My name is Alexander FufaeV and in this course you will learn about:

# Quantum Mechanics II: Theoretical tools and models of quantum mechanics

1. 1

## Schrodinger Equation and The Wave Function

In this lesson you will learn about the time-dependent and independent Schrödinger equation (1d, 3d), how it is derived and what you can do with it.

2. 2

## Bra-Ket Notation: All You Need to Know

Here you will learn how Bra-Ket notation (Dirac notation) is defined, which computational rules exist for it and which advantages this notation brings.

3. 3

## Hermitian Operators (Matrices) in Quantum Mechanics

Learn what Hermitian operators and matrices are and what three important properties they have. Examples are also made.

4. 4

## What is an Observable in Quantum Mechanics?

Here we briefly explain what an observable is in quantum mechanics and how you can calculate it.

5. 5

## What are the 4 Postulates of Quantum Mechanics?

Here you will learn about the four postulates of non-relativistic quantum mechanics, on which the whole of quantum mechanics is based.

6. 6

## Angular Momentum in Quantum Mechanics: Commutators and Eigenvalues

Here you will learn about angular momentum in quantum mechanics, its commutators, and how angular momentum states and eigenvalues are generated using ladder operators.

7. 7

## Finite Potential Well: Wave Function and Energy

Derivation of allowed energies and associated wave functions inside and outside a one-dimensional finite potential box.

8. 8

## What is the Ehrenfest Theorem?

Here you will learn what the Ehrenfest theorem states and where it can be found in classical mechanics.

9. 9

## Kitaev's Chain: How to Get Unpaired Majorana Fermions

Learn how to theoretically generate Majorana Zero Modes using the Kitaev chain and how this eliminates quantum errors.