110 citations · 705 across the 38 of their papers we have counts for
8 papers · 1 filter
A generalized non-Hermitian oscillator Hamiltonian, N-fold supersymmetry and position-dependent mass models
Bijan Bagchi, Toshiaki Tanaka
A generalized non-Hermitian oscillator Hamiltonian is proposed that consists of additional linear terms which break PT-symmetry explicitly. The model is put into an equivalent Herm…
Nonlinear Pseudo-Supersymmetry in the Framework of N-fold Supersymmetry
Artemio Gonzalez-Lopez, Toshiaki Tanaka
We recall the importance of recognizing the different mathematical nature of various concepts relating to PT-symmetric quantum theories. After clarifying the relation between super…
On Existence of a Biorthonormal Basis Composed of Eigenvectors of Non-Hermitian Operators
Toshiaki Tanaka
We present a set of necessary conditions for the existence of a biorthonormal basis composed of eigenvectors of non-Hermitian operators. As an illustration, we examine these condit…
N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
Toshiaki Tanaka
We formulate the framework of N-fold supersymmetry in one-body quantum mechanical systems with position-dependent mass (PDM). We show that some of the significant properties in the…
On Disagreement about Nonperturbative Corrections in Triple-well Potential
Masatoshi Sato, Toshiaki Tanaka
We examine in detail nonperturbative corrections for low lying energies of a symmetric triple-well potential with non-equivalent vacua, for which there have been disagreement about…
N-fold Supersymmetry in Quantum Mechanics - General Formalism -
Hideaki Aoyama, Masatoshi Sato, Toshiaki Tanaka
We report general properties of N-fold supersymmetry in one-dimensional quantum mechanics. N-fold supersymmetry is characterized by supercharges which are N-th polynomials of momen…