Hypercomplex Representations of the Heisenberg Group and Mechanics

Vladimir V. Kisil

Type: Article

Publication Date: 2011-10-14

Citations: 23

DOI: https://doi.org/10.1007/s10773-011-0970-0

View Publication

Download PDF

Locations

International Journal of Theoretical Physics - View
arXiv (Cornell University) - View - PDF
White Rose Research Online (University of Leeds) - View - PDF
DataCite API - View

Similar Works

Action	Title	Year	Authors
+	Erlangen Programme at Large 3.2: Ladder Operators in Hypercomplex Mechanics	2011	Vladimir V. Kisil
+ PDF Chat	Erlangen Programme at Large 3.2 Ladder Operators in Hypercomplex Mechanics	2011	Vladimir V. Kisil
+ PDF Chat	Symmetry, Geometry and Quantization with Hypercomplex Numbers	2017	Vladimir V. Kisil
+	Observables and States p-Mechanics	2003	Alastair Brodlie Vladimir V. Kisil
+	Observables and States p-Mechanics	2003	Alastair Brodlie Vladimir V. Kisil
+ PDF Chat	Erlangen Programme at Large 3.2 Ladder Operators in Hypercomplex Mechanics	2011	Vladimir V. Kisil
+	Groupes, invariants et géométries dans l'œuvre de Weyl : Une étude des écrits de Hermann Weyl en mathématiques, physique mathématique et philosophie, 1910-1931	2011	Christophe Eckes
+	Symplectic Group, Quantum Mechanics and Anosov’s Systems	1980	André Avez
+	Physical theories in hypercomplex geometric description	2014	А. P. Yefremov
+	Applications of p-adic Numbers to well understood Quantum Mechanics: With a focus on Weyl Systems and the Harmonic Oscillator	2012	Haakon Bakka
+	Deformation quantization in the teaching of Lie group representations	2017	Alexander J. Balsomo Job A. Nable
+	Deformation quantization in the teaching of Lie group representations	2017	Alexander J. Balsomo Job A. Nable
+	Géométrie du groupe de Heisenberg	2024	Pierre Pansu
+ PDF Chat	p-Mechanics and field theory	2005	Vladimir V. Kisil
+	The Geometry of Heisenberg Groups	2008	Ernst Binz Sonja Pods
+	Hypercomplex Group Theory	1997	Stefano De Leo
+	Geometric mechanics on the Heisenberg group	2008	Ovidiu Calin Der‐Chen Chang Peter Greiner
+	Mathematical Foundations of Geometric Quantization	1999	Arturo Echeverria-Enrı́quez Miguel C. Muñoz-Lecanda Narciso Román‐Roy C. Victoria-Monge
+	Mathematical Foundations of Geometric Quantization	1999	Arturo Echeverria-Enrı́quez Miguel C. Muñoz-Lecanda Narciso Román‐Roy C. Victoria-Monge
+	A remark on a group-theoretical formalism for quantum mechanics and the correspondence principle	2006	J. K. Korbicz Maciej Lewenstein

Works That Cite This (21)

Action	Title	Year	Authors
+ PDF Chat	Induced Representations and Hypercomplex Numbers	2012	Vladimir V. Kisil
+ PDF Chat	Geometric dynamics of a harmonic oscillator, arbitrary minimal uncertainty states and the smallest step 3 nilpotent Lie group	2018	Fadhel Almalki Vladimir V. Kisil
+ PDF Chat	Uncertainty and Analyticity	2015	Vladimir V. Kisil
+ PDF Chat	Calculus of Operators: Covariant Transform and Relative Convolutions	2014	Vladimir V. Kisil
+ PDF Chat	Metamorphism as a covariant transform for the SSR group	2023	Taghreed Alqurashi Vladimir V. Kisil
+ PDF Chat	Cross-Toeplitz operators on the Fock–Segal–Bargmann spaces and two-sided convolutions on the Heisenberg group	2023	Vladimir V. Kisil
+ PDF Chat	Erlangen Program at Large-1: Geometry of Invariants	2010	Vladimir V. Kisil
+ PDF Chat	Higher Spin Quaternion Waves in the Klein-Gordon Theory	2012	S. Ulrych
+ PDF Chat	Integral theorems in finite-dimensional commutative algebra	2023	С. А. Плакса Vitaliy Shpakivskiy
+	Transmutations from the Covariant Transform on the Heisenberg Group and an Extended Umbral Principle	2023	Vladimir V. Kisil

Works Cited by This (69)

Action	Title	Year	Authors
+	The Mathematics of Minkowski Space-Time: With an Introduction to Commutative Hypercomplex Numbers	2008	Francesco Catoni Roberto Cannata Dino Boccaletti
+	Noninertial Symmetry Group of Hamilton's Mechanics	2009	Stephen G. Low
+ PDF Chat	Erlangen Programme at Large 3.2 Ladder Operators in Hypercomplex Mechanics	2011	Vladimir V. Kisil
+	Nilpotent Lie Groups in Clifford Analysis: Five Directions for Research	2000	Vladimir V. Kisil
+ PDF Chat	Spectrum as the Support of Functional Calculus	2004	Vladimir V. Kisil
+	Quantum and Classic Brackets	2000	Vladimir V. Kisil
+	Introduction to the Theory of Representations and Noncommutative Harmonic Analysis	1994	A. A. Kirillov
+	Applied Nonstandard Analysis	1977	Martin Davis
+	New Lagrangian and Hamiltonian Methods in Field Theory	1997	G. Giachetta L. Mangiarotti G. Sardanashvily
+	Erlangen Program at Large-0: Starting with the group SL(2,R)	2006	Vladimir V. Kisil