Wavefunction & Normalization EXPLAINED
13.6 هزار بار بازدید -
6 ماه پیش
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What is a wavefunction in
What is a wavefunction in Quantum Mechanics? Does it have a physical significance? How do we know whether a given wavefunction is physically acceptable or not? Let's discuss all these questions in today's lecture.
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𓏬𓏬𓏬𓏬𓏬LEC NOTES - GDRIVE𓏬𓏬𓏬𓏬𓏬
Find the PDF Scanned copy of my NOTES for this lecture here: https://drive.google.com/file/d/12q8X...
𓏬𓏬𓏬𓏬𓏬VIDEO DESCRIPTION𓏬𓏬𓏬𓏬𓏬𓏬
In quantum mechanics, the wave function is a fundamental concept that describes the quantum state of a particle or a system of particles. It is usually denoted by the symbol ψ (psi) and is a mathematical function that provides the probabilities of the outcomes of different measurements on the system. The wave function is a complex function, meaning it can take on complex values, and its absolute square, |ψ|^2, gives the probability density of finding the particle(s) at a given place and time.
The behavior and evolution of the wave function are governed by the Schrödinger equation, a key equation in quantum mechanics. The equation is time-dependent in general, showing how the wave function changes over time. The wave function is not directly observable; instead, its role is to predict probabilities and expectation values of physical quantities in a quantum system.
00:00 What is a Wavefunction?
09:16 Conditions for a physically acceptable ψ
19:11 Exercise - Which wavefunctions are allowed?
24:20 Normalization of a Wavefunction
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𓏬𓏬𓏬𓏬𓏬ELEVATE CLASSES𓏬𓏬𓏬𓏬𓏬
Browse LIVE & Recorded Courses for Physics IITJAM, CSIR-NET, GATE, TIFR, JEST etc on our platform ► 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/12q8X...
𓏬𓏬𓏬𓏬𓏬VIDEO DESCRIPTION𓏬𓏬𓏬𓏬𓏬𓏬
In quantum mechanics, the wave function is a fundamental concept that describes the quantum state of a particle or a system of particles. It is usually denoted by the symbol ψ (psi) and is a mathematical function that provides the probabilities of the outcomes of different measurements on the system. The wave function is a complex function, meaning it can take on complex values, and its absolute square, |ψ|^2, gives the probability density of finding the particle(s) at a given place and time.
The behavior and evolution of the wave function are governed by the Schrödinger equation, a key equation in quantum mechanics. The equation is time-dependent in general, showing how the wave function changes over time. The wave function is not directly observable; instead, its role is to predict probabilities and expectation values of physical quantities in a quantum system.
00:00 What is a Wavefunction?
09:16 Conditions for a physically acceptable ψ
19:11 Exercise - Which wavefunctions are allowed?
24:20 Normalization of a Wavefunction
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 ❤️❤️❤️Patreon: dibyajyotidas
Donate/ Paypal 🔥🔥🔥 https://paypal.me/FortheLoveofPhysics
JOIN MEMBERSHIP in Youtube 😇😇😇
@fortheloveofphysics
6 ماه پیش
در تاریخ 1402/10/18 منتشر شده
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