activity
19942008
most citedTime-Dependent Pseudo-Hermitian Hamiltonians Defining a Unitary Quantum System and Uniqueness of the Metric Operator

120 citations · 706 across the 27 of their papers we have counts for

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Showing 2006 · quant-phShow all

8 papers · 2 filters

quant-ph20069 cited

Explicit Realization of Pseudo-Hermitian and Quasi-Hermitian Quantum Mechanics for Two-Level Systems

Ali Mostafazadeh, Seher Ozcelik

We give an explicit characterization of the most general quasi-Hermitian operator H, the associated metric operators η_+, and η_+-pseudo-Hermitian operators acting in two-dimension…

quant-ph200679 cited

Delta-Function Potential with a Complex Coupling

Ali Mostafazadeh

We explore the Hamiltonian operator H=-d^2/dx^2 + z δ(x) where x is real, δ(x) is the Dirac delta function, and z is an arbitrary complex coupling constant. For a purely imaginary…

quant-ph200627 cited

Krein-Space Formulation of PT-Symmetry, CPT-Inner Products, and Pseudo-Hermiticity

Ali Mostafazadeh

Emphasizing the physical constraints on the formulation of a quantum theory based on the standard measurement axiom and the Schroedinger equation, we comment on some conceptual iss…

quant-ph20062 cited

Comment on ``On Existence of a Biorthonormal Basis Composed of Eigenvectors of Non-Hermitian Operators [quant-ph/0603075]''

Ali Mostafazadeh

We point out that T. Tanaka's recent criticism [quant-ph/0603075] of the results of J. Math. Phys. 43, 3944 (2002) [math-ph/0203005] is based on an assumption which was never made…

quant-ph200628 cited

Real Description of Classical Hamiltonian Dynamics Generated by a Complex Potential

Ali Mostafazadeh

Analytic continuation of the classical dynamics generated by a standard Hamiltonian, H = p^2/2m + v(x), into the complex plane yields a particular complex classical dynamical syste…

quant-ph200624 cited

Differential Realization of Pseudo-Hermiticity: A quantum mechanical analog of Einstein's field equation

Ali Mostafazadeh

For a given pseudo-Hermitian Hamiltonian of the standard form: H=p^2/2m+v(x), we reduce the problem of finding the most general (pseudo-)metric operator ηsatisfying H^\dagger=ηH η^…