标题： Kadomtsev-Petviashvili方程在孤子区域的量化表示 显示英文标题

标题： Quantized representation for Kadomtsev-Petviashvili equation on the soliton sector

摘要： 利用通过Hirota变换获得的孤子解的已知结构，在粒子的Fock空间上构建了Kadomtsev-Petviashvili(KP)方程在孤子区间的量化表示，这些粒子可以是玻色子或费米子。经典解被映射为一个也满足KP方程的算符。该算符是用粒子数算符构造的。经典孤子解是该算符在Fock空间中多粒子态中的期望值。该算符是特定于方程的，Fock空间中的状态与特定的孤子解一一对应。 显示英文摘要

摘要： Exploiting the known structure of soliton solutions, obtained through the Hirota transformation, a quantized representation of the Kadomtsev-Petviashvili (KP) equation on the soliton sector is constructed over a Fock space of particles, which may be either bosons or fermions. The classical solution is mapped into an operator, which also obeys the KP equation. The operator is constructed in terms of the particle-number operators. Classical soliton solutions are the expectation values of this operator in multi-particle states in the Fock space. The operator is equation-specific and the state in the Fock space is in one-to-one correspondence with the particular soliton solution.