Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing
Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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The lowest eigenvalue of non-commutative harmonic oscillators \(Q\) is studied. It is shown that \(Q\) can be decomposed into four self-adjoint operators, and all the eigenvalues of each operator are simple. We show that the lowest eigenvalue \(E\) of \(Q\) is simple. Furthermore a Jacobi matrix representation of \(Q\) is given and spectrum of \(Q\...
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Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing
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TN_cdi_proquest_journals_2084937184
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2084937184
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2331-8422