J Schach Moller 1993 J. Phys. A: Math. Gen. 26 4643 doi:10.1088/0305-4470/26/18/028
Second quantization in a quon-algebra
J Schach Moller
Show affiliationsFrom the early days of quantum field theory it has been known that observables from quantum mechanics can be extended to observables in quantum fields: the so-called process of second quantization. The explicit form of the normal ordered expansion series for a second quantized observable is a quadratic form of the creation and annihilation operators. The author considers a quon-algebra described by the q-commutation relation a(x)a+(y)-qa+(y)a(x)=(x,y)I,-1<or=q<or=1, the normal ordered expansion series becomes quite complicated. For infinite statistics, i.e. for q=0, the expansion series is known. He finds the normal ordered expansion series for second-quantized, arbitrary observables.
- PACS
- MSC
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81S05 Commutation relations and statistics
41A58 Series expansions (e.g. Taylor, Lidstone series, but not Fourier series)
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
- Subjects
- Dates
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Issue 18 (21 September 1993)
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Second quantization in a quon-algebra
J Schach Moller 1993 J. Phys. A: Math. Gen. 26 4643
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