Another physical interpretation of coherent states

Michael Martin Nieto

A physical interpretation of supercoherent states is suggested. It is based upon the observation that an ordinary coherent state is an eigenstate of a specific mode of the radiation field. A supercoherent state is viewed as a photino coherently combined with photons of the same mode. An interpretation of the associated Grassmann-valued numbers of the state is also discussed. 13 refs.

G Chadzitaskos, P Luft, J Tolar

We present a possible construction of coherent states on the unit circle as configuration space. Our approach is based on Borel quantizations on S 1 including the Aharonov–Bohm-type quantum description. Coherent states are constructed by Perelomov's method as group-related coherent states generated by Weyl operators on the quantum phase space . Because of the duality of canonical coordinates and momenta, i.e. the angular variable and the integers, this formulation can also be interpreted as coherent states over an infinite periodic chain. For the construction, we use the analogy with our quantization and coherent states over a finite periodic chain where the quantum phase space was . The coherent states constructed in this work are shown to satisfy the resolution of unity. To compare them with canonical coherent states, some of their further properties are also studied demonstrating similarities as well as substantial differences. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Coherent states: mathematical and physical aspects'.

Alastair Brodlie

Stanislav D. Tvorogov

Yves Bérubé-Lauzière, Véronique Hussin, Luis Miguel Nieto

An alternative way of diagonalizing the Jaynes-Cummings Hamiltonian is proposed and allows the definition of annihilation operators and coherent states for this model. Mean values and dispersions over these states are computed and interpreted. Limiting cases which are physically interesting are also examined.