Quantum Mechanics for Scientists and Engineers (Stanford, 2015)

Quantum Mechanics for Scientists and Engineers (Stanford, 2015)

English | Size: 6.59 GB (7,073,526,180 Bytes)
Category: CBTs

Complete course:
– videos;
– subs (separate files);
– slides (separate pdf files);
– quizzes;
– answers for quizzes;
– reference.

Content:

Background mathematics review
Introduction to background mathematics
Background Mathematics Pretest
M1 – Basic symbols and algebra notations
M2 – Powers, logs, exponentials, and complex numbers
M3 – Coordinates and vectors
M4 – Differential calculus
M5 – Sums, products and power series
M6 – Partial differentiation
M7 – Differential equations
M8 – Integral calculus
M9 – Matrices
M10 – Matrix eigenequations
Background Math Slides

Week 1
1.1 Introduction to quantum mechanics
1.2 Classical mechanics, oscillations and waves
1.3 Week 1 Assignment

Week 2
2.1 Wave propagation
2.2 Schroedinger’s wave equation
2.3 Particle in a box
2.4 Week 2 Assignment

Week 3
3.1 Particles and barriers
3.2 Finite well and harmonic oscillator
3.3 The time-dependent Schrödinger equation
3.4 Week 3 Assignment

Week 4
4.1 Time evolution of superpositions
4.2 Wavepackets
4.3 Measurement and expectation values
4.4 Week 4 Assignment

Week 5
5.1 Uncertainty principle and particle current
5.2 Functions and Dirac notation
5.3 Vector spaces, operators and matrices
5.4 Week 5 Assignment

Week 6
6.1 Types of linear operators
6.2 Unitary and Hermitian operators
6.3 Operators and quantum mechanics
6.4 Week 6 Assignment

Week 7
7.1 Angular momentum
7.2 The L squared operator
7.3 The hydrogen atom
7.4 Week 7 Assignment

Week 8
8.1 The hydrogen atom solutions
8.2 Approximation methods
8.3 Perturbation theory
8.4 Week 8 Assignment

Week 9
9.1 Tight binding and variational models
9.2 Time-dependent perturbation theory
9.3 Applying time-dependent perturbation theory
9.4 Week 9 Assignment

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