174 research outputs found
Quantum Diagonalization Method in the Tavis-Cummings Model
To obtain the explicit form of evolution operator in the Tavis-Cummings model
we must calculate the term explicitly which is very hard. In this paper we try to make the
quantum matrix diagonal to
calculate and, moreover, to know a deep structure of the model.
For the case of one, two and three atoms we give such a diagonalization which
is first nontrivial examples as far as we know, and reproduce the calculations
of given in quant-ph/0404034. We also give a hint to an
application to a noncommutative differential geometry.
However, a quantum diagonalization is not unique and is affected by some
ambiguity arising from the noncommutativity of operators in quantum physics.
Our method may open a new point of view in Mathematical Physics or Quantum
Physics.Comment: Latex files, 21 pages; minor changes. To appear in International
Journal of Geometric Methods in Modern Physic
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