Sébastien Dusuel and Götz S Uhrig 2004 J. Phys. A: Math. Gen. 37 9275 doi:10.1088/0305-4470/37/39/014
The quartic oscillator: a non-perturbative study by continuous unitary transformations
Sébastien Dusuel1,3 and Götz S Uhrig1,2
Show affiliationsThe quantum quartic oscillator is investigated in order to test the many-body technique of the continuous unitary transformations. The quartic oscillator is sufficiently simple to allow a detailed study and comparison of various approximation schemes. Due to its simplicity, it can be used as a pedagogical introduction to the unitary transformations. Both the spectrum and the spectral weights are discussed.
- PACS
- MSC
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81V70 Many-body theory; quantum Hall effect
- Subjects
- Dates
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Issue 39 (1 October 2004)
Received 8 May 2004, in final form 13 August 2004
Published 15 September 2004
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The quartic oscillator: a non-perturbative study by continuous unitary transformations
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