Mô tả

*** The Bestseller for quantum physics & Part of the udemy business collection *** 

"Phenomenal course!! Prior to this course, I thought I would never be able to understand quantum mechanics. I would certainly recommend this course to anyone that is interested in learning quantum mechanics.“ - Maximus Akrem Nwider

"I have learned more theory here than in a semester in a university course. The information is incredibly well organized. I cannot express the insanely good quality of this course." - Aaron


This course is for everyone: beginner to expert!

We will cover the whole band width of quantum mechanics starting from the initial experimental observations and ending up with relativistic quantum theory.


Quantum mechanics is arguably among the most fascinating fields of science.

It has made numerous appearances in modern pop-culture and is present in our everyday lives. Still, it is also very challenging to get a grasp at this topic - even understanding the most fundamental concepts can be very difficult without instructions.

However, I think that this most fascinating field of science is often taught either too vague or with a too strong focus on the mathematics. Instead of watching random Youtube videos or going through hundred of hours of university courses, I think that Udemy courses are a nice platform for purposeful learning. You are kindly invited to join this carefully prepared course that will teach you the 101 of quantum physics.


Why me?

My name is Börge and I am a postdoc working as a scientist in quantum theory. Due to my expertise in the field (more than 10 years), I know which topics are most important and which parts can be cut short (especially the very dry parts). I have not forgotten the time when I learned about quantum physics and still remember the problems that I and other students had. I have refined my advisor skills as a tutor of Bachelor, Master and PhD students in theoretical physics.


This course is for you if you ...

  • ... have ever wondered what is the big deal with quantum physics

  • ... want to know why we need quantum physics

  • ... want to learn the methods how to actually calculate quantum problems like the tunnel effect

  • ... want to walk comfortably in the quantum world without being totally overwhelmed by its difficult language

  • ... have interest in popular physics phenomena like quantum computing or superconductivity and want to understand their core ideas and relations to quantum mechanics

  • ... are about to attend a university course

  • ... if you have already attend a university course and want to learn what comes next

or

  • ... if you simply want to have a carefully condensed refresher before your exams :-)

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Yêu cầu

Nội dung khoá học

12 sections

Welcome

3 lectures
Hello and welcome
03:41
The structure of this course
03:03
Mathematical Tutorial
00:29

Why do we need quantum physics?

8 lectures
Section intro
00:46
Slides for this section
00:02
What is light? A wave?
15:53
What is light? A particle?
08:53
Particle-wave dualism
04:54
Heisenberg's uncertainty & Schrödinger's cat
06:11
Test your knowledge
5 questions
Section outro
00:36

The Schrödinger equation

11 lectures
Section intro
00:51
Slides for this section
00:02
Motivating the Schrödinger equation
05:47
Discussion & Interpretation of the Schrödinger equation and wave functions
09:12
Operators & Expectation values
06:18
Test your knowledge
3 questions
Section summary
03:02
Exercise: Your first exercise
05:15
Exercise: Your first exercise
00:07
Solutions: Your first exercise
20:41
Outlook after the exercise
00:15

Optional Tutorial: Mathematics important for us

16 lectures
Tutorial: Section intro
02:16
Complex numbers 1/4 - What are complex numbers?
09:25
Complex numbers 2/4 - Addition, subtraction & complex plane
13:08
Complex numbers 3/4 - Multiplication & division
09:37
Complex numbers 4/4 - Exponentials & polar representation
19:43
Exercise: Complex numbers
00:07
Solutions: Complex numbers
14:11
Test your knowledge about complex numbers.
9 questions
Tutorial: Multidimensional derivatives 1/2 - Partial derivatives
12:45
Multidimensional derivatives 2/2 - Nabla operator
26:54
Test your knowledge about the Nabla operator.
6 questions
Exercise: 3-dimensional derivatives
00:07
Solutions: 3-dimensional derivatives
15:33
Multidimensional integrals
17:49
Alternative coordinate systems
13:50
Integration in spherical coordinates
14:48

Solving stationary examples

19 lectures
Section intro
00:57
Slides for this section
00:02
Reminder about our first exercise
00:32
The stationary Schrödinger equation
05:36
Analytical example: Particle in a box, part 1
09:54
Analytical example: Particle in a box, part 2
10:54
Analytical example: Particle in a box, part 3
05:04
Finite potential box
13:07
Estimating the eigensystem of general potentials
10:06
Estimate the eigensystem
3 questions
Exercise: Particle in a ring
06:27
Exercise: Particle in a ring
00:07
Solutions: Particle in a ring
25:42
Transition from our exercise to plane waves
00:25
Wave packets
08:55
Application: The tunnel effect, part 1
07:12
Application: The tunnel effect, part 2
06:06
Test your knowledge
7 questions
Section outro
00:43

Scientific programming using Python: Optional computational physics section

8 lectures
Section intro: Scientific programming using Python
00:55
Setting up Python 3 (Jupyter notebooks) for scientific programming
00:47
Python: Particle in a box, part 1
11:07
Python: Particle in a box, part 2
23:13
Python: Harmonic oscillator, part 1
09:52
Python: Harmonic oscillator, part 2
20:29
The easy way: Mathematica
03:38
Section outro
00:40

More theoretical background

13 lectures
Section intro
00:56
Slides for this section
00:02
Kronecker delta and delta distribution
04:48
Different representations of wave functions and operators
08:36
Dirac notation or Bra-Ket notation
06:54
Hermitian operators
09:09
Exercise: Preparation for Commutators
00:14
Commutators
05:35
Heisenberg's uncertainty II
09:41
Common eigenfunctions of commuting operators
02:03
Time evolution & Ehrenfest theorem
10:14
Test your knowledge
6 questions
Section outro
00:21

Second quantization: The harmonic oscillator

9 lectures
Section intro
00:45
Slides for this section
00:02
The harmonic oscillator
09:03
Exercise: Preparation for ladder operators
00:11
Second quantization
06:40
Ladder operators
09:22
Eigenspectrum of the harmonic oscillator
12:21
Test your knowledge
3 questions
Section outro
00:34

Real-world example: The hydrogen atom

8 lectures
Section intro
01:08
Slides for this section
00:02
Separation of the problem
09:57
Solving the angular equations
12:23
Solving the radial equation
24:07
Quantum chemistry: Discussing the eigensystem of the hydrogen atom
22:14
Test your knowledge
6 questions
Section outro
01:15

Relativistic quantum theory & Electron spin

12 lectures
Section intro
00:51
Slides for this section
00:02
Special relativity
09:47
Relativistic energy dispersion
04:03
Klein-Gordon equation
07:27
Muonic hydrogen
16:27
Pauli equation & Electron spin
21:31
Dirac equation
06:15
Deriving the Pauli equation from the Dirac equation
13:32
1/c^2 corrections
04:31
Fine structure of hydrogen
05:28
Section outro
00:34

Quantum computing

10 lectures
Section intro
00:35
Slides for this section
00:02
Qubits
12:55
Single-bit operations for quantum computing
04:40
Double-bit operations for quantum computing
02:24
Physical realization of single-qubit operations
13:57
Physical realization of double-qubit operations
06:23
Entanglement & Quantum teleportation
05:27
Test your knowledge
6 questions
Section outro
00:47

End

4 lectures
Strange phenomena
07:40
Interpretations of QM: Copenhagen, Many-world theory, Bohm mechanics & more
12:35
Goodbye!
00:48
Congratulations! Bonus Content!
00:32

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