2007/11/01 by A. D. Ribeiro, Marcus A. M. de Aguiar, M. A. M. de Aguiar +1
Physics and Astronomy · Chemistry · #Quantum chaos and dynamical systems #Advanced NMR Techniques and Applications #Molecular spectroscopy and chirality
paper · doi:10.1063/1.2806487
We present a detailed derivation of the trace formula for a general Hamiltonian with two degrees of freedom where one of them is canonical and the other a spin. Our derivation starts from the semiclassical formula for the propagator in a basis formed by the product of a canonical and a spin coherent states and is valid in the limit ℏ→0, j→∞ with jℏ constant. The trace formula, obtained by taking the trace and the Fourier transform of the coherent state propagator, is compared to others found in the literature.