Sergey M Sergeev 2009 J. Phys. A: Math. Theor. 42 295207 doi:10.1088/1751-8113/42/29/295207
Ground states of the Heisenberg evolution operator in discrete three-dimensional spacetime and quantum discrete BKP equations
Sergey M Sergeev
Show affiliationsIn this paper we consider three-dimensional quantum q-oscillator field theory without spectral parameters. We construct an essentially large set of eigenstates of evolution with unity eigenvalue of discrete time-evolution operator. All these eigenstates belong to a subspace of a total Hilbert space where an action of the evolution operator can be identified with quantized discrete BKP equations (synonym Miwa equations). The key ingredients of our construction are specific eigenstates of a single three-dimensional R-matrix. These eigenstates are boundary states for hidden three-dimensional structures of 
and 
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- PACS
- MSC
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15A18 Eigenvalues, singular values, and eigenvectors
81Txx Quantum field theory; related classical field theories (See also 70Sxx)
- Subjects
- Dates
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Issue 29 (24 July 2009)
Received 23 April 2009
Published 3 July 2009
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Ground states of the Heisenberg evolution operator in discrete three-dimensional spacetime and quantum discrete BKP equations
Sergey M Sergeev 2009 J. Phys. A: Math. Theor. 42 295207
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