values of dipole interaction.

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Files

dis.doc

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