η-weak-pseudo-Hermiticity generators and exact solvability

2006/04/30 by Omar Mustafa, S. Habib Mazharimousavi · 1 citation
Mathematics · Physics and Astronomy · #Exact solutions in general relativity #Generator (circuit theory) #Hamiltonian (control theory) #Hermitian matrix #Mathematical physics #Mathematics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Weak interaction #quant-ph

paper · pdf · doi:10.1016/j.physleta.2006.06.027

published as Phys.Lett. A357 (2006) 295-297 · 8 pages, no figures, to appear in Phys. Lett. A

arxiv created 2006/06/13 · openalex publication_date 2006/06/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Exact solvability of some non-Hermitian η-weak-pseudo-Hermitian Hamiltonians is explored as a byproduct of η-weak-pseudo-Hermiticity generators. A class of V_eff(x)=V(x)+iW(x) potentials is considered, where the imaginary part W(x) is used as an η-weak-pseudo-Hermiticity generator to obtain exactly solvable η-weak-pseudo-Hermitian Hamiltonian models.

Citations

• A new class of non-Hermitian Hamiltonians with real spectra
• sl(2, ) as a complex Lie algebra and the associated non-Hermitian Hamiltonians with real eigenvalues
• Pseudo-hermitian interaction between an oscillator and a spin half particle in the external magnetic field
• PT-symmetric pseudo-perturbation recipe: an imaginary cubic oscillator with spikes
• Real Spectra in Non-Hermitian Hamiltonians HavingPTSymmetry
• Generation of Exactly Solvable Non-Hermitian Potentials with Real Energies
• Supersymmetry and Quantum Mechanics
• Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials

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