
The course structure unfolds in parts for beginners, intermediate, and advanced learners. From the Schrödinger equation to harmonic oscillator, hydrogen atom, and spin, it links theory to quantum computing.
Learn why quantum mechanics matters, explore light's wave-particle duality and how electrons and matter follow this dualism, and examine the Heisenberg uncertainty relation and Schrödinger's cat.
Explain why the Schrödinger equation replaces the classical wave equation for quantum particles, emphasizing first-order time evolution, superposition, and wavefunction normalization to a probability density.
Explore the particle in the box by verifying the wavefunction solves the Schrödinger equation, establishing normalization from the probability density, and computing position and momentum expectations.
Explore the nabla operator and how gradient, divergence, and curl reveal vector fields' behavior, including the laplacian and applications in wave equations and quantum mechanics.
Explore a finite potential box where outside the well the wavefunction decays exponentially and boundary conditions shape energy spectrum. Notice penetration into the barrier and how increasing V0 reduces leakage.
Form a normalized wave packet by superposing plane waves with a distribution F(k), such as a shifted Gorshin distribution, yielding a packet that propagates, spreads, and reaches minimum Heisenberg uncertainty.
Explore the tunnel effect through a finite barrier by analyzing wave packets, transmission and reflection, and stationary Schrodinger solutions on both sides of the barrier.
Install and launch the Anakonda distribution, set up a Jupyter notebook environment, and create a new file to demonstrate solving quantum systems in Python 3 for scientific programming.
Typo: In the "definition" of the delta distribution, the limit of a should go to zero and not infinity.
Explore how commutators determine whether operators commute, showing AB-BA is zero when order doesn't matter, with X and P_x acting on wavefunctions and involving a derivative.
Learn how ladder operators in the harmonic oscillator use creation and annihilation operators to raise or lower energy by h-bar omega, revealing the eigenstate ladder.
Explore the quantum harmonic oscillator, its equidistant eigenenergies, ladder operators, and the second quantization framework using the number operator, plus classical versus quantum probability insights.
Uncover the hydrogen atom eigensystem by solving the stationary Schrödinger equation in spherical coordinates, yielding energy levels En, and eigenfunctions built from spherical harmonics and the radial wavefunction.
Explore the relativistic version of quantum mechanics, merging relativity with quantum theory for experts, and follow along or jump to the electron spin section guiding toward a quantum computer.
Derive the Pauli equation from the Dirac equation by incorporating electromagnetic fields and taking the non-relativistic limit to a spinor with Pauli matrices, revealing Zeeman coupling and g factor two.
*** 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 :-)