On exponential decay of solutions of Schrödinger and Dirac equations: bounds of eigenfunctions corresponding to energies in the gaps of essential spectrum
Gheorghe Nenciu (1994)
Journées équations aux dérivées partielles
Similarity:
Displaying similar documents to “Exponential decay of two-body eigenfunctions: a review.”
On exponential decay of solutions of Schrödinger and Dirac equations: bounds of eigenfunctions corresponding to energies in the gaps of essential spectrum
Scattering properties for a pair of Schrödinger type operators on cylindrical domains
Michael Melgaard (2007)
Open Mathematics
Similarity:
Strong asymptotic completeness is shown for a pair of Schrödinger type operators on a cylindrical Lipschitz domain. A key ingredient is a limiting absorption principle valid in a scale of weighted (local) Sobolev spaces with respect to the uniform topology. The results are based on a refined version of Mourre’s method within the context of pseudo-selfadjoint operators.
On an example of phase-space tunneling
Shu Nakamura (1995)
Annales de l'I.H.P. Physique théorique
Similarity:
On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov–Bohm magnetic field.
Hansson, Anders M. (2005)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Eigenvalue asymptotics for Schrödinger and Dirac operators with the constant magnetic field and with electric potential decreasing at infinity
Victor Ivrii (1991)
Journées équations aux dérivées partielles
Similarity:
Finiteness of bound states of general -body operators
Evans, W. D., Lewis, R., Saitó, Y.
Similarity:
Global well-posedness and scattering for the higher-dimensional energy-critical nonlinear Schrödinger equation for radial data.
Tao, Terence (2005)
The New York Journal of Mathematics [electronic only]
Similarity:
Eigenvalue clusters of the Landau Hamiltonian in the exterior of a compact domain.
Pushnitski, Alexander, Rozenblum, Grigori (2007)
Documenta Mathematica
Similarity:
Dynamical Resonances and SSF Singularities for a Magnetic Schrödinger Operator
Astaburuaga, María Angélica, Briet, Philippe, Bruneau, Vincent, Fernández, Claudio, Raikov, Georgi (2008)
Serdica Mathematical Journal
Similarity:
We consider the Hamiltonian H of a 3D spinless non-relativistic quantum particle subject to parallel constant magnetic and non-constant electric field. The operator H has infinitely many eigenvalues of infinite multiplicity embedded in its continuous spectrum. We perturb H by appropriate scalar potentials V and investigate the transformation of these embedded eigenvalues into resonances. First, we assume that the electric potentials are dilation-analytic with respect to the variable...
On the double-well problem for Dirac operators
Evans M. Harrell, M. Klaus (1983)
Annales de l'I.H.P. Physique théorique
Similarity: