Probability Current

What is Probability Current and it's Continuity Equation in Quantum Mechanics is what I discuss in this video lecture.
𓏬𓏬𓏬𓏬𓏬ELEVATE CLASSES𓏬𓏬𓏬𓏬𓏬
Browse LIVE & Recorded Courses for Physics IITJAM, CSIR-NET, GATE, TIFR, JEST etc on our platform ► www.elevateclasses.in/
Android ► bit.ly/3zU71ur
iOS ► apple.co/3ZPRWVJ (use ORG code - AHGXS)
𓏬𓏬𓏬𓏬𓏬LEC NOTES - GDRIVE𓏬𓏬𓏬𓏬𓏬
Find the PDF Scanned copy of my NOTES for this lecture here:
𓏬𓏬𓏬𓏬𓏬VIDEO DESCRIPTION𓏬𓏬𓏬𓏬𓏬𓏬
In quantum mechanics, the concept of probability current density plays a crucial role in understanding the behavior of particles described by wave functions. Essentially, it represents the flow of probability associated with the motion of these particles through space.
The probability current density provides insights into the movement of particles in quantum systems. For instance, in one-dimensional space, the probability current density can indicate whether a particle is moving to the right or to the left, depending on the sign of J. In three-dimensional space, the vector nature of the probability current density gives more detailed information about the direction and magnitude of particle motion.
Moreover, the probability current density is conserved in quantum mechanics, which means that the total probability flux into a region of space must equal the total probability flux out of that region. This conservation property is analogous to the conservation of mass or charge in classical physics.
00:00 Introduction
03:20 Continuity Equation & Probability Current
20:21 Examples
𓏬𓏬𓏬𓏬𓏬𓏬TELEGRAM𓏬𓏬𓏬𓏬𓏬𓏬
Join my Telegram Channel ► 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 🔥🔥🔥 paypal.me/FortheLoveofPhysics
JOIN MEMBERSHIP in UA-cam 😇😇😇
/ @fortheloveofphysics

[@FortheLoveofPhysics]

Upcoming Batch t Elevate
Physics IIT-JAM 2025, TIFR & JEST Batch starting JUNE 22
CSIR-NET DEC 2024 & GATE-2025 Batch starting JUNE 30
Find all details here:
Website ► www.elevateclasses.in/
Android ► bit.ly/3zU71ur
iOS ► apple.co/3ZPRWVJ (use ORG code - AHGXS)

[@Gaurav-um4oh]

Return of the King!❤

[@arjunsinha4015]

Finally sir after a long time

[@masumbilla1564]

Thank you sir❤

[@dominvs935]

dear sir, please make some videos on how to simulate motion of probability waves (QM) in scilab.

[@krishnamurari7369]

Your lecture will boom certainly sir. thanks for this wonderful lecture series. it is quite helpful for me.

[@ajittiwari9766]

Beautiful lecture sir ❤
Please keep uploading videos on. Quantum Mechanics
And also on Quantum Theory of Hydrogen Like Atoms

[@thusithawickramanayaka4493]

One of the best teacher.... Thanks a lot for this session too...

[@GoutamDAS-ls1wb]

This by far has been the best exposition on this topic for me so far! Thank you so much for these extremely lucid and well paced lectures! IMAO even for chemistry majors, it would be far better if physicists presented QM rather than chemists. Not underestimating contributions of quantum chemists, but there is a huge difference in quality and clarity. The only requirement is the slightly higher mathematical maturity--which one gets after DE and Calculus III.

[@muneeburrehman978]

Really you have the best way to teach physics!!!!!!
Plz make more topics like this
The best application of continuity equation is in the core of nuclear reactors where neutrons diffusion.

[@anjali7396]

❤Superb! ..... Please sir upload more videos on quantum mechanics..

[@umarhashmi6759]

Welcome back Sir

[@hare_krishna716]

i am very happy sir,you are back now

[@harshyadav4691]

Sir please upload videos regularly

[@farhanmajeed862]

Feel happier to see u again dear sir..... Akhir hamara intizar khatam hua.....

[@ronyhasan9794]

Thank you a lot from Bangladesh for continue this course again. The moat awaiting course of me

[@ShizukaMinamoto-rr2xc]

Are there any video classes available on special relativity(using tensors)

[@shaukatahmad]

So can we expect rest of the videos of quantum mechanics will get published sooner

[@KylianMbappe07303]

I understood while sleeping 😂😂

[@mazharali5348]

insightful Sir,❤

[@ajittiwari9766]

Sir please continue lectures on. Quantum Mechanics ❤❤❤😢

[@muhammadrashidmuhammadrash2585]

Finally sir❤❤

[@Ojasvi-dr7yb]

Pls recommend a book on linear algebra for absolute beginners who haven't finished school yet but have but are really good at math

[@ZR333]

See Griffiths (introduction to quantum mechanics) last pages .

[@BabluSingh-zx4hh]

You are class 9 or 10 student??

[@neharai4927]

Can you please make a video on Noether’s Theorem??? Thank you

[@devrishitenguriya8904]

Sir please start the lecture series on atomic and molecular physics.

[@zubaerahmed2575]

Please sir , make a lecture in operator. Please sir. Very soon. My class test is knocking

[@subhrajitmondal8878]

sir you have not provided the notes link

[@Double_handedly]

Sir Dev gadhvi apke bhai hain kya ?

[@doutormanhattan5680]

Someone watching from Brazil too?