Multisymplectic Geometry and Its Applications for the Schrodinger Equation in Quantum Mechanics

Multisymplectic geometry for the Schrödinger equation in quantum mechanics is presented. This formalism of multisymplectic geometry provides a concise and complete introduction to the Schrödinger equation. The Schrödinger equation, its associated energy and momentum evolution equations, and the multisymplectic form are derived directly from the variational principle. Some applications are also explored.