Nonlinear corrections in the quantization of a weakly nonideal Bose gas at zero temperature. II. The general case

Abstract

In the present paper, discussion of the canonical quantization of a weakly nonideal Bose gas at zero temperature within the framework of the Bogolyubov approach is continued. Contrary to the previous paper on this subject, here the two-body interaction potential is considered in the general form. It is shown that in such a case consideration of the first nonlinear correction also leads to the automatic particle number conservation without any additional assumptions or modification of the resulting effective Hamiltonian.

30 pages. Supplementary material: the standard Maxima .wxmx file is automatically unpacked by the arXiv upload software, so the .xml file, which can also be processed by Maxima, is uploaded instead. v2: major revision of the text, added references, minor corrections in ancillary files. v3: typos corrected

References in corpus (3)

• Bosonic Particle-Correlated States: A Nonperturbative Treatment Beyond Mean Field
• Analytical computation of quantum corrections to non-topological soliton (bright soliton) within the saddle-point approximation
• Nonlinear corrections in the quantization of a weakly nonideal Bose gas at zero temperature