Regularized trace of a two-dimensional harmonic oscillator (Q2784551)
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scientific article; zbMATH DE number 1732476
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularized trace of a two-dimensional harmonic oscillator |
scientific article; zbMATH DE number 1732476 |
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Regularized trace of a two-dimensional harmonic oscillator (English)
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2 June 2002
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Schrödinger operator
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regularized trace for the eigenvalues
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0.9789869
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0.8922306
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0.8782573
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0.86964905
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0.8675597
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The authors investigate the spectrum of an operator \(H\) in \(L^2({\mathbb R}^2)\) of the form \(-\Delta + (x_1^2+x_2^2)I + V,\) where \(V\) is the operator of multiplication by a bounded measurable real-valued function with compact support. NEWLINENEWLINENEWLINEThey obtain various properties of the spectrum, and a classical formula for the regularized trace for the eigenvalues of \(H.\)
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