Solutions of the threemagnon bound state equation. III. The physical eigenstate
Abstract
The physical eigenvalue and eigenfunction are found analytically by directly solving the threemagnon bound state equation in one dimension. The structure of the equation suggests a simple ansatz for the eigenfunction, and the calculation is reduced to the solution of a finite number of linear algebraic equations. The method is elementary, but the explicit solution is found after a long calculation. The connection of the wavefunction with previous results is also established.
 Publication:

Journal of Mathematical Physics
 Pub Date:
 October 1978
 DOI:
 10.1063/1.523551
 Bibcode:
 1978JMP....19.2187M
 Keywords:

 75.30.m;
 Intrinsic properties of magnetically ordered materials