Step Potential Part II (E less than V) | Particle Penetrates Barrier

What happens when a quantum particle faces a Step potential barrier with energy less that the barrier itself?

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A step potential occurs when a particle encounters a sudden change in potential energy, like moving from one region where the potential is lower to another where it's higher.

In quantum mechanics, if E is less than V, the particle has a chance to "tunnel" through or penetrate into the barrier, rather than just being completely reflected back as in classical physics. This phenomenon is due to the wave-like nature of particles. Inside the region where the potential is higher, the particle's wave function decreases exponentially, indicating that while the probability of finding the particle there is small, it is not zero. This behavior underlines the counterintuitive nature of quantum mechanics, where particles can exist in regions classically forbidden.

00:00 Introduction
01:53 Schrodinger'S Equation
09:21 Probability of Penetration
11:37 Boundary Conditions
20:48 Results

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This sir really has the potential to change the way of traditional teaching...please comtinue sir today or tomorrow..you are going to be the national news...❤❤❤

[thedogcorner]

I haven't found physics teacher that taught better than you sir

[MarakSpeaks]

I love the way you make quantum mechanics comprehensible

[Bhuvaneshwaran-oz]

Hi sir, I hope you're doing well. I’ve watched all the lectures in your quantum mechanics series, and I found them incredibly interesting and conceptually clear. Thank you so much for your valuable effort. I'm eagerly looking forward to your upcoming videos, especially on topics like the harmonic oscillator in quantum mechanics. It would also be great to have more problem-solving lectures in this area.

Thank you again!
~ Bhuvan

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Excellent. 10/10, Thank you so much. Please we need videos on the statistical distributions and Fermions and Bosons.

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big fan sir continue ending the series and new vdo uploaded....

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Thanks you so much prof Das for your beautiful lesson!!!

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[venkatkarthikps]

Is the energy qunatized in this case? If yes how would one come up with equation for the En

[DsthakurRawat]

Please upload notes pdf from lecture 26 and onwards 😢😢

[amankumarnaik]

What will be transmission coefficient?will it be zero?

[ANONYMOUS-mhcv]

Can anyone answer this doubt( it is not from this topic, but I have this from long time)
If proton converts to nuetron by emitting a meson and vice versa, then how can we say that number of protons in a nucleus is always constant, as at any instant there can be more less or equal protons as compared to original configaration.
(Pls don't mind if this is too silly)

[mathvanshi]

Can you please explain physics behind tantra mantra