Quantum Mechanics - What is a Wave Packet in Quantum Mechanics? (Step by Step)

In Quantum Mechanics, a particle is best described by the concept of a Wave packet. Now, what is a Wave packet? That is what we will discuss in this video. 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬ELEVATE𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 *Elevate Classes* - Find LIVE Batches & Recorded Courses for Physics IITJAM, CSIR-NET, GATE, TIFR, JEST etc on our platform Website► https://www.elevateclasses.in/ Android App► https://bit.ly/3zU71ur iOS App► https://apple.co/3ZPRWVJ (use ORG code - AHGXS) 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬MY NOTES - GDRIVE𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 Find the PDF Scanned copy of my NOTES for this lecture here: https://drive.google.com/file/d/1io80rGWZDf7DHmefEmR3Y05ZbQ6mHoV-/view?usp=drive_link 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬VIDEO DETAILS𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 In QM, a wave packet is a fundamental concept used to describe the behavior of particles at the quantum level. It represents a localized and often temporary concentration of a particle's probability amplitude in a specific region of space. Imagine a particle, such as an electron, whose behavior is described by a wave function. This wave function is a mathematical expression that characterizes the probability distribution of finding the particle at various positions in space. A wave packet is essentially a wave function that is strongly peaked in a limited spatial region. Wave packets are crucial for understanding the behavior of particles at the quantum level. 00:00 Introduction 02:21 Wave Particle Duality 06:02 Wave packet 15:44 Plane Waves 20:50 Schrodinger's Equation for Free Particle 27:17 Final Expression of Wave packet 34:21 Physical Interpretation of Wave packet Source of Simulation of Wavepacket: https://d-arora.github.io/Doing-Physics-With-Matlab/mpDocs/se_fdtdA.htm 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬TELEGRAM𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 Join my Telegram Channel ► https://t.me/FortheLoveofPhysicsYT 𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬SUPPORT𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬𓏬 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 in Patreon ❤️❤️❤️https://www.patreon.com/dibyajyotidas Donate in Paypal 🔥🔥🔥 https://paypal.me/FortheLoveofPhysics Donate via UPI ID 🙂🙂🙂 dj09das@okaxis JOIN as a member in Youtube 😇😇😇 https://www.youtube.com/channel/UCOfLm6gZGt3vwTMKRg-irhg/join