DOI10.1088/0305-4470/33/40/313zbMath0963.81012OpenAlexW2255317856MaRDI QIDQ4523646
Miloslav Znojil, Géza Lévai
Publication date: 14 January 2001
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/33/40/313
Accidental crossing of energy eigenvalues in \(\mathcal{P}T\)-symmetric Natanzon-class potentials,
The emergence of eigenvalues of a \(\mathcal{PT}\)-symmetric operator in a thin strip,
Rational solutions of a weakly coupled nonlocal nonlinear Schrödinger equation,
A PSEUDO-UNITARY ENSEMBLE OF RANDOM MATRICES, PT-SYMMETRY AND THE RIEMANN HYPOTHESIS,
A NOTE ON THE INTEGRABILITY OF NON-HERMITIAN EXTENSIONS OF CALOGEROâMOSERâSUTHERLAND MODELS,
Interlace properties for the real and imaginary parts of the wave functions of complex-valued potentials with real spectrum,
Hermitian-non-Hermitian interfaces in quantum theory,
\({\mathcal {PT}}\) symmetry in Natanzon-class potentials,
Comparative analysis of real and \(\mathcal{PT}\)-symmetric scarf potentials,
Parity anomaly in a \(\mathcal{PT}\)-symmetric quartic Hamiltonian,
CONDITIONS FOR COMPLEX SPECTRA IN A CLASS OF ${\mathcal P}{\mathcal T}$ SYMMETRIC POTENTIALS,
SPONTANEOUS BREAKDOWN OF $\mathcal{PT}$ SYMMETRY IN THE SOLVABLE SQUARE-WELL MODEL,
Superpositions of bright and dark solitons supporting the creation of balanced gainâandâloss optical potentials,
Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscillators,
PT-symmetric solutions of Schrödinger equation with position-dependent mass via point canonical transformation,
Nonunique \(C\) operator \(PT\) in quantum mechanics,
Exponential type complex and non-Hermitian potentials within quantum Hamilton-Jacobi formalism,
An ansatz for the eigenstates in \(\mathcal{PT}\)-symmetric quantum mechanics,
Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT-symmetric potentials,
Form-preserving transformations for the time-dependent Schrödinger equation in \((n+1)\) dimensions,
Non-real eigenvalues for \(\mathcal{PT}\)-symmetric double wells,
A PERTURBATIVE TREATMENT OF A GENERALIZED $\mathcal{PT}$-SYMMETRIC QUARTIC ANHARMONIC OSCILLATOR,
Fragile PT-symmetry in a solvable model,
Asymptotic properties of solvable \({\mathcal{PT}}\)-symmetric potentials,
A new class of PT-symmetric Hamiltonians with real spectra,
Exactly solvable three-body Calogero-type model with translucent two-body barriers,
Exact solutions of the Klein-Gordon equation for the Scarf-type potential via Nikiforov-Uvarov method,
Bounded solutions of the Dirac equation with a PT-symmetric kink-like vector potential in two-dimensional space-time,
A return to observability near exceptional points in a schematic \(\mathcal P\mathcal T\)-symmetric model,
Pseudo-Hermiticity of Hamiltonians under imaginary shift of the coordinate: real spectrum of complex potentials,
Anomalous doublets of states in a PT symmetric quantum model,
Supersymmetric generated complex potential with complete real spectrum,
Supersymmetric solutions of \({\mathcal PT}\)-/non-\({\mathcal PT}\)-symmetric and non-Hermitian central potentials via Hamiltonian hierarchy method,
Pseudo-Hermiticity of Hamiltonians under gauge-like transformation: real spectrum of non-Hermitian Hamiltonians,
PT-symmetry and Schrödinger operators. The double well case,
Relativistic confinement of neutral fermions with partially exactly solvable and exactly solvable PT-symmetric potentials in the presence of position-dependent mass,
Smeared quantum lattices exhibiting đ«đŻ-symmetry with positive đ«,
${\mathcal{PT}}$-SYMMETRIC SUPERSYMMETRY IN A SOLVABLE SHORT-RANGE MODEL,
The finite ${\mathcal{PT}}$ -symmetric square well potential,
Complex Extension of Quantum Mechanics,
Scattering of particles in the presence of harmonic confinement perturbed by a complex absorbing potential,
On the spectra of a class of PT-symmetric quantum nonlinear oscillators,
DARBOUX TRANSFORMATION FOR THE ONE-DIMENSIONAL STATIONARY DIRAC EQUATION WITH NON-HERMITIAN INTERACTION,
An extended scenario for the Schrödinger equation,
Schrödinger equations with logarithmic self-interactions: from antilinear \(\mathcal{PT}\)-symmetry to the nonlinear coupling of channels,
so(2, 1) algebra, local Fermi velocity, and position-dependent mass Dirac equation,
Two-dimensional SUSY-pseudo-Hermiticity without separation of variables