Noether symmetries and the quantization of a Liénard-type nonlinear oscillator
نویسندگان
چکیده
The classical quantization of a Lienard-type nonlinear oscillator is achieved by scheme (M. C. Nucci. Theor. Math. Phys., 168:994–1001, 2011) that preserves the Noether point symmetries underlying Lagrangian in order to construct Schrodinger equation. This method straightforwardly yields equation momentum space as given (V. Chithiika Ruby, M. Senthilvelan, and Lakshmanan. J. Phys. A: Gen., 45:382002, 2012), sheds light on apparently remarkable connection with linear harmonic oscillator.
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چکیده ندارد.
Quantization of quadratic Liénard-type equations by preserving Noether symmetries
The classical quantization of a family of a quadratic Liénard-type equation (Liénard II equation) is achieved by a quantization scheme (M. C. Nucci. Theor. Math. Phys., 168:994– 1001, 2011) that preserves the Noether point symmetries of the underlying Lagrangian in order to construct the Schrödinger equation. This method straightforwardly yields the Schrödinger equation as given in (A. Ghose Ch...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: ['1776-0852', '1402-9251']
DOI: https://doi.org/10.1080/14029251.2014.905299