Using the “exact WKB method” [E. Delabaere et al., J. Math. Phys. 38 (1997) 6126], we prove some reality results on the spectrum of some families of non-Hermitian Hamiltonians having -symmetry. This partially solves a conjecture of Zinn-Justin and Bessis. In part II [Phys. Lett. A 250 (1998) 29] we will prove non-reality results for other such families
Large families of Hamiltonians that are non-Hermitian in the conventional sense have been found to h...
We consider a two-parameter non hermitean quantum-mechanical hamiltonian that is invariant under the...
We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hami...
The Hermiticity from conventional quantum mechanics guarantees that the energy spectrum is real. How...
We analyse several non-Hermitian Hamiltonians with antiunitary symmetry from the point of view of th...
A fundamental problem in the theory of PT-invariant quantum systems is to determine whether a given ...
We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT-symmetry ...
A fundamental problem in the theory of PT-invariant quantum systems is to determine whether a given ...
PT-symmetric quantum mechanics began with a study of the Hamiltonian H=p2+x2(ix)ɛ. When ɛ≥0, the eig...
The impact of an anti-unitary symmetry on the spectrum of non-Hermitian operators is studied. Wigner...
We consider two simple examples of PT symmetric non-Hermitian Hamiltonians H(λ)=H0+iλxn (n...
It is believed that unbroken PT symmetry is sufficient to guarantee that the spectrum of a non-Hermi...
With a view to getting further insight into the solutions of one-dimensional analogous Schrödinger e...
PT-/non-PT-symmetric and non-Hermitian deformed Morse and Poschl-Teller potentials are studied first...
We review the proof of a conjecture concerning the reality of the spectra of certain PT-symmetric qu...
Large families of Hamiltonians that are non-Hermitian in the conventional sense have been found to h...
We consider a two-parameter non hermitean quantum-mechanical hamiltonian that is invariant under the...
We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hami...
The Hermiticity from conventional quantum mechanics guarantees that the energy spectrum is real. How...
We analyse several non-Hermitian Hamiltonians with antiunitary symmetry from the point of view of th...
A fundamental problem in the theory of PT-invariant quantum systems is to determine whether a given ...
We briefly explain some simple arguments based on pseudo Hermiticity, supersymmetry and PT-symmetry ...
A fundamental problem in the theory of PT-invariant quantum systems is to determine whether a given ...
PT-symmetric quantum mechanics began with a study of the Hamiltonian H=p2+x2(ix)ɛ. When ɛ≥0, the eig...
The impact of an anti-unitary symmetry on the spectrum of non-Hermitian operators is studied. Wigner...
We consider two simple examples of PT symmetric non-Hermitian Hamiltonians H(λ)=H0+iλxn (n...
It is believed that unbroken PT symmetry is sufficient to guarantee that the spectrum of a non-Hermi...
With a view to getting further insight into the solutions of one-dimensional analogous Schrödinger e...
PT-/non-PT-symmetric and non-Hermitian deformed Morse and Poschl-Teller potentials are studied first...
We review the proof of a conjecture concerning the reality of the spectra of certain PT-symmetric qu...
Large families of Hamiltonians that are non-Hermitian in the conventional sense have been found to h...
We consider a two-parameter non hermitean quantum-mechanical hamiltonian that is invariant under the...
We give a necessary and sufficient condition for the reality of the spectrum of a non-Hermitian Hami...
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