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AbstractAbstract
[en] The q-analogue coherent states |z >q are used to identify physical signatures for the presence of a q-analogue quantized radiation field in the | >q classical limit where |z| is large. In this quantum-optics-like limit, the fractional uncertainties of most physical quantities (momentum, position, amplitude, phase) which characterize the quantum field are O(1). They only vanish as O(1/|z|) when q = 1. However, for the number operator, N, and the N-Hamiltonian for a free q-boson gas, HN = ℎω(N + 1/2), the fractional uncertainties do still approach zero. A signature for q-boson counting statistics is that (ΔN)2/< N> → 0 as |z| → ∞. Except for its O(1) fractional uncertainty, the q-generalization of the Hermitian phase operator of Pegg and Barnett, φq, still exhibits normal classical behavior. The standard number-phase uncertainty-relation, ΔN Δφq = 1/2, and the approximate commutation relation, [N,φq] = i, still hold for the single-mode q-analogue quantized field. So, N and φq are almost canonically conjugate operators in the |z >q classical limit. The |z >q CS's minimize this uncertainty relation for moderate |z|2
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1994; 7 p; Workshop on harmonic oscillators; Cocoyoc (Mexico); 23-25 Mar 1994; CONF-9403139--2; CONTRACT FG02-86ER40291; Also available from OSTI as DE95005925; NTIS; US Govt. Printing Office Dep
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