Quantum Mechanics I


Quantum Mechanics I

An introduction to Quantum mechanics

[Prerequisites]

The main book used foor this class in Colleges today is Introduction to Quantum Mechanics by David J. Griffiths


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[expandsub3 title=”Chapter Summary Notes”]Summary PDF[/expandsub3]


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[expandsub4 title=”Introduction to quantum mechanics” rel=”submenu-highlander2″]

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[expandsub4 title=”The domain of quantum mechanics” rel=”submenu-highlander2″]

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[expandsub4 title=”Key concepts in quantum mechanics” rel=”submenu-highlander2″]

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[expandsub4 title=”A review of complex numbers” rel=”submenu-highlander2″]

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[expand title=”1.- The Wave Function” rel=”submenu-highlander”]

[expandsub3 title=”Chapter Summary Notes”]Summary PDF[/expandsub3]


[expandsub2 title=”1.1- The Schrodinger Eqaution” rel=”submenu-highlander1″]

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[expandsub2 title=”1.2- The Statistical Interpretation” rel=”submenu-highlander1″]

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[expandsub2 title=”1.3- Probability” rel=”submenu-highlander1″]

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[expandsub4 title=”Probability distributions and their properties” rel=”submenu-highlander2″]

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[expandsub4 title=”Variance of probability distributions” rel=”submenu-highlander2″]

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[expandsub2 title=”1.4- Normalization” rel=”submenu-highlander1″]

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[expandsub4 title=”Normalization of the wavefunction” rel=”submenu-highlander2″]

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[expandsub2 title=”1.5- Momentum” rel=”submenu-highlander1″]

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[expandsub4 title=”Position, velocity, and momentum from the wavefunction” rel=”submenu-highlander2″]

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[expandsub2 title=”1.6- The Uncertainty Principle” rel=”submenu-highlander1″]

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[expandsub4 title=”Introduction to the uncertainty principle” rel=”submenu-highlander2″]

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[expand title=”2.- Time-Dependent Schrodinger Equation” rel=”submenu-highlander”]

[expandsub3 title=”Chapter Summary Notes”]Summary PDF[/expandsub3]


[expandsub2 title=”2.1- Stationary States” rel=”submenu-highlander1″]

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[expandsub4 title=”Separation of variables and the Schrodinger equation” rel=”submenu-highlander2″]

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[expandsub4 title=”Stationary solutions to the Schrodinger equation” rel=”submenu-highlander2″]

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[expandsub4 title=”Superposition of stationary states” rel=”submenu-highlander2″]

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[expandsub2 title=”2.2- The Infinite Square Well” rel=”submenu-highlander1″]

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[expandsub4 title=”Potential functions in the Schrodinger equation” rel=”submenu-highlander2″]

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[expandsub4 title=”Infinite square well (particle in a box)” rel=”submenu-highlander2″]

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[expandsub4 title=”Infinite square well states, orthogonality and completeness (Fourier series)” rel=”submenu-highlander2″]

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[expandsub4 title=”Infinite square well example computations and simulation” rel=”submenu-highlander2″]

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[expandsub2 title=”2.3- The Harmonic Oscillator” rel=”submenu-highlander1″]

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[expandsub4 title=”Quantum harmonic oscillator via ladder operators” rel=”submenu-highlander2″]

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[expandsub4 title=”Quantum harmonic oscillator via power series” rel=”submenu-highlander2″]

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[expandsub2 title=”2.4- The Free Particle” rel=”submenu-highlander1″]

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[expandsub4 title=”Free particles and the Schrodinger equation” rel=”submenu-highlander2″]

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[expandsub4 title=”Free particle wave packets and stationary states” rel=”submenu-highlander2″]

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[expandsub2 title=”2.5- The Delta-Function Potential” rel=”submenu-highlander1″]

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[expandsub4 title=”The Dirac delta function” rel=”submenu-highlander2″]

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[expandsub4 title=”Bound states, scattering states, and tunneling” rel=”submenu-highlander2″]

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[expandsub4 title=”Boundary conditions in the time independent Schrodinger equation” rel=”submenu-highlander2″]

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[expandsub4 title=”The bound state solution to the delta function potential TISE” rel=”submenu-highlander2″]

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[expandsub4 title=”Scattering state solutions to the delta function potential TISE” rel=”submenu-highlander2″]

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[expandsub2 title=”2.6- The Finite Square Well” rel=”submenu-highlander1″]

