Intro to Quantum Mechanics II
A variational inequality is a mathematical framework used to find a function that minimizes a certain functional while satisfying specific inequality constraints. This concept connects deeply with the variational principle, which states that the true state of a physical system can be approximated by finding an optimal solution to a related functional, leading to applications in quantum mechanics and other fields. The formulation often involves energy minimization, allowing physicists to derive important properties of systems and establish fundamental results in quantum theory.
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