An algebraic approach to the generalization of n-dimensional coupled harmonic oscillators system | Zendy

Jin Ming-Jie | Zendy; Lei Tan | Zendy

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An algebraic approach to the generalization of n-dimensional coupled harmonic oscillators system

Author(s) -

Jin Ming-Jie,

Lei Tan

Publication year - 2012

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.61.140301

Subject(s) - eigenfunction , hamiltonian (control theory) , eigenvalues and eigenvectors , generalization , harmonic oscillator , algebraic number , decoupling (probability) , commutation , quadratic equation , hamiltonian system , physics , mathematics , mathematical physics , mathematical analysis , quantum mechanics , voltage , mathematical optimization , geometry , control engineering , engineering

Using the quadratic form theory, we achieve the decoupling of systematic Hamiltonian of generalization of n-dimensional coupled harmonic oscillators and derive the diagonalized Hamiltonian by three linear transformations with keeping the commutation relations unchanged. The energy eigenvalue and the eigenfunction of the system are also obtained.

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