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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? 𓏬𓏬𓏬𓏬𓏬QM Lecture Series Playlist𓏬𓏬𓏬𓏬𓏬    • Quantum Mechanics   𓏬𓏬𓏬𓏬𓏬ELEVATE CLASSES𓏬𓏬𓏬𓏬𓏬 Elevate your preparation with Elevate Classes. Find LIVE & Recorded Courses for Physics IITJAM, CSIR-NET, GATE, TIFR, JEST etc on our platform. Use Coupon LOVEPHYSICS to get a 5% OFF in any course. Website ► https://www.elevateclasses.in/ Android ► https://bit.ly/3zU71ur iOS ► https://apple.co/3ZPRWVJ (use ORG code - AHGXS) 𓏬𓏬𓏬𓏬𓏬LEC NOTES - GDRIVE𓏬𓏬𓏬𓏬𓏬 Find the PDF Scanned copy of my NOTES for this lecture here: 𓏬𓏬𓏬𓏬𓏬VIDEO DESCRIPTION𓏬𓏬𓏬𓏬𓏬𓏬 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 𓏬𓏬𓏬𓏬𓏬𓏬TELEGRAM𓏬𓏬𓏬𓏬𓏬𓏬 Join my Telegram Channel ► https://t.me/FortheLoveofPhysicsYT 𓏬𓏬𓏬𓏬𓏬SUPPORT CHANNEL𓏬𓏬𓏬𓏬𓏬 Your Financial support provides me an additional incentive to create high quality lecture videos. I am very much thankful for your generosity and kindness Support/ Patreon ❤️❤️❤️  / dibyajyotidas   Donate/ Paypal 🔥🔥🔥 https://paypal.me/FortheLoveofPhysics JOIN MEMBERSHIP in Youtube 😇😇😇    / @fortheloveofphysics