Abstract:
The Bethe ansatz is used to obtain the wave function of a one-dimensional
bounded system of Bose particles interacting with one another through a two-body $\delta$-function potential. The interaction of the particles with the
surface (the boundaries of the interval) is described by a zero-range
potential. Expressions are obtained for the ground-state energy and for
the spectrum of surface excitations.
Citation:
V. L. Bulatov, “Ground state and excitations of a one-dimensional bose gas on a finite interval”, TMF, 75:1 (1988), 148–156; Theoret. and Math. Phys., 75:1 (1988), 433–439