Semiclassical analysis of low lying elgenvalues. III. Width of the ground state band in strongly coupled solids

Barry Simon

Type: Article

Publication Date: 1984-12-01

Citations: 52

DOI: https://doi.org/10.1016/0003-4916(84)90125-8

View Publication

Locations

Annals of Physics - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Asymptotic properties of excited states in the Thomas–Fermi limit	2010	Dmitry E. Pelinovsky
+ PDF Chat	A semiclassical approach to the ground state and density oscillations of quantum dots	2000	A. Puente M. Casas Llorenç Serra
+	Low-energy behavior near the semi-Dirac point	2010	Swapnonil Banerjee Warren E. Pickett
+	On the existence and limit behavior of ground states for two coupled Hartree equations	2022	Miao Du Siyu Wang
+	Semiclassical Approximations for High-Energy Scattering.	1975	M. Mitchell Waldrop
+	Properties of the bound states embedded in the continuum	1964	L. Fonda Gian Carlo Ghirardi
+	Asymptotic analysis of semi-classical resonance wave functions	1991	R. Lefèbvre
+	An analytical description of populations of highly excited levels	1982	И. Л. Бейгман I.M. Gaisinsky
+	Bound states near the limit of the lower continuum	1976	V. D. Mur V. S. Popov
+	Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states	2020	A. Yu. Anikin S. Yu. Dobrokhotov A. V. Tsvetkova
+ PDF Chat	On the Herman-Kluk Semiclassical Approximation	2010	Didier Robert
+ PDF Chat	Feynman–Schwinger representation method for bound states	2001	Çetin Şavklı
+	A semiclassical approximation for matrix elements involving non-orthogonal bound states	1981	V. Buch Mark A. Ratner R. B. Gerber
+	Bound States and Continuum States of Atomic Systems	1973	M. J. Seaton
+	Semiclassical Method and Zero-Point Oscillations	1968	I. R. Senitzky
+	Asymptotic behaviour of atomic bound state wavefunctions	1972	Reinhart Ahlrichs
+	The semiclassical approximation for the Dirac equation.	1998	A. F. Nikiforov Н. Н. Фимин
+	A variational approach to resonances in zero-gap semiconductors	1978	Béla Joós Arunava Das Philip R. Wallace
+	Ground states of a coupled pseudo-relativistic Hartree system: Existence and concentration behavior	2025	H. He Chungen Lıu Jiabin Zuo
+ PDF Chat	Accuracy of the semi-classical approximation: the Pullen-Edmonds Hamiltonian	1994	S. Graffi Vincenzo Manfredi Luca Salasnich

Works That Cite This (45)

Action	Title	Year	Authors
+ PDF Chat	Purely magnetic tunneling effect in two dimensions	2021	Virginie Bonnaillie‐Noël Frédéric Hérau Nicolas Raymond
+ PDF Chat	Dirac cones for a mean-field model of graphene	2024	Jean Cazalis
+	Edge States of continuum Schroedinger operators for sharply terminated honeycomb structures	2018	Charles Fefferman Michael I. Weinstein
+ PDF Chat	On the measure of the spectrum for the almost Mathieu operator	1991	J. E. Avron Pierre van Mouche Barry Simon
+	Comparison theorems for the gap of Schrödinger òperators	1987	Werner Kirsch Barry Simon
+	M8gnetic SchrOdinger oper8tors 8nd effective H8ml1tonians	1991	Johannes Sjöstrand
+	Conformally flat Riemannian metrics, Schrödinger operators, and semiclassical approximation	1987	E. B. Davies Evans M. Harrell
+	Spectral stability under tunneling	1989	Philippe Briet J. M. Combes Pierre Duclos
+ PDF Chat	Lower part of the spectrum for the two-dimensional Schrödinger operator periodic in one variable and application to quantum dimers	2016	A. Yu. Anikin S. Yu. Dobrokhotov M. I. Katsnelson
+	Anderson localization for one-dimensional difference Schr�dinger operator with quasiperiodic potential	1987	Ya. G. Sinaĭ

Works Cited by This (7)

Action	Title	Year	Authors
+	Pointwise bounds on eigenfunctions and wave packets inN-body quantum systems	1981	René Carmona Barry Simon
+	Large Deviations and Applications	2012	S. R. S. Varadhan
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon
+	Multiple wells in the semi-classical limit I	1984	Bernard Helffer Johannes Sjöstrand
+ PDF Chat	On the rate of asymptotic eigenvalue degeneracy	1978	Evans M. Harrell
+	Semiclassical Analysis of Low Lying Eigenvalues, II. Tunneling	1984	Barry Simon
+	Analysis of Operators	1978	Michael C. Reed Barry Simon