@ProfessorMdoesScience
  @ProfessorMdoesScience
Professor M does Science | The quantum harmonic oscillator @ProfessorMdoesScience | Uploaded March 2021 | Updated October 2024, 3 hours ago.
📝 Problems+solutions:
- Quantum harmonic oscillator I: professorm.learnworlds.com/course/quantum-harmonic-oscillator-i
- Quantum harmonic oscillator II: professorm.learnworlds.com/course/quantum-harmonic-oscillator-ii

💻 Book a 1:1 session: docs.google.com/forms/d/e/1FAIpQLScUL187erItvC7GPnNU2pelsueyVFr94nRq2A5Eq2aVRdGiIQ/viewform?pli=1

📚 The harmonic potential is key in understanding many classical physics problems, from the vibrations of strings to the behavior of electronic circuits. In quantum mechanics, the harmonic oscillator plays a similarly important role, and in this video we explore the reasons why.

⏮️ BACKGROUND
Operators: youtu.be/pNFna7zZbgE
Position and momentum: youtu.be/Yw2YrTLSq5U

⏭️ WHAT NEXT?
Ladder and number operators: youtu.be/Kb9twGd25P0
Eigenvalues of the quantum harmonic oscillator: youtu.be/GkUXscdLQQ0
Eigenstates of the quantum harmonic oscillator: youtu.be/0o-LoJRtxDc

~
Director and writer: BM
Producer and designer: MC
The quantum harmonic oscillatorThe parity operator in quantum mechanicsThe quantum virial theoremEigenvalues and eigenstates in tensor product state spacesHydrogen atom: eigenvalues and eigenfuctionsState collapse in quantum mechanicsHermitian operators in quantum mechanicsThe hydrogen spectral seriesCentral potentials in quantum mechanicsPosition and momentum operators acting on wave functionsThe time-energy uncertainty principleTry it yourself: the adjoint operator in quantum mechanics

The quantum harmonic oscillator @ProfessorMdoesScience

SHARE TO X SHARE TO REDDIT SHARE TO FACEBOOK WALLPAPER