Programme

P.32 -- Poster, NCTP-39

Date: Wednesday, 30-07-2014

Time: 14h00 - 15h30

First, second quantizations and q-deformed harmonic oscillator

Man Van Ngu (1) , N.G. Vinh (2), Nguyen. T. Lan (3), L.T.K. Thanh (4), and N.A. Viet(3)

(1) Hung Yen Industrial Colleage; (2) Bac Ninh Department of Education and Training; (3) Institute of Physics, 10 Dao Tan, Ba-Dinh, Hanoi; (4) Hanoi Pedagogical University No. 2

Relations between first, second quantization representations and deform algebra are investigated. In the case of harmonic oscillator, the axiom of first quantization (the commutation relation between coordinate and momentum operators) and the axiom of second quantization (the commutation relation between creation and annihilation operators) are equivalent. We shown that in the case of q-deformed harmonic oscillator, a violence of the axiom of second quantization leads to a violence of the axiom of first quantization, and inverse. Using the coordinate representation, we study fine structures of the vacuum state wave function depend in the deformation parameter q. A comparison with fine structures of Cooper pair of superconductivity in the coordinate representation also is performed.

Presenter: Man Van Ngu