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Non-Commutative Harmonic Oscillators¶and Fuchsian Ordinary Differential Operators

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Abstract:

The spectral problem for non-commutative harmonic oscillators is shown to be equivalent to solve Fuchsian ordinary differential equations with four regular singular points in a complex domain.

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Authors and Affiliations

  1. Department of Mathematics, Kyushu University, Fukuoka 812-0053, Japan.¶E-mail: ochiai@math.kyushu-u.ac.jp, , , , , , JP

    H. Ochiai

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  1. H. Ochiai
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Received: 11 July 1998 / Accepted: 11 October 2000

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Ochiai, H. Non-Commutative Harmonic Oscillators¶and Fuchsian Ordinary Differential Operators. Commun. Math. Phys. 217, 357–373 (2001). https://doi.org/10.1007/s002200100362

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  • DOI: https://doi.org/10.1007/s002200100362

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