Integrable quantum Stäckel systems (Q2345307)

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Language	Label	Description	Also known as
English	Integrable quantum Stäckel systems	scientific article

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scholarly article

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Integrable quantum Stäckel systems (English)

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Maciej Błaszak

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Ziemowit Domański

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Błażej M. Szablikowski

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Artur Sergyeyev

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Physics Letters. A

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publication date

19 May 2015

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full work available at URL

https://arxiv.org/abs/1305.5686

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MaRDI profile type

MaRDI publication profile

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Separable systems with quadratic in momenta first integrals

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Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. I. The completeness and Robertson conditions

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Remarks on the connection between the additive separation of the Hamilton–Jacobi equation and the multiplicative separation of the Schrödinger equation. II. First integrals and symmetry operators

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On separable Schrödinger equations

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Tools for verifying classical and quantum superintegrability

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Separation of variables for bi-Hamiltonian systems

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How to find separation coordinates for the Hamilton--Jacobi equation: A criterion of separability for natural Hamiltonian systems

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Quantum integrable systems constrained on the sphere

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Various quantum mechanical aspects of quadratic forms

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Classical and quantum integrable systems in \(\widetilde{\mathfrak gl}(2)^{+*}\) and separation of variables

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Quantum integrability of quadratic Killing tensors

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Intrinsic characterization of the variable separation in the Hamilton–Jacobi equation

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Maximal superintegrability of Benenti systems

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Exact solvability of superintegrable Benenti systems

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Generalized Stäckel systems

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Natural coordinates for a class of Benenti systems

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How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials

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Stäckel systems generating coupled KdV hierarchies and their finite-gap and rational solutions

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Construction of coupled Harry Dym hierarchy and its solutions from Stäckel systems

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Abelian integrals and the reduction method for an integrable Hamiltonian system

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Generalized Stäckel transform and reciprocal transformations for finite-dimensional integrable systems

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On Reciprocal Equivalence of Stäckel Systems

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Coupling constant metamorphosis as an integrability-preserving transformation for general finite-dimensional dynamical systems and ODEs

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Canonical quantization of classical mechanics in curvilinear coordinates. Invariant quantization procedure

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Identifiers

zbMATH Open document ID

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10.1016/j.physleta.2013.08.005

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2345307

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