含时Lieb-Liniger气体的Fermi-Bose变换
Fermi-Bose transformation for the time-dependent Lieb-Liniger gas
摘要：
构造了描述一维δ相互作用玻色子自由膨胀的Lieb-Liniger（LL）气体的薛定谔方程的精确解。多体波函数是通过变换一个完全反对称（费米子）的时间相关的波函数，它服从薛定谔方程的自由气体。这种变换采用了微分费米玻色映射算子，这取决于相互作用的强度和粒子的数量。
英文摘要：
Exact solutions of the Schrodinger equation describing a freely expanding Lieb-Liniger (LL) gas of delta-interacting bosons in one spatial dimension are constructed. The many-body wave function is obtained by transforming a fully antisymmetric (fermionic) time-dependent wave function which obeys the Schrodinger equation for a free gas. This transformation employs a differential Fermi-Bose mapping operator which depends on the strength of the interaction and the number of particles.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
