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Quantum Mechanics: Theory of physical problems
The bizarre and weird ideas of Quantum mechanics are explained in this module. This section seeks to equip us with the necessary techniques and ideas to solve physical problems in one-dimension.
Note: This is NOT easy, second to GR in my opinion. I'll be around to attend to your questions. If you're lost, comment immediately.-
QM0.1: Postulates of Quantum Mechanics - Duration: 10 minutes.
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QM0.2: Time Evolution of a system - Duration: 3 minutes, 59 seconds.
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QM0.3: Time-Independent Schrödinger Equation - Duration: 10 minutes.
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QM0.4: "Square" Potentials - Duration: 11 minutes.
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QM0.5: Bound States - Properties of one-dimensional motion - Duration: 8 minutes, 47 seconds.
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QM0.6: Unbound States - Properties of one-dimensional motion - Duration: 7 minutes, 58 seconds.
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QM0.7: Solutions to the 2nd-order Differential Equation - Duration: 9 minutes, 44 seconds.
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QM0.8: General Approach in solving problems - Duration: 8 minutes, 36 seconds.
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QM0.9: Wave solutions and Energy levels - Duration: 9 minutes, 28 seconds.
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QM0.10: Continuity and Boundary Conditions - Duration: 7 minutes, 53 seconds.
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QM0.11: Physical Meaning of Wave solutions - Duration: 8 minutes, 26 seconds.
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QM0.12: Stationary States - Duration: 6 minutes, 9 seconds.
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Advanced Differential Calculus
A detailed study into differential calculus. We use fundamental definitions to prove and explain more advance theorems with mathematical rigor.-
Adv Diff Calc 1: Partial Derivatives review - Duration: 10 minutes.
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Adv Diff Calc 2: Note when using four or more variables - Duration: 3 minutes, 27 seconds.
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Adv Diff Calc 3: Evaluation of Partial Derivatives - Duration: 8 minutes, 40 seconds.
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Adv Diff Calc 4: The Total Differential - Duration: 8 minutes, 11 seconds.
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Adv Diff Calc 5: The idea of ∆z and dz - Duration: 3 minutes, 34 seconds.
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Adv Diff Calc 6: Theorem of the Total Differential - Duration: 8 minutes, 57 seconds.
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Adv Diff Calc 7: Fundamental Lemma - Duration: 10 minutes.
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