K Ikeda 1994 J. Phys. A: Math. Gen. 27 5969 doi:10.1088/0305-4470/27/17/028
The commutativity of quantized first- and higher-order Hamiltonians
K Ikeda
Show affiliationsThe key point of the Hamiltonian formalism of Toda molecules is the commutativity of the Hamiltonians (tr yk, tr yl)=0, where y in GL(n) and (,) is a Poisson bracket associated with the classical r-matrix. To quantize the Toda molecule, we have to consider the q-analogue of the above formula. In this paper, we show the commutativity of the quantized first- and higher-order Hamiltonians (trq Xm, trq X)=0, where X is a matrix of quantum group GLq(n).
- PACS
- MSC
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81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
- Subjects
- Dates
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Issue 17 (7 September 1994)
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The commutativity of quantized first- and higher-order Hamiltonians
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