Quantum-mechanical description of spin 1/2 particles and nuclei channeled in bent crystals

Abstract

A general quantum-mechanical description of relativistic spin 1/2 particles and nuclei channeled in bent crystals is presented using the cylindrical system of coordinates. The previously derived Dirac equation in this system is supplemented with terms characterizing anomalous magnetic and electric dipole moments. For the general case, transformation into the Foldy-Wouthhuysen representation is performed, quantum-mechanical equations of the motion of particles and their spins are obtained, and their classical limit is found. The physical nature of the main features of the description of particles and nuclei in the cylindrical system of coordinates is determined.