Master of Science (MS)
Physics and Astronomy
Foucault Pendulum, Foundations of Quantum Mechanics, Lagrangians, Mathematical Physics, Quaternions, Schrodinger Pauli Equation
Quantum physics; Mechanics; Mathematics
We proposed a Quaternionic mechanical system motivated by the Foucault
pendulum as a classical model for the dynamics of the spin 1/2 system. We showed
that this mechanical system contains the dynamics of the spin state of the electron
under a uniform magnetic field as it is given by the Schrodinger-Pauli-Equation
(SPE). We closed with a characterization of the dynamics of this generalized
classical system by showing that it is equivalent with the dynamics of the
Schrodinger Pauli Equation as long as the solutions to the generalized classical
system are roots of the Lagrangian, that is the condition L = 0 holds.
Salazar-Lazaro, Carlos Harold, "Classical Models of the Spin 1/2 System" (2012). Master's Theses. 4251.