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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

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2084937184

Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing

About this item

Full title

Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2013-06

Language

English

Formats

Publication information

Publisher

Ithaca: Cornell University Library, arXiv.org

More information

Scope and Contents

Contents

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\...

Alternative Titles

Full title

Spectral analysis of non-commutative harmonic oscillators: the lowest eigenvalue and no crossing

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2084937184

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2084937184

Other Identifiers

E-ISSN

2331-8422

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