Certain complex-contour (a.k.a. quantum-toboggan) generalizations of Schroedinger’s bound-state problem are reviewed and studied in detail. Our key message is that the practical numerical solution of these atypical eigenvalue problems may perceivably be facilitated via an appropriate complex change of variables which maps their multi-sheeted complex domain of definition to a suitable single-sheeted complex plane
summary:This is a readable review of recent work on non-Hermitian bound state problems with complex ...
summary:This is a readable review of recent work on non-Hermitian bound state problems with complex ...
In this thesis the quantum Hamilton - Jacobi (QHJ) formalism is used for (i) potentials which exhibi...
Certain complex-contour (a.k.a. quantum-toboggan) generalizations of Schroedinger’s bound-state prob...
In supersymmetric quantum mechanics the emergence of a singularity may lead to the breakdown of isos...
The recently proposed PT-symmetric quantum mechanics works with complex potentials which possess, ro...
PT-symmetric quantum mechanics began with a study of the Hamiltonian H=p2+x2(ix)ɛ. When ɛ≥0, the eig...
A few recent innovations of the applicability of standard textbook Quantum Theory are reviewed. The ...
We consider a second-order differential equation -y''(z)-(iz)^{N+2}y(z)=\lambda y(z), z\in \Gamma wi...
We consider a second-order differential equation -y''(z)-(iz)^{N+2}y(z)=\lambda y(z), z\in \Gamma wi...
We consider a second-order differential equation -y''(z)-(iz)^{N+2}y(z)=\lambda y(z), z\in \Gamma wi...
We consider a second-order differential equation -y''(z)-(iz)^{N+2}y(z)=\lambda y(z), z\in \Gamma wi...
Recent work in mathematical physics and nonlinear optics has shown that Hamiltonians that are non-He...
We develop a general approach to study three-dimensional Schroedinger operators with confining poten...
The appearances of complex eigenvalues in the spectra of PT-symmetric quantum mechanical systems are...
summary:This is a readable review of recent work on non-Hermitian bound state problems with complex ...
summary:This is a readable review of recent work on non-Hermitian bound state problems with complex ...
In this thesis the quantum Hamilton - Jacobi (QHJ) formalism is used for (i) potentials which exhibi...
Certain complex-contour (a.k.a. quantum-toboggan) generalizations of Schroedinger’s bound-state prob...
In supersymmetric quantum mechanics the emergence of a singularity may lead to the breakdown of isos...
The recently proposed PT-symmetric quantum mechanics works with complex potentials which possess, ro...
PT-symmetric quantum mechanics began with a study of the Hamiltonian H=p2+x2(ix)ɛ. When ɛ≥0, the eig...
A few recent innovations of the applicability of standard textbook Quantum Theory are reviewed. The ...
We consider a second-order differential equation -y''(z)-(iz)^{N+2}y(z)=\lambda y(z), z\in \Gamma wi...
We consider a second-order differential equation -y''(z)-(iz)^{N+2}y(z)=\lambda y(z), z\in \Gamma wi...
We consider a second-order differential equation -y''(z)-(iz)^{N+2}y(z)=\lambda y(z), z\in \Gamma wi...
We consider a second-order differential equation -y''(z)-(iz)^{N+2}y(z)=\lambda y(z), z\in \Gamma wi...
Recent work in mathematical physics and nonlinear optics has shown that Hamiltonians that are non-He...
We develop a general approach to study three-dimensional Schroedinger operators with confining poten...
The appearances of complex eigenvalues in the spectra of PT-symmetric quantum mechanical systems are...
summary:This is a readable review of recent work on non-Hermitian bound state problems with complex ...
summary:This is a readable review of recent work on non-Hermitian bound state problems with complex ...
In this thesis the quantum Hamilton - Jacobi (QHJ) formalism is used for (i) potentials which exhibi...