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 δ-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
\Bibitem{Bul88}
\by V.~L.~Bulatov
\paper Ground state and excitations of a~one-dimensional bose gas on a~finite interval
\jour TMF
\yr 1988
\vol 75
\issue 1
\pages 148--156
\mathnet{http://mi.mathnet.ru/tmf4768}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=955669}
\transl
\jour Theoret. and Math. Phys.
\yr 1988
\vol 75
\issue 1
\pages 433--439
\crossref{https://doi.org/10.1007/BF01017178}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1988U172800013}
Linking options:
https://www.mathnet.ru/eng/tmf4768
https://www.mathnet.ru/eng/tmf/v75/i1/p148
This publication is cited in the following 4 articles:
Maksim D. Tomchenko, “Symmetry properties of the ground state of the system of interacting spinless bosons”, Low Temperature Physics, 48:9 (2022), 651
Maksim Tomchenko, “Exact crystalline solution for a one-dimensional few-boson system with point interaction”, J. Phys. A: Math. Theor., 55:13 (2022), 135203
Mohammad Hafezi, Darrick E. Chang, Vladimir Gritsev, Eugene Demler, Mikhail D. Lukin, “Quantum transport of strongly interacting photons in a one-dimensional nonlinear waveguide”, Phys. Rev. A, 85:1 (2012)
P. N. Bibikov, V. O. Tarasov, “Boundary-value problem for nonlinear Schrödinger equation”, Theoret. and Math. Phys., 79:3 (1989), 570–579
Citation in format AMSBIB
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