Solitons in the Quantum Toda Lattice
One-dimensional quantum systems with continuous variables were treated exactly by Bethe’s ansatz beginning with the work of LIEB and LINIGER  and YANG and YANG  on the Bose gas with repulsive delta-function interactions. SUTHERLAND  generalized the method to other integrable systems, where Bethe’s ansatz does not give the exact but only the asymptotic wave functions; however, this is sufficient to obtain the ground state energy and the excitation spectrum.
KeywordsGround State Energy Quantum Fluctuation Hole Excitation Zero Point Motion Classical Soliton
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