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Let's Talk Quantum Mechanics
Uncertainty Principle and Minimum Uncertainty Wave Packet
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In the third episode, I derive the famous Heisenberg's uncertainty for position and momentum. Using this, I then derive what is known as a minimum uncertainty wave packet. We explore together a wide variety of mathematics, and in particular, demonstrate applications involving expectation value calculations.
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1. Schrödinger Equation and related concepts: Introductory discussion
40:36||Ep. 1Introduction to this new podcast series, followed by a discussion of prerequisites. In this inaugural episode, I discuss the Schrödinger equation and it's interpretation in both position and momentum space.2. Ehrenfest's Theorem and Discussion of Operators
43:28||Ep. 2In this second episode, I build upon the equations for expectation values from the previous (first) episode to derive Ehrenfest's theorem and its generalization. I also discuss some basic properties of operators and commutators.