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Learn the fundamentals of quantum physics and test your knowledge with 100+ practice problems.

What you will learn

Gain an understanding of the fundamental concepts within quantum physics.

Develop the mathematical skills required to appreciate high-level physics.

Apply knowledge of quantum mechanics to predict and explain physical phenomena.

Be able to grasp famous quantum mechanical paradoxes such as Schrodinger’s cat and tunnelling.

Understand the role of the wave function in quantum phenomena and calculations.

Gain the necessary foundations to study further topics such as quantum computation and particle physics.

Description


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Introduction to Quantum Mechanics is an accessible and to-the-point journey through the most famous theory in science.

With 6.5 hours of video lectures, detailed typeset notes and a multitude of interesting problems with worked solutions, this course is for anyone interested in learning quantum physics and gaining fluency in the mathematics that holds the theory together. Concepts are introduced in a logical order at a tangible pace and are explained in detail within lectures and summarised within the notes. 

Quantum Mechanics is the intellectual cornerstone of the 20th century.

After completing the course, you will have a detailed understanding of quantum physics. Quantum physics is a triumphant theory, first formulated in the 1920s, that explains the behaviour of nature at the smallest scales, including the interactions of sub-atomic particles, and paved the way for influential technologies such as the transistor and the LED display. The theory was the first indication that the macroscopic world we experience each day is inconceivably different from that of microscopic particles.

Material is presented in an intelligent manner to help advanced concepts appear straightforward.

The course material is equivalent to that taught within a first-year undergraduate physics course but is presented in a clear and cogent fashion to allow for easier digestion. Problems have been written to a similar level but adjusted to include only the mathematics taught within the course.

English
language

Content

Course Introduction

Introduction Video

Maths Prerequisites

Introduction to Functions
Trigonometric Functions
Differentiation
Stationary Points
The Chain Rule
The Product Rule
Integration
Reverse Chain Rule
Differential Equations
Complex Numbers
Probability Distributions

Physics Prerequisites

Quantities in Physics
Newton’s 2nd Law
Quiz 1
Electromagnetic Force
Waves

Quantum Mechanics: Probabilities and the Wavefunction

The Wavefunction: Part 1
The Wavefunction: Part 2
The Wavefunction: Part 3
Calculating Probabilities
Quiz 2
Normalisation
Superposition
Collapse
Collapse: Example
Schrodinger’s Cat
Quiz 3
Worked Example 1
Worked Example 2
Section Conclusion

Maths Interlude

Eigenvalue Equations

Quantum Mechanics: Physical Observables

Quantities in QM
Observables and Operators
Momentum
Energy
Position
Quiz 4
Expectation Values
Expectation Values: Example Part 1
Expectation Values: Example Part 2
Uncertainty Principle
Commutators
Quiz 5
Worked Example 1
Worked Example 2
Section Conclusion

Maths Interlude

Partial Differentiation
Partial Differential Equations

Quantum Mechanics: Time Dependence and the Schrodinger Equation

Time-Dependent Schrodinger Equation
Solving the Schrodinger Equation
Stationary States
Infinite Potential Well: Part 1
Infinite Potential Well: Part 2
Tunnelling
Quiz 6
Course Conclusion