Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Optics Communications

Analytical solution for the one-dimensional scattering problem

Hichem Eleuch, M. Sebawe Abdalla, Yuri V. Rostovtsev

Published Aug 21, 2011• 7 citations
Publisher
DOI
10.1016/j.optcom.2011.08.011

Related papers

One-Dimensional Scattering Theory

Bernd Thaller

Springer eBooks•Jan 1, 2000•3 citations

Some piecewise-analytical solutions to the one-dimensional Schrödinger equation II

Yu.K. Khokhlov

The inverse approach method is further developed with the purpose to construct more complex analytically integrable one-dimensional Schrödinger-type equations based on simpler ones. The centrifugal and Coulomb potentials are taken into consideration. The analysis is presented by the example of the problem of particle scattering by the nuclear optical potential. The dependence of the constructed potential on the energy and angular momentum appears negligible.

Bulletin of the Lebedev Physics Institute•Sep 1, 2008•0 citations

Four-Body Problem and BEC-BCS Crossover in a Quasi-One-Dimensional Cold Fermion Gas

Christophe Mora, A. Komnik, Reinhold Egger +1 more

The four-body problem for an interacting two-species Fermi gas is solved analytically in a confined quasi-one-dimensional geometry, where the two-body atom-atom scattering length a(aa) displays a confinement-induced resonance. We compute the dimer-dimer scattering length a(dd) and show that this quantity completely determines the many-body solution of the associated BEC-BCS crossover phenomenon in terms of bosonic dimers.

arXiv:cond-mat/0501641•Physical Review Letters•Aug 19, 2005•38 citations

One-Dimensional Scattering

Willi-Hans Steeb

Springer eBooks•Jan 1, 1998•1 citation

Scattering in one Dimension

Charles G. Wohl

CRC Press eBooks•Sep 16, 2022•0 citations

Determinable solutions for one-dimensional quantum potentials: scattering, quasi-bound and bound-state problems

Hwasung Lee, Y J Lee

We derive analytic expressions of the recursive solutions to the Schrödinger's equation by means of a cutoff potential technique for one-dimensional piecewise constant potentials. These solutions provide a method for accurately determining the transmission probabilities as well as the wave function in both classically accessible region and inaccessible region for any barrier potentials. It is also shown that the energy eigenvalues and the wave functions of bound states can be obtained for potential-well structures by exploiting this method. Calculational results of illustrative examples are shown in order to verify this method for treating barrier and potential-well problems.

arXiv:quant-ph/0611197•Journal of Physics A Mathematical and Theoretical•Mar 14, 2007•3 citations
We derive analytic expressions of the recursive solutions to the Schrödinger's equation by means of a cutoff potential technique for one-dimensional piecewise constant potentials. These solutions provide a method for accurately determining the transmission probabilities as well as the wave function in both classically accessible region and inaccessible region for any barrier potentials. It is also shown that the energy eigenvalues and the wave functions of bound states can be obtained for potential-well structures by exploiting this method. Calculational results of illustrative examples are shown in order to verify this method for treating barrier and potential-well problems.