Many-body blow-up profile of boson stars with external potentials

Dinh-Thi, Nguyen (2019): Many-body blow-up profile of boson stars with external potentials. In: Reviews in Mathematical Physics, Vol. 31, No. 10, 1950034

Abstract

We consider a 3D quantum system of N identical bosons in a trapping potential vertical bar x vertical bar(p), with p >= 0, interacting via a Newton potential with an attractive interaction strength a(N). For a fixed large N and the coupling constant a(N) smaller than a critical value a(*) (Chandrasekhar limit mass), in an appropriate sense, the many-body system admits a ground state. We investigate the blow-up behavior of the ground state energy as well as the ground states when a(N) approaches a(*) sufficiently slowly in the limit N -> infinity. The blow-up profile is given by the Gagliardo-Nirenberg solutions.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0129-055X
• Language: English