Tag: Operator
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Chapter 17: Introduction to Quantum Mechanics
17.1 Quantum Mechanics Overview Quantum mechanics is the branch of physics that deals with the behavior of particles at the atomic and subatomic levels. It emerged in the early 20th century as a response to the limitations of classical mechanics and electromagnetism, which failed to describe the observed behavior of particles at the microscopic scale.…
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Ehrenfest’s Theorem
Introduction Ehrenfest’s theorem is a fundamental principle in quantum mechanics that reveals a deep connection between quantum mechanics and classical mechanics. It essentially bridges the gap between the quantum and classical descriptions of physical systems. Basics of Ehrenfest’s Theorem Ehrenfest’s theorem states that the average value of an observable (such as position or momentum) in…
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Chapter 6: The Gradient Operator
6.1 Introduction to the Gradient Operator The gradient operator () is a vector differential operator that helps understand how a scalar field changes in space. In the context of electric potential, the gradient operator allows us to find the electric field given the electric potential. 6.2 The Gradient Operator Defined The gradient operator is defined…