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2010•Journal of Zhejiang University(Science Edition)Requires access

A study of harmonic oscillator on non-commutative space.

Kang Li

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Abstract

The properties of 3-dimensional Non-commutative space is briefly studied.By applying the theory to the harmonic oscillator,the operators of space coordinates and momenta is obtained,and the Hamiltonian of the system is also given explicitly.

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The properties of 3-dimensional Non-commutative space is briefly studied.By applying the theory to the harmonic oscillator,the operators of space coordinates and momenta is obtained,and the Hamiltonian of the system is also given explicitly.

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Available abstract

The properties of 3-dimensional Non-commutative space is briefly studied.By applying the theory to the harmonic oscillator,the operators of space coordinates and momenta is obtained,and the Hamiltonian of the system is also given explicitly.

Key concepts: Harmonic oscillator, Commutative property, Mathematics, Space (punctuation), Hamiltonian (control theory), Anharmonicity, Mathematical analysis, Physics

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