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What is the representation of Wave function in Momentum space, and the corresponding probability densities and expectation values? 𓏬𓏬𓏬𓏬𓏬ELEVATE CLASSES𓏬𓏬𓏬𓏬𓏬 Upcoming Batch: Physics IIT-JAM 2025, TIFR & JEST Batch starting JUNE 22 Upcoming Batch: CSIR-NET DEC 2024 & GATE-2025 Batch starting JUNE 30 Find all details here: 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: https://drive.google.com/drive/folders/1WOqMYJChHEXz0BSj0bhz5ga1zGgUj9fC?usp=drive_link 𓏬𓏬𓏬𓏬𓏬VIDEO DESCRIPTION𓏬𓏬𓏬𓏬𓏬𓏬 In quantum mechanics, the wavefunction can be represented in both position space and momentum space. The wavefunction in position space describes the probability amplitude of finding a particle at a specific location. In momentum space, the wavefunction describes the probability amplitude of a particle having a specific momentum. This momentum space representation is obtained through a mathematical transformation, allowing physicists to analyze and understand phenomena where momentum, rather than position, is the key variable. This is particularly useful in problems involving conservation of momentum, scattering, and analyzing particle dynamics in various potential fields. By examining the wavefunction in momentum space, we gain insights into the particle's behavior and properties related to its momentum, providing a complementary perspective to its position space representation. 00:00 Introduction 03:20 Fourier Transform 14:48 Momentum Space Representation 31:03 Problem Solving 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 ❤️❤️❤️https://www.patreon.com/dibyajyotidas Donate/ Paypal 🔥🔥🔥 https://paypal.me/FortheLoveofPhysics JOIN MEMBERSHIP in Youtube 😇😇😇 https://www.youtube.com/channel/UCOfLm6gZGt3vwTMKRg-irhg/join
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