aqora

Pseudo-supersymmetric quantum mechanics and isospectral pseudo-Hermitian Hamiltonians

Ali Mostafazadeh

arXiv:math-ph/0203041Nuclear Physics BSep 1, 2002177 citations

Equivalence of Tensor Product and Partner Hamiltonian Formalism in Supersymmetric Quantum Mechanics

Rathindra Nath Das, Archana Maji

Jul 31, 20200 citations

Supersymmetry without hermiticity within symmetric quantum mechanics

Miloslav Znojil, F. Cannata, Bijan Kumar Bagchi +1 more

arXiv:hep-th/0003277Physics Letters BJun 1, 2000145 citations

Construction of the metric and equivalent Hermitian Hamiltonian via SUSY transformation operators

V. V. Shamshutdinova

The metric operator, which is the basic ingredient for studying a quantum system described by a pseudo-Hermitian Hamiltonian, provides the necessary means for obtaining an equivalent description of the system using a Hermitian Hamiltonian. In the framework of supersymmetric quantum mechanics, we propose a method of constructing the metric operator and to obtain the Hermitian Hamiltonian equivalent to the given pseudo-Hermitian.

Physics of Atomic NucleiOct 1, 20121 citation

On Supersymmetric Quantum Mechanics

M. Kibler, Mohammed Daoud A

Springer eBooksJan 1, 20043 citations

Statistical origin of pseudo-Hermitian supersymmetry and pseudo-Hermitian fermions

Ali Mostafazadeh

We show that the metric operator for a pseudo-supersymmetric Hamiltonian that has at least one negative real eigenvalue is necessarily indefinite. We introduce pseudo-Hermitian fermion (phermion) and abnormal phermion algebras and provide a pair of basic realizations of the algebra of N = 2 pseudo-supersymmetric quantum mechanics in which pseudo-supersymmetry is identified with either a boson-phermion or a boson-abnormal-phermion exchange symmetry. We further establish the physical equivalence (non-equivalence) of phermions (abnormal phermions) with ordinary fermions, describe the underlying Lie algebras and study multi-particle systems of abnormal phermions. The latter provides a certain bosonization of multi-fermion systems.We show that the metric operator for a pseudo-supersymmetric Hamiltonian that has at least one negative real eigenvalue is necessarily indefinite. We introduce pseudo-Hermitian fermion (phermion) and abnormal phermion algebras and provide a pair of basic realizations of the algebra of N = 2 pseudo-supersymmetric quantum mechanics in which pseudo-supersymmetry is identified with either a boson-phermion or a boson-abnormal-phermion exchange symmetry. We further establish the physical equivalence (non-equivalence) of phermions (abnormal phermions) with ordinary fermions, describe the underlying Lie algebras and study multi-particle systems of abnormal phermions. The latter provides a certain bosonization of multi-fermion systems.

arXiv:quant-ph/0404025Journal of Physics A Mathematical and GeneralOct 15, 200419 citations

Equivalent Hermitian operator from supersymmetric quantum mechanics

Related papers

Equivalent Hermitian operator from supersymmetric quantum mechanics

Related papers