Harmonic Oscillators Courses and Certifications

3Blue1Brown

Why Complex Exponents Matter - Laplace Transform Prelude

Discover how complex exponents and Euler's formula connect to dynamics, harmonic oscillators, and linear equations as preparation for understanding the Laplace Transform.

• YouTube
• 28 minutes
• On-Demand
• Free Video

3Blue1Brown

Why Laplace Transforms Are So Useful

Discover the power of Laplace transforms through forced harmonic oscillators, exploring poles, derivatives, and practical problem-solving techniques in this visual mathematics lesson.

• YouTube
• 23 minutes
• On-Demand
• Free Video

3Blue1Brown

Understanding Prisms Through Springs - Optics Puzzles Part 3

Explore the physics behind prisms and light refraction, delving into oscillating charges, wave interactions, and harmonic oscillators to understand how the index of refraction arises and varies with color.

• YouTube
• 29 minutes
• On-Demand
• Free Video

NPTEL;  IIT Bombay

Quantum Chemistry of Atoms and Molecules

The course introduces students to quantum Chemistry. The syllabus is as follows. Black body radiation. Failure of classical mechanics. Marsden experiment and Rutherford theory. Hydrogen atom spectrum. Bohr Sommerfeld theory. etc.

• YouTube
• 1 day 8 hours
• On-Demand
• Free Video

NPTEL;  IISc Bangalore

Introductory Quantum Chemistry

Explore quantum chemistry fundamentals, from wave-particle duality to molecular orbitals. Master key concepts, equations, and theories through comprehensive lectures and practical applications.

• YouTube
• 1 day 15 hours
• On-Demand
• Free Video

Steve Brunton

Second-Order Ordinary Differential Equations - Solving the Harmonic Oscillator Four Ways

Explore four methods to solve second-order ODEs for harmonic oscillators: guessing, Taylor series, alternative guessing, and matrix systems. Gain practical problem-solving skills in differential equations.

• YouTube
• 37 minutes
• On-Demand
• Free Video

For the Love of Physics

Numerically Solving the Schrodinger Equation in Scilab - Harmonic Oscillator and Infinite Square Well

Learn to numerically solve the Schrödinger equation using Scilab, covering finite difference methods and applications to harmonic oscillator and infinite square well potentials.

• YouTube
• 43 minutes
• On-Demand
• Free Video

Dr. Prinson P Samuel

Spectroscopy I - Rotational, Vibrational, Electronic, and Raman Spectroscopy

Master rotational, vibrational, and electronic spectroscopy techniques for molecular analysis, including bond length determination, force constants, and Raman effects.

• YouTube
• 16 hours 33 minutes
• On-Demand
• Free Video

Let's Code Physics

Computational Quantum Mechanics

Explore quantum mechanics through computational methods, covering Schrödinger equations, wave functions, energy states, and potential systems with practical coding applications.

• YouTube
• 3 hours 18 minutes
• On-Demand
• Free Video

Dietterich Labs

Classical Mechanics - Lagrangian Dynamics, Pendulum Systems, and Wave Equations

Explore pendulum dynamics, oscillators, and wave equations through practical examples in classical mechanics and Lagrangian formulations.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Algebraic Solution of the Harmonic Oscillator in Quantum Theory - Lecture 2

Master algebraic methods for solving harmonic oscillator problems in quantum theory, focusing on canonical commutation relations and the application of raising and lowering operators.

• YouTube
• 50 minutes
• On-Demand
• Free Video

ICTP Mathematics

Quantum Fields, Strings, and Black Holes: A Primer for Non Experts, Part I - Atish Dabholkar

Explore quantum black holes, string theory, and their connections to number theory and geometry. Gain insights into fundamental physics concepts, suitable for mathematicians and physics students.

• YouTube
• 1 hour 58 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Finite Part of Infinity by Joseph Samuel

Explore the paradoxical equation 1+2+3...=-1/12, its mathematical interpretation, and its impact on physics, including the Casimir effect, with insights from differential geometry and topology.

• YouTube
• 1 hour 35 minutes
• On-Demand
• Free Video

Let's Code Physics

Harmonic Oscillator Potential in Quantum Mechanics - Lecture 8

Explore quantum behavior of harmonic oscillators through computer animations. Visualize spring force in the quantum world and learn to build coherent states using VPython.

• YouTube
• 24 minutes
• On-Demand
• Free Video

Institute for Advanced Study

New Experimental Directions for Fundamental Physics II - Peter Graham

Explore cutting-edge experimental approaches in fundamental physics, focusing on innovative techniques and their potential to advance our understanding of particle physics beyond the LHC.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video