Introduction to Quantum Mechanics
1.Why Quantum Mechanics?
2.The Double Slit Experiment
3.Wave function and Probabilities
4.Momentum and Planck's constant
5.Schrödinger's Equation
6.The Hilbert Space
7.Hermitian Operators
8.The Spectrum of a Hermitian Operator
9.Postulates of Quantum Mechanics
10.Commutators and Uncertainty Principle
11.Energy Revisited
12.Stationary states
13.Case Study: The Free Particle
14.Two-particle systems
15.Simple Harmonic Oscillator
16.The Continuity Equation
17.Scattering Problems
18.Tunnelling
19.Momentum-space Wave function
20.Ehrenfest's Theorem
21.Bibliography
21.Bibliography
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[1]
Michael Reed, Barry Simon, “Methods of Modern Mathematical Physics”,
[2]
Jacques Distler, Sonia Paban, “Uncertainties in successive measurements”, Physical Review A 87 (2013)
[3]
Jon Maestri, Rubin Landau, Manuel Páez, “Two-particle Schrödinger equation animations of wave packet–wave packet scattering”, American Journal of Physics 68 (2000) 1113–1119.
[4]
Ramamurti Shankar, “Principles of quantum mechanics”,
[5]
Paul Ehrenfest, “Bemerkung über die angenäherte Gültigkeit der klassischen Mechanik innerhalb der Quantenmechanik”, Z. Phys. 45 (1927) 455-457.
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