A Complete Perturbative Expansion for Constrained Quantum Dynamics
P. Maraner
TL;DR
This paper develops a comprehensive perturbative method to analyze the quantum dynamics of systems constrained to arbitrary submanifolds, providing a systematic approach for such complex quantum systems.
Contribution
It introduces a complete perturbative expansion for the Hamiltonian of constrained quantum systems, extending previous methods to arbitrary submanifolds.
Findings
Provides a systematic framework for constrained quantum dynamics.
Enables precise perturbative calculations for systems on complex submanifolds.
Facilitates future research in quantum systems with geometric constraints.
Abstract
A complete perturbative expansion for the Hamiltonian describing the motion of a quantomechanical system constrained to move on an arbitrary submanifold of its configuration space is obtained.
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