2001/07/11 by Ali Mostafazadeh
Mathematics · Physics and Astronomy · #Dipole #Heisenberg model #Invariant (physics) #Magnetic field #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #Spin (aerodynamics) #Spins #quant-ph
paper · pdf · doi:10.1016/s0375-9601(01)00476-5
published as Phys. Lett. A 287 (2001) 187-189 · Accepted for publication in Phys. Lett. A
arxiv created 2001/07/11 · openalex publication_date 2001/08/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We consider a class of general spin Hamiltonians of the form Hs(t)=H0(t)+H'(t) where H0(t) and H'(t) describe the dipole interaction of the spins with an arbitrary time-dependent magnetic field and the internal interaction of the spins, respectively. We show that if H'(t) is rotationally invariant, then Hs(t) admits the same dynamical invariant as H0(t). A direct application of this observation is a straightforward rederivation of the results of Yan et al [Phys. Lett. A, Vol: 251 (1999) 289 and Vol: 259 (1999) 207] on the Heisenberg spin system in a changing magnetic field.