Quantization of the Liénard II equation and Jacobi’s last multiplier

DOI10.1088/1751-8113/46/16/165202zbMath1276.81078OpenAlexW2022156556MaRDI QIDQ4923707

Partha Guha, Anindya Ghose Choudhury

Publication date: 24 May 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/46/16/165202

zbMATH Keywords

quantizationLiénard equationJacobi's last multiplier

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Groups and algebras in quantum theory and relations with integrable systems (81R12) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

Related Items (10)

Nonlinear dynamics of classical counterpart of the generalized quantum nonlinear oscillator driven by position dependent mass ⋮ The inverse problem of a mixed Liénard-type nonlinear oscillator equation from symmetry perspective ⋮ Lie point symmetries classification of the mixed Liénard-type equation ⋮ A note on deriving linearizing transformations for a class of second order nonlinear ordinary differential equations ⋮ Quantization of quadratic Liénard-type equations by preserving Noether symmetries ⋮ Position-Dependent Mass Systems: Classical and Quantum Pictures ⋮ Ubiquitous symmetries ⋮ Branched Hamiltonians and time translation symmetry breaking in equations of the Liénard type ⋮ Removal of ordering ambiguity for a class of position dependent mass quantum systems with an application to the quadratic Liénard type nonlinear oscillators ⋮ On quantized Liénard oscillator and momentum dependent mass

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