The Secrets of the Quantum Harmonic Oscillator Revealed with a Diabolical Cunning Method

Опубликовано: 12 Апрель 2026
на канале: YouSciences by GIUX

10,526

395

The harmonic oscillator in quantum mechanics is a fundamental system for understanding certain behaviors at the subatomic level. In this video, we'll reveal the secrets of the quantum harmonic oscillator with a devilishly clever method. The algebraic method of ladder operators is a veritable contraption for forging solutions to the oscillator. An alternative approach would be an analytical solution to the Schrödinger equation. #quantum #chemistry #science #yousciences #physics #doctorgiux #quantum #mathematics #orbital #oscillator

⭐️SUPPORT THE PROJECT⭐️:
https://www.paypal.com/donate/?hosted...

Where to find me 💎:
➤YOUSCIENCES: https://www.yousciences.it/
➤OFFICIAL WEBSITE: https://www.giuseppesottile.it/
➤INSTAGRAM: @yousciences @___giux___
➤FACEBOOK:   / giuseppe.sottile.56
➤LINKEDIN:   / giuseppe-sottile-3a8599b0
➤TELEGRAM: https://t.me/joinchat/abNZYJqE7MVlODA0
➤TIKTOK: https://www.tiktok.com/@yousciences?l...

More Quantum Mechanics videos ⚛️:
ULTRAVIOLET CATASTROPHE:    • Che cos'è la CATASTROFE ULTRAVIOLETTA: La ...
PHOTOELECTRIC EFFECT:    • Alla Scoperta dell'EFFETTO FOTOELETTRICO: ...
PLANCK QUANTUM:    • Cos'è il Quanto di Planck e perché Dovremm...
COMPTON SCATTERING:    • EFFETTO COMPTON: la prova inequivocabile d...
WAVE FUNCTION:    • Che cos'è il Collasso della FUNZIONE d'OND...
SCHRÖDINGER EQUATION:    • I Prodigi dell'EQUAZIONE di SCHRÖDINGER: I...
INFINITE HOLE:    • Che cos'è una BUCA di Potenziale INFINITA?...
ATOMIC ORBITALS:    • ORBITALI Atomici: Le NUVOLETTE quantistich...

📽️ VIDEO STREAM ALL:
https://www.yousciences.it/videostream/
https://www.giuseppesottile.it/video.php

Further reading:
https://en.wikipedia.org/wiki/Quantum...
https://it.wikipedia.org/wiki/Oscilla...
https://www.roma1.infn.it/~sciortif/d...
http://hyperphysics.phy-astr.gsu.edu/...
http://www.fis.unical.it/files/fl178/...

Quantum Mechanics Books:
➤Dirac, Paul A. M. The Principles of Quantum Mechanics. Paolo Boringhieri, Turin 1959 (1958).
➤J.J. Sakurai, Jim Napolitano, Modern Quantum Mechanics,
second edition, Zanichelli.
➤R.P. Feynman et al., Feynman's Physics, Volume III, Masson
➤L. Landau and E. Lifschitz, Quantum Mechanics, Editori Riuniti.
➤S. Gasiorowicz, Quantum Physics, J. Wiley & Sons.
➤Born, Max., Atomic Physics, Boringhieri 1968 BU Manual
➤Feynman, The Physics of, vol. 3, Quantum Mechanics, Zanichelli, Bologna 2001 - BU

Other materials:
➤https://dalfovo.science.unitn.it/lezi...
➤http://www.cs.infn.it/appunti/appunti...
➤https://www.eoinfnpr.it/Appunti_2015.pdf
➤Book collection: https://www.lfns.it/STORIA/Download/P...

Chapter summary
00:00 Overture
01:10 Hooke's Law
02:38 Spring Potential
04:57 Quantum Oscillator
07:24 Ladder Operators
01:30 "Laddered" Schrödinger Equation
02:55 The Ladder
05:30 Status Fundamental
8:35 PM Normalization

Executive Production by Giux