Mathematical Structure of Magnons in Quantum Ferromagnets

Abstract

We provide the mathematical structure and a simple, transparent and rigorous derivation of the magnons as elementary quasi-particle excitations at low temperatures and in the infinite spin limit for a large class of Heisenberg ferromagnets. The magnon canonical variables are obtained as fluctuation operators in the infinite spin limit. Their quantum character is governed by the size of the magnetization.

Cited by in corpus (4)

• Central limit theorems for the large-spin asymptotics of quantum spins
• Dissipative Dynamics of Quantum Fluctuations
• The spectral gap for the ferromagnetic spin-J XXZ chain
• The large-spin asymptotics of the ferromagnetic XXZ chain