The exact eigenstates of the Hamiltonian of a continuum model for heavy-electron metal are constructed by using the Bethe ansatz. The Bethe ansatz equations are obtained from the periodic boundary conditions. The resu...The exact eigenstates of the Hamiltonian of a continuum model for heavy-electron metal are constructed by using the Bethe ansatz. The Bethe ansatz equations are obtained from the periodic boundary conditions. The results show that this system is also completely integrable.展开更多
Employing the coherent state ansatz and the time-dependent variational principle, we obtain a partial differential equation of motion from Hamiltonian in inharmonic molecular crystals. By using the method of multiple ...Employing the coherent state ansatz and the time-dependent variational principle, we obtain a partial differential equation of motion from Hamiltonian in inharmonic molecular crystals. By using the method of multiple scales, we reduce this equation into the envelope function and find that the amplitude function satisfied a nonlinear Schrodinger equation. Introducing the inverse scattering transformation, we gain the single-, two- and N- soliton solutions. The energy and the spatial configurations of the system are given. We also acquire the periodic wave solution and analyze its stability.展开更多
文摘The exact eigenstates of the Hamiltonian of a continuum model for heavy-electron metal are constructed by using the Bethe ansatz. The Bethe ansatz equations are obtained from the periodic boundary conditions. The results show that this system is also completely integrable.
文摘Employing the coherent state ansatz and the time-dependent variational principle, we obtain a partial differential equation of motion from Hamiltonian in inharmonic molecular crystals. By using the method of multiple scales, we reduce this equation into the envelope function and find that the amplitude function satisfied a nonlinear Schrodinger equation. Introducing the inverse scattering transformation, we gain the single-, two- and N- soliton solutions. The energy and the spatial configurations of the system are given. We also acquire the periodic wave solution and analyze its stability.
