Theory of radiation and absorption of deformed field quanta

Vakarchuk, I. O.

doi:10.5488/cmp.11.3.409

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2015

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“…A composite system problem in the deformed space was also considered [26,27]. Some aspects of field theories were investigated in the deformed space, for example: the electromagnetic field [29,30], a photoelectric phenomenon [31], radiation and absorption of photons for deformed field [32], the Casimir effect for the deformed field [33]. An urgent problem is to find a possible generalization of arbitrary one-dimensional Heisenberg algebra with minimal length (or/and momentum) for multidimensional case [28].…”

Section: Introductionmentioning

confidence: 99%

The theory of a many boson system with the deformed Heisenberg algebra

Vakarchuk¹,

Panochko²

2015

Condens. Matter Phys.

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We propose to consider nonlinear fluctuations in the theory of liquid 4 He deforming the commutation relations between the generalized coordinates and momenta. Generalized coordinates are coefficients of density fluctuations of Bose particles. The deformation parameter takes into account the effects of three-and four-particle correlations in the behavior of a system. This parameter is defined from the experimental values of the elementary excitation spectrum and the structure factor extrapolated to T = 0 K. The numerical estimation of the ground state energy and the Bose condensate fraction is made. The elementary excitation spectrum and the potential of interaction between the helium atoms are recovered.

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