$\eta$-weak-Pseudo-Hermiticity generators and exact solvability

Abstract

Exact solvability of some non-Hermitian $\eta$-weak-pseudo-Hermitian Hamiltonians is explored as a byproduct of $\eta$-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 $\eta$-weak-pseudo-Hermiticity generator to obtain exactly solvable $\eta$-weak-pseudo-Hermitian Hamiltonian models.

8 pages, no figures, to appear in Phys. Lett. A

Cited by in corpus (8)

• Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
• A singular position-dependent mass particle in an infinite potential well
• (1+1)-Dirac particle with position-dependent mass in complexified Lorentz scalar interactions: effectively PT-symmetric
• Non-Hermitian von Roos Hamiltonian's $\eta$-weak-pseudo-Hermiticity, isospectrality and exact solvability
• First-order intertwining operators with position dependent mass and $\eta$- weak-psuedo-Hermiticity generators
• Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures
• Spherical-separablility of non-Hermitian Dirac Hamiltonians and pseudo-PT-symmetry
• Spherical-separablility of non-Hermitian Hamiltonians and pseudo-PT-symmetry