High energy asymptotics of the scattering amplitude for the Schrödinger equation

D. R. Yafaev

Type: Article

Publication Date: 2002-02-01

Citations: 7

DOI: https://doi.org/10.1007/bf02829654

View Publication

Locations

Proceedings - Mathematical Sciences - View

Similar Works

Action	Title	Year	Authors
+	The asymptotic spectral function of the Schrödinger equation	1967	A. A. Arsen’ev
+	An asymptotic expression of the Schrödinger equation	2007	Zhaosheng Feng David Yang Gao
+	High energy asymptotics for eigenvalues of the Schrödinger operator with a matrix potential	2011	Didem Co dskan Sedef Karakılıç
+	The asymptotic behaviour of the eigenfunctions of higher order of the Schrödinger operator	1982	Vilmos Komornik
+	Asymptotics of spectral quantities of Schrödinger operators	2012	Thomas Kappeler B. Schaad Peter Topalov
+ PDF Chat	Asymptotic Number of Scattering Resonances for Generic Schrödinger Operators	2013	Tien‐Cuong Dinh Duc‐Viet Vu
+	Asymptotic behavior of solutions to a system of Schrodinger equations	2017	Xavier Carvajal Pedro Gamboa Šárka Nečasová Huy Hoang Nguyen Octavio Vera
+	Eigenvalue asymptotics for the schrodinger operator in strong constant magnetic fields	1998	Georgi Raikov
+	5. Asymptotic Solution of the Schrödinger Equation	2018	Sergey G. Glebov O. M. Kiselëv Николай Тарханов
+	An asymptotic of the negative discrete spectrum of the Schr�dinger operator	1977	G. V. Rozenblyum
+	Spectral asymptotics for the Schr�dinger operator with potential which steadies at infinity	1989	Georgi Raikov
+	Asymptotic Solutions of the One-dimensional Schrödinger Equation	1996	S. Yu. Slavyanov
+	Asymptotic Solutions of the One-dimensional Schrodinger Equation	1996	S. I︠u︡. Slavi︠a︡nov
+	Strong electric field eigenvalue asymptotics for the Schr�dinger operator with electromagnetic potential	1991	Georgi Raikov
+	Eigenvalue asymptotics and a non-linear Schrödinger equation	1993	Raffaele Chiappinelli D. E. Edmunds
+	Asymptotic of the density of states for the Schrödinger operator with periodic electric potential	1998	Bernard Helffer Abderemane Mohamed
+	Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators	1973	J. M. Combes Lawrence E. Thomas
+	"Non-standard" spectral asymptotics for a two-dimensional Schrödinger operator	1997	Михаил Шлемович Бирман Arij Laptev
+ PDF Chat	Eigenvalue Asymptotics of Schrödinger Operators with Only Discrete Spectrum	1992	Kazuya Tachizawa
+	Asymptotic Perturbation Theory for the Eigenvalues of Schroedinger Operators in a Strong Coupling Limit.	1980	Mark S. Ashbaugh

Works That Cite This (7)

Action	Title	Year	Authors
+	Scattering Matrix for Magnetic Potentials with Coulomb Decay at Infinity	2003	D. R. Yafaev
+	Perturbation determinants, the spectral shift function, trace identities, and all that	2007	D. R. Yafaev
+ PDF Chat	Оператор Шрeдингера: определители возмущения, функция спектрального сдвига, тождества следов и прочее	2007	Дмитрий Рауэльевич Яфаев Dmitrii Rauel'evich Yafaev
+	High-energy and smoothness asymptotic expansion of the scattering amplitude	2003	D. R. Yafaev
+ PDF Chat	On inverse scattering at a fixed energy for potentials with a regular behaviour at infinity	2005	Ricardo Weder D. R. Yafaev
+ PDF Chat	High‐energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and application	2014	Ivan Naumkin Ricardo Weder
+	The Schrödinger operator: Perturbation determinants, the spectral shift function, trace identities, and all that	2007	D. R. Yafaev

Works Cited by This (13)

Action	Title	Year	Authors
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon
+	A class of pseudo-differential operators with oscillating symbols	1998	D. R. Yafaev
+	Scattering Matrices for Two-Body Schrodinger Operators	1985	Hiroshi Isozaki Hitoshi Kitada
+ PDF Chat	Trace theorems for pseudo-differential operators	1998	Nicolás Lerner D. R. Yafaev
+	The Scattering Amplitude for the Schrödinger Equation with a Long-Range Potential	1998	D. R. Yafaev
+ PDF Chat	Uniform coordinates and spectral asymptotics for solutions of the scattering problem for the Schr�dinger equation	1978	M. M. Skriganov
+ PDF Chat	Propagation estimates for Schrödinger-type operators	1985	Arne Jensen
+	Operateurs conjugu�s et propri�t�s de propagation	1983	E. Mourre
+	The Analysis of Linear Partial Differential Operators III	2007	Lars Hörmander