The HILBERT Space of KETs: An Introduction to the Arsenal of Quantum Mechanics
In the modern formalism introduced by Dirac, all quantum states are represented by objects called kets in an infinite-dimensional Hilbert space. A ket is an abstract complex vector associated with a wave function and therefore with a physical state of a particle, a photon, or any microscopic quantum object. Here begins the exploration of the arsenal of quantum mechanics. #ket #autoket #states #quantummechanics #physics #mathematics #hilbert #spacevector #quantum #geometry #mathematics #linearalgebra #linearalgebra #vectors #matrix #operators #quantumstates #vectors #dirac
⭐️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 WELL: • Che cos'è una BUCA di Potenziale INFINITA?...
ATOMIC ORBITALS: • ORBITALI Atomici: Le NUVOLETTE quantistich...
HARMONIC OSCILLATOR: • I SEGRETI dell'Oscillatore ARMONICO QUANTI...
STERN-GERLACH: • L'Esperimento di STERN-GERLACH mostra che ...
📽️ VIDEO STREAM ALL:
https://www.yousciences.it/videostream/
https://www.giuseppesottile.it/video.php
Further reading:
https://it.wikipedia.org/wiki/Notazio...
https://it.wikipedia.org/wiki/Spazio_...
https://it.wikipedia.org/wiki/Forma_s...
https://it.wikipedia.org/wiki/Spazio_...
https://en.wikipedia.org/wiki/Bra%E2%...
Quantum Mechanics Books:
➤John S. Townsend, A Modern Approach to Quantum Mechanics, Univ Science Books (2012)
➤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: The quantum cat
01:50 The space of kets
04:53 Properties
10:30 Postulate ZERO of QM
11:30 Postulate ONE of QM
14:06 Ket bases
16:02 The ket as a column
17:47 The journey continues...
Executive Production by Giux