Physics – Quantum Physics
Scientific paper
2006-09-12
Laser Physics 17 (2007) 424-437
Physics
Quantum Physics
14 pages, 3 figures, to appear in Laser Physics, minor typos corrected
Scientific paper
We provide a reviewlike introduction into the quantum mechanical formalism related to non-Hermitian Hamiltonian systems with real eigenvalues. Starting with the time-independent framework we explain how to determine an appropriate domain of a non-Hermitian Hamiltonian and pay particular attention to the role played by PT-symmetry and pseudo-Hermiticity. We discuss the time-evolution of such systems having in particular the question in mind of how to couple consistently an electric field to pseudo-Hermitian Hamiltonians. We illustrate the general formalism with three explicit examples: i) the generalized Swanson Hamiltonians, which constitute non-Hermitian extensions of anharmonic oscillators, ii) the spiked harmonic oscillator, which exhibits explicit supersymmetry and iii) the -x^4-potential, which serves as a toy model for the quantum field theoretical phi^4-theory.
Fring Andreas
Morisson Faria Carla Figueira de
No associations
LandOfFree
Non-Hermitian Hamiltonians with real eigenvalues coupled to electric fields: from the time-independent to the time dependent quantum mechanical formulation 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 Non-Hermitian Hamiltonians with real eigenvalues coupled to electric fields: from the time-independent to the time dependent quantum mechanical formulation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Hermitian Hamiltonians with real eigenvalues coupled to electric fields: from the time-independent to the time dependent quantum mechanical formulation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-691991