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What is a Ket in Quantum Mechanics? In this video, I explain Kets, Bras, Inner Product & Hilbert Spaces 𓏬𓏬𓏬𓏬𓏬Introductory QM Lecture Series Playlist𓏬𓏬𓏬𓏬𓏬 https://youtube.com/playlist?list=PLRN3HroZGu2mCtdalEmZAM2nr1xBWAtUn&si=8ejaL8RrSFQGbtzx 𓏬𓏬𓏬𓏬𓏬Advanced QM Lecture Series Playlist𓏬𓏬𓏬𓏬𓏬 https://www.youtube.com/playlist?list=PLRN3HroZGu2m6qv26ZEzBYbAARTOylrP3 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: https://drive.google.com/file/d/1CZqFSPZRFudcC9dgykF4TV6DiG70X2ob/view?usp=sharing 𓏬𓏬𓏬𓏬𓏬VIDEO DESCRIPTION𓏬𓏬𓏬𓏬𓏬𓏬 Dirac notation is a compact and elegant mathematical formalism used in quantum mechanics. It represents quantum states and their relationships efficiently: Ket (|ψ⟩): Denotes a quantum state, typically a vector in a Hilbert space. Bra (⟨ϕ|): The dual (conjugate transpose) of a ket, representing a row vector. Inner Product (⟨ϕ|ψ⟩): A scalar value obtained by combining a bra and a ket, representing the overlap or probability amplitude between two states. This notation simplifies calculations involving operators, eigenstates, and measurements in quantum mechanics. In this video, I discuss the above in an intuitive manner. 00:00 Introduction 14:45 Inner Product 21:37 Operator & Properties 28:30 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