Calculating bound states resonances and scattering amplitudes for arbitrary 1D potentials with piecewise parabolas

Ofer Neufeld, Yonatan Sharabi, Anael Ben‐Asher, Nimrod Moiseyev

Type: Article

Publication Date: 2018-10-05

Citations: 3

DOI: https://doi.org/10.1088/1751-8121/aae666

View Publication

Locations

Journal of Physics A Mathematical and Theoretical - View

Similar Works

Action	Title	Year	Authors
+	Identification of Piecewise-Constant Potentials by Fixed-Energy Phase Shifts	2001	Semion Gutman
+	A Class of Potentials with Extremely Narrow Resonances	1987	A. Großmann Tai Tsun Wu
+ PDF Chat	Perturbation theory for shape resonances and large barrier potentials	1982	Mark S. Ashbaugh Evans M. Harrell
+	Infinite-dimensional Schrödinger equations with polynomial potentials and Feynman path integrals	2006	O. G. Smolyanov E. T. Shavgulidze
+ PDF Chat	Accurate calculation of resonances for a central-field model potential	2011	Francisco M. Fernández
+	Perturbation theory for resonance and virtual states	1972	S. I. Manaenkov
+	Bound States for Hypercentral Singular and Exponential Potentials	2006	Rajabi
+	Resonances and semiclassical analysis	2008	Johannes Sjöstrand
+	Resonances with a background potential	2008	Erik Balslev
+	Approximation methods for bound states and scattering	2009	Bipin R. Desai
+	Analytic continuation of scattering amplitudes and Padé approximants	1972	J. Fleischer
+	Approximating resonances with the Complex Absorbing Potential Method	2004	Plamen Stefanov
+	A sub-logarithmic lower bound for resonance counting function in two-dimensional potential scattering	2010	Lung-Hui Chen
+	Scattering matrix resonances and quasi-levels	1996	A. A. Arsen’ev
+	A semiclassical approximation for matrix elements involving non-orthogonal bound states	1981	V. Buch Mark A. Ratner R. B. Gerber
+	Coulomb functions in entire (η, π)-plane	1984	C. Bardin Y. Dandeu L. Gauthier J. Guillermin T. Lena J.-M. Pernet H.H. Wolter T. Tamura
+	Bound states in one dimension	2015	Efstratios Manousakis
+	Bernsteing inequalitity for 1-d Hamiltonians without resonances	2014	Vladimir Simeonov Gueorguiev Anna Rita Giammetta
+	Non-exponential decay of wavefunctions and scattering resonances	2001	A. Petridis Jonathan Vermedahl L. P. Staunton Marshall Luban
+	Bound and resonance states for isochronous potentials	1988	Nurit Lipkin Nimrod Moiseyev Jacob Katriel

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (16)

Action	Title	Year	Authors
+	Discrete‐Variable Representations and their Utilization	2000	John C. Light Tucker Carrington
+	Exact solution of the Coulomb problem on a lattice	1992	Andrei A. Kvitsinsky
+	Generalized discrete variable approximation in quantum mechanics	1985	J. C. Light I. P. Hamilton James Lill
+	Handbook of Mathematical Functions	1966	Donald A. McQuarrie
+	Complex Coordinates in the Theory of Atomic and Molecular Structure and Dynamics	1982	William P. Reinhardt
+	Methods of conjugate gradients for solving linear systems	1952	Magnus R. Hestenes Eduard Stiefel
+ PDF Chat	Analytical Solution of Schrodinger Equation for Modified Anisotropic Nonquadratic with Exponential Potential Using Supersymmetric Quantum Mechanics	2016	M. Ma’arif Suparmi Suparmi C. Cari
+	Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables	1965	J. W. W. Milton Abramowitz Irene A. Stegun
+ PDF Chat	The double-well potential in quantum mechanics: a simple, numerically exact formulation	2012	Vedran Jelic F. Marsiglio
+ PDF Chat	Observation of Resonances in Penning Ionization Reactions at Sub-Kelvin Temperatures in Merged Beams	2012	Alon Henson Sasha Gersten Yuval Shagam Julia Narevicius Edvardas Narevicius