Time independent vs time dependent Schrodinger equations

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PhysicsHelps

8 жыл бұрын

A quick video explaining the difference between the time independent and time dependent Schrodinger equations

Пікірлер: 21

@user-mc2rd9ho5d Жыл бұрын

Very good explanation. I just realized that any state could be written as a linear combination of eigenvectors

@muddassirghoorun4322 2 жыл бұрын

It helped in understanding their different uses. Thanks.

@sagarrawal8332 7 жыл бұрын

What is eigen state and eigen function?? then

@yourcringestepdad 8 жыл бұрын

What software/hardware do you use to produce these videos?

@PhysicsHelps 8 жыл бұрын

This one was on an iPad with the Explain Everything app. Most of my other videos were on a Wacom tablet with Camtasia screen capturing.

@JK-pd7jf Жыл бұрын

Please explain what the eigenstate and eigenvalues are, for a beginner like me. Thanks.

@amjadalhindi7350 2 жыл бұрын

thanks!

@braedenlarson9122 9 ай бұрын

But you can get from the time independent from the time dependent using separation of variables in some cases, there is relationship here...

@thelittlelegendsz 6 жыл бұрын

eigen means own in dutch

@simonstark2948 4 жыл бұрын

In German as well 😀

@user-rg1nt9lf4s 5 жыл бұрын

You are saying that the only difference is we can find energy eigenvalues or energy eigenstate from time independent Schrödinger equation but we can also evaluate it from time dependent eq by putting t=0 then why we need time independent Schrödinger equation

@PhysicsHelps 5 жыл бұрын

The time-dependent equation doesn't help you find the eigenstates. It lets you find how a state will evolve over time.

@user-rg1nt9lf4s 5 жыл бұрын

@@PhysicsHelps That is the point i am asking as E is formulate as i h cross del over del t which is time dependent . And basic thing what one have to known to find out the energy of a system? Can we predict or determine directly the energy of the system without knowing that physical quantities? Then how can it unable to find out the eigenstate.?

@PhysicsHelps 5 жыл бұрын

Some of this will be hard to discuss in comments without just doing a larger quantum course, but hopefully this helps: The hamiltonian operator for the system determines the energy eigenstates and eigenvalues. That's pretty much the meaning of the time-independent equation. And the hamiltonian will take physical quantities, such as charge, into account. Any state can be expressed as a linear combination (superposition) of the eigenstates. If you measured the energy of a non-pure state, you could get different results, and the probabilities of different energy values would depend on 'how much' each eigenstate is present the non-pure state. You could do a weighted average of the possibilities if you wanted to say a state has one particular energy value, but it would be important to remember that it's an average. The time-dependent equation is not an expanded version of the time-independent equation. It's a totally different equation which specifies how states change over time. The time-independent equation can only be true when eigenstates are 'plugged in', like solving for x in a single-variable algebra equation. The time-dependent equation is more like a function that relates two quantities. You can plug any state in, including non-eigenstates, and the equation says something sensible, telling you how the state will change over time.

@user-rg1nt9lf4s 5 жыл бұрын

Please make a video with example if possible. It now seems more complex . I never thought about non eigenstate expression.

@user-rg1nt9lf4s 5 жыл бұрын

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