Physics – Quantum Physics
Scientific paper
2005-01-17
J.Phys. A38 (2005) 7313-7324
Physics
Quantum Physics
10 pages (v1); 18 pages, expanded version with several new results (v2); minor cosmetic changes, to appear in J. Phys. A: Math
Scientific paper
10.1088/0305-4470/38/33/007
It is shown that for a given Hermitian Hamiltonian possessing supersymmetry, there is alwayas a non-hermitian Jaynes-Cummings-type Hamiltonian(JCTH) admitting entirely real spectra. The parent supersymmetric Hamiltonian and the corresponding non-hermitian JCTH are simultaneously diagonalizable. The exact eigenstates of these non-hermitian Hamiltonians are constructed algebraically for certain shape-invariant potentials, including a non-hermitian version of the standard Jaynes-Cummings model for which the parent supersymmetric Hamiltonian is the superoscillator. The positive-definite metric operator in the Hilbert space is constructed explicitly along with the introduction of a new inner product structure, so that the eigenstates form a complete set of orthonormal vectors and the time-evolution is unitary.
No associations
LandOfFree
Exactly solvable non-Hermitian Jaynes-Cummings-type Hamiltonian admitting entirely real spectra from supersymmetry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exactly solvable non-Hermitian Jaynes-Cummings-type Hamiltonian admitting entirely real spectra from supersymmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exactly solvable non-Hermitian Jaynes-Cummings-type Hamiltonian admitting entirely real spectra from supersymmetry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-238429