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What is Inner Product? Measurement Outcomes in QM скачать в хорошем качестве

What is Inner Product? Measurement Outcomes in QM 2 months ago

for the love of physics

physics

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lectures

quantum mechanics

inner product

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superposition

quantum entanglement

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probability

hilbert space

linear vector space

scalar product

dot product

inner product and probability

inner product in quantum mechanics

measurement outcomes in quantum mechanics

probability in quantum mechanics

time evolution

psi

wavefunction collapse

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What is Inner Product? Measurement Outcomes in QM

What is an Inner Product in Quantum Mechanics? What is it's physical significance? In this video I explore how Inner Product is related to the Measurement outcomes in Quantum Mechanics. 𓏬𓏬𓏬𓏬𓏬Introductory QM Lecture Series Playlist𓏬𓏬𓏬𓏬𓏬    • Quantum Mechanics   𓏬𓏬𓏬𓏬𓏬Advanced QM Lecture Series Playlist𓏬𓏬𓏬𓏬𓏬    • Advanced 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: https://drive.google.com/file/d/1iK6N... 𓏬𓏬𓏬𓏬𓏬VIDEO DESCRIPTION𓏬𓏬𓏬𓏬𓏬𓏬 The inner product in quantum mechanics is a mathematical tool that measures how much two quantum states overlap or resemble each other. Think of it as a way to quantify similarity or difference between quantum states. A larger inner product means the states are more aligned, whereas a smaller one indicates they're distinct or orthogonal. Physically, this corresponds to the probability of transitioning from one state to another or obtaining a particular measurement outcome. This concept underlies key quantum ideas like superposition, interference, and quantum probabilities, making it fundamental to understanding quantum computing, quantum entanglement, and wavefunction behavior. 00:00 Introduction to Inner Product 08:42 Properties of Inner Product 17:12 Measurement Outcomes 20:11 Numerical Examples 31:57 Expectation Values 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  

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