On the calculation of quantum mechanical ground states from classical geodesic motion on certain spaces of constant negative curvature

Roman Tomaschitz

Type: Article

Publication Date: 1989-01-01

Citations: 10

DOI: https://doi.org/10.1016/0167-2789(89)90228-5

View Publication

Download PDF

Locations

Physica D Nonlinear Phenomena - View
CERN Document Server (European Organization for Nuclear Research) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	An alternative to wave mechanics on curved spaces	1992	Roman Tomaschitz
+	The Geometry of Quantum Chaos	1985	Martin C. Gutzwiller
+	The dynamics of the Schrödinger flow from the point of view of semiclassical measures	2011	Nalini Anantharaman Fabricio Macià
+	The dynamics of the Schrödinger flow from the point of view of semiclassical measures	2012	Nalini Anantharaman Fabricio Macià
+	Quantum & Classical Information Geometric Dynamics	2016	Florio M. Ciaglia Fabio Di Cosmo Domenico Felice Stefano Mancini G. Marmo Juan Manuel Pérez-Pardo
+	Characterizations of hamiltonian geodesics in sub-riemannian geometry	1997	M. Alcheikh Patrice Orro Fernand Pelletier
+	Trajectories on Geodesic Spheres in a Non-Flat Complex Space Form	2008	Toshiaki Adachi
+ PDF Chat	Semiclassical measures for complex hyperbolic quotients	2024	Jayadev S. Athreya Semyon Dyatlov Nicholas J. Miller
+	Formulation Of Quantum Mechanics On Poincaré Disks	2021	Arturo Tozzi
+ PDF Chat	Semiclassical measures and the Schrödinger flow on Riemannian manifolds	2009	Fabricio Macià
+	GEODESICS OF RIEMANNIAN COMPLEX HYPERBOLIC PLANE	2024
+	On Global Hyperbolicity of Spacetimes: Topology Meets Functional Analysis	2021	Felix Finster Albert Much Kyriakos Papadopoulos
+	Introduction to models on constant negative curvature surfaces	2020	E. Bogomolny
+	Analysis on fractals, geodesic metric and noncommutative geometry.	2009	Michel L. Lapidus
+	On Geodesic Hyperspheres In A Complex Projective Space	1997	In-Bae Kim Byung Hak Kim Hyunjung Song
+ PDF Chat	Complexity of Quantum-Mechanical Evolutions from Probability Amplitudes	2024	Carlo Cafaro Leonardo Rossetti Paul M. Alsing
+	Space of Geodesics in Hyperbolic Spaces and Lorentz Numbers	2003	真琴木村
+	Closed geodesics on geodesic spaces of curvature <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml10" display="inline" overflow="scroll" altimg="si10.gif"><mml:mo><</mml:mo><mml:mi>∞</mml:mi></mml:math>	2018	Pedro Ontaneda Cristina Salviano
+	Related Aspects of Positivity: λ-Potential Theory on Manifolds, Lowest Eigenstates, Hausdorff Geometry, Renormalized Markoff Processes…	1986	Dennis Sullivan
+	CC-distance and metric normal of smooth hypersurfaces in sub-Riemannian Carnot groups	2009	Nicola Arcozzi Fausto Ferrari Francescopaolo Montefalcone

Works That Cite This (5)

Action	Title	Year	Authors
+ PDF Chat	Electromagnetic radiation in multiply connected Robertson–Walker cosmologies	1993	Roman Tomaschitz
+ PDF Chat	Relativistic quantum chaos in Robertson–Walker cosmologies	1991	Roman Tomaschitz
+ PDF Chat	Relativistic Chaos in Robertson-Walker Cosmologies: The Topological Structure of Space-Time and the Microscopic Dynamics	1992	Roman Tomaschitz
+ PDF Chat	Computation of eigenmodes on a compact hyperbolic 3-space	1999	Kaiki Taro Inoue
+ PDF Chat	An alternative to wave mechanics on curved spaces	1992	Roman Tomaschitz

Works Cited by This (48)

Action	Title	Year	Authors
+	Noneuclidean Tesselations and Their Groups	1974	Wilhelm Magnus
+	Geometry of Discrete Groups	2006	Alan F. Beardon
+	Geometry and Topology of Manifolds	2007	William P. Thurston
+ PDF Chat	Discontinuous Groups and Automorphic Functions	1964	Joseph Lehner
+ PDF Chat	Lectures on Quasiconformal Mappings	2006	Lars V. Ahlfors
+	Representation theory and automorphic functions	1969	М. И. Граев Ilya Piatetski-Shapiro I. M. Gel'fand K. A. Hirsch
+	Selected problems on exceptional sets	1967	Lennart Carleson
+ PDF Chat	The limit set of a Fuchsian group	1976	S. J. Patterson
+ PDF Chat	Limit points of Kleinian groups and finite sided fundamental polyhedra	1974	Alan F. Beardon Bernard Maskit
+	On Poincaré's theorem for fundamental polygons	1971	Bernard Maskit