On the quantisation of Arnold's cat

Stefan Knabe

Type: Article

Publication Date: 1990-06-07

Citations: 28

DOI: https://doi.org/10.1088/0305-4470/23/11/025

View Publication

Locations

Journal of Physics A Mathematical and General - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	On the quantum cat and sawtooth maps—Return to generic behaviour	1995	Arul Lakshminarayan N. L. Balázs
+ PDF Chat	On Matrix Elements for the Quantized Cat Map Modulo Prime Powers	2008	Dubi Kelmer
+	On the quantization of an essentially nonlinear field	1971	D. I. Blohinčev
+	THE ARITHMETIC THEORY OF QUANTUM MAPS	2007	Zeév Rudnick
+	Eigenfunctions of the Quantized Cat Map	1999	Pär Kurlberg Zeév Rudnick
+	Viro’s quantization of Arnold invariant	2016
+	The quantization of classical systems	1974	P. B. Guest
+ PDF Chat	Quantization of Big Bang in Crypto-Hermitian Heisenberg Picture	2016	Miloslav Znojil
+	On the quantization of classical systems	1963	J.-P. Amiet
+	Coadjoint orbits and Kähler structure: examples from coherent states	2021	Rukmini Dey Joseph Samuel Rithwik S. Vidyarthi
+	ARITHMETIC QUANTUM CHAOS ON LOCALLY SYMMETRIC SPACES	2005	Lior Silberman
+	Coherent States as K\"ahler embeddings in ${\mathbb C}P^{\infty}$	2021	Rukmini Dey Joseph Samuel Rithwik S. Vidyarthi
+	The configurational quantum cat map	1990	Stefan Weigert
+	Quantum Theory and the Category of Complex Numbers	2006	Simon Davis
+	Quantization of Chirikov map and quantum KAM theorem	1987	Kangjie Shi
+	Weyl quantization on compact Abelian groups and the quantum mechanics of almost periodic systems	1981	M. A. Antonets I. A. Shereshevskii
+ PDF Chat	Klein's programme and quantum mechanics	2015	Jesús Clemente-Gallardo G. Marmo
+	Moyal quantization on the cylinder	1997	Oscar Arratia M. A. del Olmo
+ PDF Chat	Heisenberg-smooth operators from the phase space perspective	2024	Robert Fulsche Lauritz van Luijk
+	"Quantization is a mystery"	2012	Иван Тодоров

Works That Cite This (22)

Action	Title	Year	Authors
+ PDF Chat	On the multiplicativity of quantum cat maps	2002	Francesco Mezzadri
+ PDF Chat	Scarring on Invariant Manifolds for Perturbed Quantized Hyperbolic Toral Automorphisms	2007	Dubi Kelmer
+ PDF Chat	Bounds on Supremum Norms for Hecke Eigenfunctions of Quantized Cat Maps	2006	Pär Kurlberg
+ PDF Chat	Large Newforms of the Quantized Cat Map Revisited	2010	Rikard Olofsson
+ PDF Chat	Hecke Eigenfunctions of Quantized Cat Maps Modulo Prime Powers	2009	Rikard Olofsson
+ PDF Chat	Hecke theory and equidistribution for the quantization of linear maps of the torus	2000	Pär Kurlberg Zeév Rudnick
+	Pseudo-symmetries of Anosov maps and spectral statistics	2000	Jonathan P. Keating Francesco Mezzadri
+ PDF Chat	On Quantum Unique Ergodicity for Linear Maps of the Torus	2001	Zeév Rudnick
+ PDF Chat	Arithmetic quantum unique ergodicity for symplectic linear maps of the multidimensional torus	2010	Dubi Kelmer
+ PDF Chat	Correspondence in quasiperiodic and chaotic maps: Quantization via the von Neumann equation	1994	Joshua Wilkie Paul Brumer

Works Cited by This (5)

Action	Title	Year	Authors
+	Ergodic problems of classical mechanics	1968	Владимир Игоревич Арнольд André Avez
+	Periodic Orbits and Classical Quantization Conditions	1971	Martin C. Gutzwiller
+	Bound-State Eigenfunctions of Classically Chaotic Hamiltonian Systems: Scars of Periodic Orbits	1984	Eric J. Heller
+	Ergodicit� et limite semi-classique	1987	Bernard Helffer A. Martinez Didier Robert
+	Exact eigenfunctions for a quantised map	1986	Bruno Eckhardt