Pseudospectra in non-Hermitian quantum mechanics

Classical and quantum dynamics in the (non-Hermitian) Swanson oscillator

(2015) Eva-Maria Graefe et al.   Journal of Physics A-Mathematical and Theoretical

Root System of Singular Perturbations of the Harmonic Oscillator Type Operators

(2015) Boris Mityagin et al.   LETTERS IN MATHEMATICAL PHYSICS

The Real Spectrum of the Imaginary Cubic Oscillator: An Expository Proof

(2014) Ilario Giordanelli et al.   ANNALES HENRI POINCARE

Singular-Value Decomposition of Solution Operators to Model Evolution Equations: Fig. 1.

(2014) Alexandru Aleman et al.   INTERNATIONAL MATHEMATICS RESEARCH NOTICES

Spectral instability for even non-selfadjoint anharmonic oscillators

(2014) Raphaël Henry   Journal of Spectral Theory

Spectral Projections of the Complex Cubic Oscillator

(2013) Raphaël Henry   ANNALES HENRI POINCARE

On the Similarity of Sturm–Liouville Operators with Non-Hermitian Boundary Conditions to Self-Adjoint and Normal Operators

(2013) David Krejčiřík et al.   Complex Analysis and Operator Theory

On J-self-adjoint operators with stable C-symmetries

(2013) Seppo Hassi et al.   PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS

Resolvent estimates for elliptic quadratic differential operators

(2013) Michael Hitrik et al.   Analysis & PDE

Spectral projections and resolvent bounds for partially elliptic quadratic differential operators

(2013) Joe Viola   Journal of Pseudo-Differential Operators and Applications

Eigensystem of an L 2-perturbed harmonic oscillator is an unconditional basis

(2012) James Adduci et al.   Central European Journal of Mathematics

Root System of a Perturbation of a Selfadjoint Operator with Discrete Spectrum

(2012) James Adduci et al.   INTEGRAL EQUATIONS AND OPERATOR THEORY

Quadratic ${\mathcal P}{\mathcal T}$-symmetric operators with real spectrum and similarity to self-adjoint operators

(2012) Emanuela Caliceti et al.   Journal of Physics A-Mathematical and Theoretical

On the metric operator for the imaginary cubic oscillator

(2012) P. Siegl et al.   PHYSICAL REVIEW D

Superconductivity near the Normal State in A Half-Plane under the Action of A Perpendicular Electric Current and an Induced Magnetic Field, Part II: The Large Conductivity Limit

(2012) Yaniv Almog et al.   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Superconductivity near the normal state in a half-plane under the action of a perpendicular electric current and an induced magnetic field

(2012) Yaniv Almog et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Pseudospectra of semigroup generators

(2010) E. Shargorodsky   BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS

(2010) ALI MOSTAFAZADEH   INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

${\mathcal{PT}}$ -Symmetric Square Well-Perturbations and the Existence of Metric Operator

(2010) Petr Siegl   INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS

{\mathcal {PT}}-symmetric models in curved manifolds

(2010) David Krejčiřík et al.   Journal of Physics A-Mathematical and Theoretical

Examples of pseudo-bosons in quantum mechanics

(2010) F. Bagarello   PHYSICS LETTERS A

On the definition of pseudospectra

(2009) E. Shargorodsky   BULLETIN OF THE LONDON MATHEMATICAL SOCIETY

J-self-adjoint operators with \mathcal{C} -symmetries: an extension theory approach

(2009) S Albeverio et al.   Journal of Physics A-Mathematical and Theoretical

On the pseudospectrum of elliptic quadratic differential operators

(2008) Karel Pravda-Starov   DUKE MATHEMATICAL JOURNAL

$$\mathcal {PT}$$ -Symmetric Waveguides

(2008) Denis Borisov et al.   INTEGRAL EQUATIONS AND OPERATOR THEORY

Non-Hermitian spectral effects in a {\cal P\cal T} -symmetric waveguide

(2008) D Krejčiřík et al.   Journal of Physics A-Mathematical and Theoretical

Calculation of the metric in the Hilbert space of a {\cal P}{\cal T} -symmetric model via the spectral theorem

(2008) David Krejčiřík   Journal of Physics A-Mathematical and Theoretical

The Stability of the Normal State of Superconductors in the Presence of Electric Currents

(2008) Y. Almog   SIAM JOURNAL ON MATHEMATICAL ANALYSIS

Boundary Pseudospectral Behaviour for Semiclassical Operators in One Dimension

(2007) K. Pravda-Starov   INTERNATIONAL MATHEMATICS RESEARCH NOTICES