Solutions of two-mode bosonic and transformed Hamiltonians

Ocak S. B., YEŞİLTAŞ Ö., Demircioglu B.

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, vol.47, no.7, pp.1865-1876, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 7
  • Publication Date: 2008
  • Doi Number: 10.1007/s10773-007-9631-8
  • Journal Name: INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1865-1876
  • Keywords: squeezed, QHJ-formalism, boson, EXACTLY SOLVABLE POTENTIALS, SQUEEZED-STATE APPROACH, SCHRODINGER-EQUATION, QUANTUM, EIGENVALUES, SYMMETRY, MODELS
  • Ankara University Affiliated: Yes

Abstract

We have constructed the quasi-exactly-solvable two-mode bosonic realization of SU(2). Two-mode boson Hamiltonian is defined through a differential equation which is solved by quantum Hamilton-Jacobi formalism. The squeezed states of two-mode boson systems are characterized through canonical transformation. The illustrated concept of squeezed boson systems has been applied two-mode bosonic Hamiltonian which is a squeezed one and is determined through a differential equation. This differential equation is solved and energy eigenvalues are found approximately.