Position-dependent finite symmetric mass harmonic like oscillator: Classical and quantum mechanical study

We formulated the oscillators with position-dependent finite symmetric decreasing and increasing mass. The classical phase portraits of the systems were studied by analytical approach (He’s frequency formalism). We also study the quantum mechanical behaviour of the system and plot the quantum mechan...

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Autores principales:	Rath Biswanath, Mallick Pravanjan, Mohapatra Prachiprava, Asad Jihad, Shanak Hussein, Jarrar Rabab
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	position-dependent mass harmonic oscillator classical mechanics quantum mechanics Physics QC1-999
Acceso en línea:	https://doaj.org/article/ebd3cca5f47645c4a14024911a1524f2
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spelling	oai:doaj.org-article:ebd3cca5f47645c4a14024911a1524f22021-12-05T14:11:01ZPosition-dependent finite symmetric mass harmonic like oscillator: Classical and quantum mechanical study2391-547110.1515/phys-2021-0024https://doaj.org/article/ebd3cca5f47645c4a14024911a1524f22021-05-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0024https://doaj.org/toc/2391-5471We formulated the oscillators with position-dependent finite symmetric decreasing and increasing mass. The classical phase portraits of the systems were studied by analytical approach (He’s frequency formalism). We also study the quantum mechanical behaviour of the system and plot the quantum mechanical phase space for necessary comparison with the same obtained classically. The phase portrait in all the cases exhibited closed loop reflecting the stable system but the quantum phase portrait exhibited the inherent signature (cusp or kink) near origin associated with the mass. Although the systems possess periodic motion, the discrete eigenvalues do not possess any similarity with that of the simple harmonic oscillator having m = 1.Rath BiswanathMallick PravanjanMohapatra PrachipravaAsad JihadShanak HusseinJarrar RababDe Gruyterarticleposition-dependent massharmonic oscillatorclassical mechanicsquantum mechanicsPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 266-276 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	position-dependent mass harmonic oscillator classical mechanics quantum mechanics Physics QC1-999
spellingShingle	position-dependent mass harmonic oscillator classical mechanics quantum mechanics Physics QC1-999 Rath Biswanath Mallick Pravanjan Mohapatra Prachiprava Asad Jihad Shanak Hussein Jarrar Rabab Position-dependent finite symmetric mass harmonic like oscillator: Classical and quantum mechanical study
description	We formulated the oscillators with position-dependent finite symmetric decreasing and increasing mass. The classical phase portraits of the systems were studied by analytical approach (He’s frequency formalism). We also study the quantum mechanical behaviour of the system and plot the quantum mechanical phase space for necessary comparison with the same obtained classically. The phase portrait in all the cases exhibited closed loop reflecting the stable system but the quantum phase portrait exhibited the inherent signature (cusp or kink) near origin associated with the mass. Although the systems possess periodic motion, the discrete eigenvalues do not possess any similarity with that of the simple harmonic oscillator having m = 1.
format	article
author	Rath Biswanath Mallick Pravanjan Mohapatra Prachiprava Asad Jihad Shanak Hussein Jarrar Rabab
author_facet	Rath Biswanath Mallick Pravanjan Mohapatra Prachiprava Asad Jihad Shanak Hussein Jarrar Rabab
author_sort	Rath Biswanath
title	Position-dependent finite symmetric mass harmonic like oscillator: Classical and quantum mechanical study
title_short	Position-dependent finite symmetric mass harmonic like oscillator: Classical and quantum mechanical study
title_full	Position-dependent finite symmetric mass harmonic like oscillator: Classical and quantum mechanical study
title_fullStr	Position-dependent finite symmetric mass harmonic like oscillator: Classical and quantum mechanical study
title_full_unstemmed	Position-dependent finite symmetric mass harmonic like oscillator: Classical and quantum mechanical study
title_sort	position-dependent finite symmetric mass harmonic like oscillator: classical and quantum mechanical study
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/ebd3cca5f47645c4a14024911a1524f2
work_keys_str_mv	AT rathbiswanath positiondependentfinitesymmetricmassharmoniclikeoscillatorclassicalandquantummechanicalstudy AT mallickpravanjan positiondependentfinitesymmetricmassharmoniclikeoscillatorclassicalandquantummechanicalstudy AT mohapatraprachiprava positiondependentfinitesymmetricmassharmoniclikeoscillatorclassicalandquantummechanicalstudy AT asadjihad positiondependentfinitesymmetricmassharmoniclikeoscillatorclassicalandquantummechanicalstudy AT shanakhussein positiondependentfinitesymmetricmassharmoniclikeoscillatorclassicalandquantummechanicalstudy AT jarrarrabab positiondependentfinitesymmetricmassharmoniclikeoscillatorclassicalandquantummechanicalstudy
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Position-dependent finite symmetric mass harmonic like oscillator: Classical and quantum mechanical study

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