Tag: Operator Theory
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Unitarity
Introduction Unitarity, a principle central to quantum mechanics and quantum field theory, is the mathematical expression of the fundamental conservation law in these theories – the conservation of probability. At the most basic level, it guarantees that the total probability of all possible outcomes of a quantum mechanical system is always one. The Basics: Unitary…
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Operator Theory (Quantum Mechanics)
Introduction In quantum mechanics, operator theory is a fundamental tool used to describe physical quantities, such as momentum and energy, and their corresponding operations. The idea behind operators is to provide a mathematical way to describe how quantum systems change and interact. Basic Definitions and Properties An operator, generally denoted by , is a symbol…