Spectral decomposition of some non-self-adjoint operators
From MaRDI portal
Publication:6191447
DOI10.5802/ahl.185arXiv2203.12406OpenAlexW4389615680MaRDI QIDQ6191447
Publication date: 7 March 2024
Published in: Annales Henri Lebesgue (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.12406
Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Structure theory of linear operators (47A65) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Nonselfadjoint operators (47B28) Resonances in quantum scattering theory (81U24)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Number of eigenvalues for dissipative Schrödinger operators under perturbation
- Unified theory of nuclear reactions
- Nonself-adjoint operators with almost Hermitian spectrum: Cayley identity and some questions of spectral structure
- Nonselfadjoint operators, infinite determinants, and some applications
- \(\mathcal {PT}\)-symmetric waveguides
- Non-unitary scattering and capture. I: Hilbert space theory
- Spectral properties of Schrödinger operators and time-decay of the wave functions
- Quasi-Hermitian operators in quantum mechanics and the variational principle
- Puiseux series for resonances at an imbedded eigenvalue
- Asymptotic completeness in dissipative scattering theory
- Spectral stability of Schrödinger operators with subordinated complex potentials
- Time-decay of semigroups generated by dissipative Schrödinger operators
- On the reality of the eigenvalues for a class of \(\mathcal{PT}\)-symmetric oscillators
- Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers
- Large time behavior of solutions to Schrödinger equation with complex-valued potential
- Limiting absorption principle and virtual levels of operators in Banach spaces
- Gevrey estimates of the resolvent and sub-exponential time-decay for the heat and Schrödinger semigroups
- Scattering matrices for dissipative quantum systems
- Boundary values of resolvents of selfadjoint operators in Krein spaces
- Wave operators and similarity for some non-selfadjoint operators
- On the large perturbation by a class of non-selfadjoint operators
- Perturbation of non-selfadjoint operators. I
- Perturbation of non-selfadjoint operators. II
- A unified theory of nuclear reactions. II
- The abstract Birman-Schwinger principle and spectral stability
- Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics
- On the number of eigenvalues of Schrödinger operators with complex potentials
- Non-Selfadjoint Operators in Quantum Physics
- The effective Hamiltonian for thin layers with non-Hermitian Robin-type boundary conditions
- A survey of the theory of spectral operators
- Some non-selfadjoint operators
- Pseudospectra in non-Hermitian quantum mechanics
- Calculation of the metric in the Hilbert space of a {\cal P}{\cal T} -symmetric model via the spectral theorem
- One-Parameter Semigroups for Linear Evolution Equations
- 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-Hermiticity versus PT-symmetry. II. A complete characterization of non-Hermitian Hamiltonians with a real spectrum
- The Functional Calculus
- Partial inner product spaces, metric operators and generalized hermiticity
- The generalized Birman–Schwinger principle
- Generic nature of asymptotic completeness in dissipative scattering theory
- Mathematical Theory of Scattering Resonances
- Closed formula for the metric in the Hilbert space of a -symmetric model
- Eigenfunction expansions associated with the Schrödinger operator with a complex potential and the scattering theory
- Perturbation theory of some spectral operators
- Neutron Capture and Nuclear Constitution
- Model for Nuclear Reactions with Neutrons
- $\boldsymbol{\mathcal{PT}}$-symmetric potentials having continuous spectra