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[expandsub4 title=”Finite square well bound states” rel=”submenu-highlander2″]

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[expandsub4 title=”Finite square well scattering states” rel=”submenu-highlander2″]

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[expand title=”3.- Formalism” rel=”submenu-highlander”]

[expandsub3 title=”Chapter Summary Notes”]Summary PDF[/expandsub3]


[expandsub2 title=”3.1- Hilbert Space” rel=”submenu-highlander1″]

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[expandsub4 title=”Linear algebra introduction” rel=”submenu-highlander2″]

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[expandsub4 title=”Linear transformations” rel=”submenu-highlander2″]

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[expandsub4 title=”Eigenvectors and eigenvalues” rel=”submenu-highlander2″]

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[expandsub2 title=”3.2- Observables” rel=”submenu-highlander1″]

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[expandsub4 title=”Mathematical formalism in quantum mechanics” rel=”submenu-highlander2″]

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[expandsub2 title=”3.3- Eigenfunctions of a Hermitian Operator” rel=”submenu-highlander1″]

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[expandsub2 title=”3.4- Generalized Statistical Interpretation” rel=”submenu-highlander1″]

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[expandsub4 title=”Statistics in formalized quantum mechanics” rel=”submenu-highlander2″]

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[expandsub2 title=”3.5- The Uncertainty Principle” rel=”submenu-highlander1″]

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[expandsub4 title=”Generalized uncertainty principle” rel=”submenu-highlander2″]

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[expandsub4 title=”Energy-time uncertainty” rel=”submenu-highlander2″]

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[expandsub2 title=”3.6- The Dirac Notation” rel=”submenu-highlander1″]

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[expandsub4 title=”Dirac notation” rel=”submenu-highlander2″]

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[expand title=”4.- Quantum Mechanics in Three Dimensions” rel=”submenu-highlander”]

[expandsub3 title=”Chapter Summary Notes”]Summary PDF[/expandsub3]


[expandsub2 title=”4.1- Schrodinger Equation n Spherical Coordinates” rel=”submenu-highlander1″]

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[expandsub4 title=”Schrodinger equation in 3d” rel=”submenu-highlander2″]

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[expandsub4 title=”From the TISE in 3d to spherical harmonics” rel=”submenu-highlander2″]

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[expandsub4 title=”TISE in 3d radial behavior” rel=”submenu-highlander2″]

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[expandsub2 title=”4.2- The Hydrogen Atom” rel=”submenu-highlander1″]

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[expandsub4 title=”Hydrogen atom radial wavefunctions” rel=”submenu-highlander2″]

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[expandsub4 title=”Hydrogen atom wavefunctions” rel=”submenu-highlander2″]

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[expandsub4 title=”Hydrogen spectrum” rel=”submenu-highlander2″]

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[expandsub2 title=”4.3- Angular Momentum” rel=”submenu-highlander1″]

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[expandsub4 title=”Angular momentum operator algebra” rel=”submenu-highlander2″]

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[expandsub4 title=”Angular momentum eigenfunctions” rel=”submenu-highlander2″]

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[expandsub2 title=”4.4- Spin” rel=”submenu-highlander1″]

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[expandsub4 title=”Spin in quantum mechanics” rel=”submenu-highlander2″]

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[expandsub4 title=”Spin 1/2″ rel=”submenu-highlander2″]

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[expandsub4 title=”Spin 1/2 in a B-field” rel=”submenu-highlander2″]

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[expandsub4 title=”Angular momentum addition” rel=”submenu-highlander2″]

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[expand title=”5.- Identical Particles” rel=”submenu-highlander”]

[expandsub3 title=”Chapter Summary Notes”]Summary PDF[/expandsub3]


[expandsub2 title=”5.1- Two-Particles Systems” rel=”submenu-highlander1″]

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[expandsub4 title=”Exchange forces” rel=”submenu-highlander2″]

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[expandsub2 title=”5.2- Atoms” rel=”submenu-highlander1″]

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[expandsub2 title=”5.3- Solids” rel=”submenu-highlander1″]

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[expandsub4 title=”Free electrons in conductors” rel=”submenu-highlander2″]

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[expandsub4 title=”Band structure of energy levels in solids” rel=”submenu-highlander2″]

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[expandsub2 title=”5.4- Quantum Statistical Mechanics” rel=”submenu-highlander1″]

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