On the metric operator for a nonsolvable non-Hermitian model
DOI10.1016/S0034-4877(15)30013-6zbMath1327.81205OpenAlexW2222792280MaRDI QIDQ887035
Publication date: 27 October 2015
Published in: Reports on Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0034-4877(15)30013-6
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General spectral theory of ordinary differential operators (34L05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)
Cites Work
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- Finding of the metric operator for a quasi-Hermitian model
- On the similarity of Sturm-Liouville operators with non-Hermitian boundary conditions to self-adjoint and normal operators
- Three-Hilbert-space formulation of quantum mechanics
- Quasi-Hermitian operators in quantum mechanics and the variational principle
- Point interactions: \(\mathcal{PT}\)-Hermiticity and reality of the spectrum.
- A two-parameter family of non-Hermitian Hamiltonians with real spectrum
- PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
- Recent developments in some non-self-adjoint problems of mathematical physics
- Calculation of the metric in the Hilbert space of a {\cal P}{\cal T} -symmetric model via the spectral theorem
- Supersymmetric quasi-Hermitian Hamiltonians with point interactions on a loop
- Complete set of inner products for a discrete PT-symmetric square-well Hamiltonian
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- Pseudo-Hermitian description ofPT-symmetric systems defined on a complex contour
- Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Pseudo-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
- Closed formula for the metric in the Hilbert space of a -symmetric model
- Non-self-adjoint graphs
- Interpolation zwischen den Klassen 𝔖p von Operatoren in Hilberträumen
- On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
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