Sabine Hossenfelder explains atomic energy levels and their role in quantum mechanics.

Watching these videos is all part of my plan to understand the fundamental forces behind quantum computing.

Geek’s Lesson provides this full nine hour source on quantum mechanics.

Quantum mechanics (QM; also known as #quantum #physics, quantum theory, the wave mechanical model, or #matrixmechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.

• (0:00) Lesson 1: Fundamentals
• (10:03) Lesson 2: Complex Numbers in Quantum Mechanics
• (27:20) Lesson 3: Representing Complex Things
• (43:03) Lesson4: Superposition and Stationary States
• (1:0:00) Lesson5: Infinite Square Well
• (1:19:48) Lesson 6: More ISW + Dirac Notation
• (1:39:07) Lesson 9: QSHO, Operator Method, part 1
• (1:55:37) Lesson 10: QSHO Part 2
• (2:18:42) Lesson11 SHO Analytical
• (2:32:56) Lesson13 Free Particle (redo)
• (3:00:28) Lesson14 More Fourier Transforms, inner products
• (3:22:10) Lesson15 Delta Bound States
• (3:32:50) Lesson16: Scattering States of the Dirac Delta Potential + More DFT concepts
• (4:06:17) Finite Square Well (updated)
• (4:32:43) Tunneling and Bonding
• (5:08:05) Review (or intro) to Linear Algebra + Notation
• (6:03:52) Formalism I
• (6:14:20) Formalism II More Quantum Formalism
• (6:43:49) Formalism III: Time Evolution + More Change of Basis
• (7:39:45) Exam 3 Prep, More time evolution of Ammonia molecule
• (7:55:25) SWE in 3D
• (8:25:07) Hydrogen Solutions + Angular Momentum
• (8:31:14) Angular Momentum-II
• (8:57:34) Spin 1/2

Sabine Hossenfelder explains one of the most common misunderstandings about quantum mechanics — that quantum mechanics is about making things discrete or quantifiable.

This must be one of the most common misunderstandings about quantum mechanics, But is an understandable misunderstanding because the word “quantum” suggests that quantum mechanics is about small amounts of something. Indeed, if you ask Google for the meaning of quantum, it offers the definition “a discrete quantity of energy proportional in magnitude to the frequency of the radiation it represents.” Problem is that just because energy is proportional to frequency does not mean it is discrete. In fact, in general it is not.

Thoughty2 explores the impact that quantum computing will have.

Geek’s Lesson shares this full intro course on quantum physics.

Course Index:

• Introduction to quantum mechanics (0:00)
• The domain of quantum mechanics (16:21)
• Key concepts in quantum mechanics (28:00)
• A review of complex numbers (37:00)
• Complex numbers examples (1:05:00)
• Probability in quantum mechanics (1:18:00)
• Probability distributions and their properties (1:29:00)
• Variance of probability distributions (1:55:00)
• Normalization of the wavefunction (2:9:00)
• Position, velocity, and momentum from the wavefunction (2:37:00)
• Introduction to the uncertainty principle (3:04:00)
• Key concepts of QM, revisited (3:17:00)
• Separation of variables and the Schrodinger equation (3:31:00)
• Stationary solutions to the Schrodinger equation (4:03:00)
• Superposition of stationary states (4:23:00)
• Potential functions in the Schrodinger equation (4:54:00)
• Infinite square well (particle in a box) (5:16:00)
• Infinite square well states, orthogonality and completeness (Fourier series) (5:37:00)
• Infinite square well example computations and simulation
• Quantum harmonic oscillator via ladder operators
• Quantum harmonic oscillator via power series
• Free particles and the Schrodinger equation
• Free particle wave packets and stationary states
• Free particle wave packet example