Multisymplectic Geometry and Its Appiications for the Schr(o)dinger Equation in Quantum Mechanics
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摘要:
Multisymplectic geometry for the Schr(o)dinger equation in quantum mechanics is presented. This formalism of multisymplectic geometry provides a concise and complete introduction to the Schr(o)dinger equation. The Schr(o)dinger equation, its associated energy and momentum evolution equations, and the multisymplectic form are derived directly from the variational principle. Some applications are also explored.