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Explore the intricacies of quantum mechanics through this comprehensive lecture series. Delve into the quantum harmonic oscillator, understand the behavior of free particles in the context of the Schrödinger equation, and examine the nature of wave packets and stationary states. Finally, gain insight into the Dirac delta function and its pivotal role in quantum mechanics.
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Table of contents:
0:00:00 Quantum harmonic oscillator via ladder operators
0:37:26 Quantum harmonic oscillator via power series
1:25:37 Free particles and the Schrodinger equation
1:39:55 Free particle wave packets and stationary states
2:15:51 Free particle wave packet example
2:24:47 The Dirac delta function
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