Algebraic Construction of Associated Functions of Nondiagonalizable Models with Anharmonic Oscillator Complex Interaction

Ian Marquette, C. Quesne

Type: Article

Publication Date: 2022-11-30

Citations: 1

DOI: https://doi.org/10.1016/s0034-4877(22)00077-5

View Publication

Download PDF

Locations

Reports on Mathematical Physics - View
arXiv (Cornell University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Algebraic construction of associated functions of nondiagonalizable models with anharmonic oscillator complex interaction	2021	Ian Marquette C. Quesne
+	Lie-algebraic structure of 2D harmonic oscillator with non-separable complex coupling	2011	Asish Ganguly Suman De
+	Lie Algebraic Method for Generating Certain Harmonic Oscillator-Like Functions	2024	Mohannad J. S. Shahwan
+ PDF Chat	A finite quantum oscillator model related to special sets of Racah polynomials	2017	Roy Oste J. Van der Jeugt
+	Introduction to algebraic integrable systems and their Painlevé analysis	1989	Pierre van Moerbeke
+ PDF Chat	Adelic model of harmonic oscillator	1994	Бранко Драгович
+	PHASE STRUCTURE OF THE NON-LINEAR σ-MODEL WITH OSCILLATOR REPRESENTATION METHOD	2004	Yuriy Mishchenko Chueng-R. Ji
+	Complex Hamiltonian systems on ℂ2 with Hamiltonian function of low laurent degree	2015	Nikolay Martynchuk
+ PDF Chat	On algebraic construction of certain integrable and super-integrable systems	2011	Andrzej J. Maciejewski Maria Przybylska A. V. Tsiganov
+ PDF Chat	Algebraic Treatment of 𝓟𝓣-Symmetric Coupled Oscillators	2014	Francisco M. Fernández
+	Friedrichs systems (with complex coefficients)	2015	Nenad Antonić Krešimir Burazin Marko Erceg Ivana Vuksanović
+	Minimal models of nonreciprocity with biharmonic pumps	2017	Archana Kamal A. Metelmann
+	Integrable Hamiltonian systems with two degrees of freedom associated with holomorphic functions	2000	C. Doss-Bachelet Jean–Pierre Françoise
+	Weighted Green functions of polynomial skew products on $\mathbbm{C}^2$ (Integrated Research on Complex Dynamics and its Related Fields)	2010	康平上野
+	Weighted Green functions of polynomial skew products on $\mathbbm{C}^2$ (Integrated Research on Complex Dynamics and its Related Fields)	2010	Kohei Ueno
+	Algebraic structure of certain integrable hamiltonian systems	1984	А. Т. Фоменко
+	Geometric description and semiclassical spectral series for Calogero -- Strocci systems	2003	А. И. Шафаревич
+	Fourier Method for an Over–Determined Elliptic System with Several Complex Variables	2005	Dao Qing Dai
+	Solution of Reducible Quintic Equation by Properties of Continuous Function	2016	R. B. Ram
+ PDF Chat	QUARTIC ANHARMONIC MANY-BODY OSCILLATOR	2005	Alexander V. Turbiner

Works That Cite This (1)

Action	Title	Year	Authors
+ PDF Chat	Dynamical symmetry algebras of two superintegrable two-dimensional systems	2022	Ian Marquette C. Quesne

Works Cited by This (12)

Action	Title	Year	Authors
+ PDF Chat	Erratum: Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians [J. Math. Phys. <b>43</b>, 6343 (2002)]	2003	Alí Mostafazadeh
+ PDF Chat	Pseudo-Hermiticity for a class of nondiagonalizable Hamiltonians	2002	Alí Mostafazadeh
+	Spectral singularities and quasi-exactly solvable quantal problem	1987	Alexander V. Turbiner A.G. Ushveridze
+ PDF Chat	Introduction to 𝒫𝒯-symmetric quantum theory	2005	Carl M. Bender
+ PDF Chat	New methods for the two-dimensional Schrödinger equation: SUSY-separation of variables and shape invariance	2002	F. Cannata M. V. Ioffe D. N. Nishnianidze
+ PDF Chat	Supersymmetry and quantum mechanics	1995	Fred Cooper Avinash Khare U. Sukhatme
+ PDF Chat	Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian	2002	Alí Mostafazadeh
+	Ladder operators and hidden algebras for shape invariant nonseparable and nondiagonalizable models with quadratic complex interaction. I. Two-dimensional model	2020	Ian Marquette C. Quesne
+ PDF Chat	One-dimensional quasi-exactly solvable Schrödinger equations	2016	Alexander V. Turbiner
+ PDF Chat	Equidistance of the complex two-dimensional anharmonic oscillator spectrum: the exact solution	2012	F. Cannata M. V. Ioffe D. N. Nishnianidze