Time-independent perturbation theory | Clearly Explained!

Quantum mechanics can be a formidable mathematical challenge, especially when tackling real-world problems that lack exact solutions. In such cases, we turn to approximate methods, and one of the fundamental approaches is perturbation theory. In this video, we delve into the intricacies of perturbation theory, focusing specifically on time-independent non-degenerate perturbation theory.
🔬 Topics Covered:
- Introduction to perturbation theory.
- Understanding time-independent non-degenerate perturbation theory.
- Understanding when to use perturbation theory.
- Expanding eigenstates and eigenvalues through the Taylor series.
- Deriving the first-order correction to eigenvalues.
- Finding an approximation for energy eigenstates.
- Exploring the conditions for the smallness of λ.
- Relevance of higher-order corrections.
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#QuantumPhysics #PerturbationTheory #TimeIndependentPerturbation #QuantumMechanics #Eigenvalues #Eigenstates #WorldOfQuantum #PhysicsExplained

Пікірлер: 9

  • @University_Of_Universe
    @University_Of_Universe6 ай бұрын

    Jesus christ could not himself do this any better! I have abandoned my faith for your pure genius! You must possibly be the greatest that it ever was, all Hail the World of Quantum. An uncovering of the mystified, the light in the haze, the road in the dark, the shining star in the otherwise black dark sky. You truly, are the head of the manor, the chief of the army, I applaud you, your work, your art and your dedication. You are Pure. You are Elegant. You are masterful. You are the World.... Of quantum.

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    6 ай бұрын

    Thank you for your exquisite words of admiration. It gives me unparalleled joy to see your enthusiasm for quantum physics and appreciation for the pursuit of knowledge. I hail students like you, who are one-pointedly devoted to the pursuit of the holiest, purest and the noblest knowledge about this fascinating world… of quantum!

  • @engulbananbananas6546
    @engulbananbananas65466 ай бұрын

    THIS IS REVOLUTIONARY INSIGHT INTO PERTUBATION THEORY. THIS IS SO AMAZING THANK YOU!!!!!!1111

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    5 ай бұрын

    You're welcome!

  • @sachinkaregaonkar2559
    @sachinkaregaonkar25598 ай бұрын

    Thanks for a great explanation on the use of perturbation theory in quantum mechanics!!

  • @samrouppevandervoort5182
    @samrouppevandervoort51828 ай бұрын

    Awe inspiring video! I always struggled with perturbation theory. But this was a very clear explanation. Cant wait for the world of quantum to be demystified!!!!

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    8 ай бұрын

    You're welcome! In upcoming videos we will be taking a look at more advanced concepts in perturbation theory. Stay tuned for that!

  • @jespervogt7557
    @jespervogt75572 ай бұрын

    epic video!!!!!

  • @WorldofQuantum6.62e-34

    @WorldofQuantum6.62e-34

    2 ай бұрын

    Thanks!