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Thanks in advance!

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- Thread starter Priyadarshini
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- #1

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Thanks in advance!

- #2

mfb

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How else can you do anything? Every other model is based on this (or the more general Dirac equation or quantum field theory, but let's ignore that here) or equivalent formulas.Why would one need to use the Schrodinger's wave equation?

It allows to calculate electron orbitals and energies, it allows to predict chemical bonds and so on. Basically everything.What does it give us?

That's philosophy. For physics: a very useful tool.What exactly is a wave function?

Given by the mathematics. Some satisfy the equation for eigenstates, some do not.How do we know which are the "Eigen wave values"?

The uncertainty principle just tells you that the position cannot be a single point (and gives a lower limit on the uncertainty), it does not tell you how likely it is to measure the particle at some specific point.why can't we just use the Heisenberg's uncertainty principle to find this

- #3

DEvens

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S's equation is a particular way to deal with quantum mechanics from a given point of view. You can show, with more work than I am prepared to do just at this moment in this forum, that the S.E. is equivalent to a particular limit of the Feynman path integral. That is, solving the S.E. is a way of determining the wave function of a quantum particle in an energy potential. In quantum mechanics, the wave function contains all the information about a particle that exists. You use the wave function to predict the outcome of experiments, to determine energy levels, to determine the probability of interactions, to determine half life to decay, etc.

I don't know what video you were watching. And I am a little hazy on the two words you have taken out of context. And the term "Eigen wave value" sounds like you have mixed up Eigen vector and Eigen value, two different but related things.

Possibly you could get an introductory quantum mechanics text book and do some reading?

- #4

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Sorry about the shotgun approach, I tend to get a little worked up when I don't get things.

S's equation is a particular way to deal with quantum mechanics from a given point of view. You can show, with more work than I am prepared to do just at this moment in this forum, that the S.E. is equivalent to a particular limit of the Feynman path integral. That is, solving the S.E. is a way of determining the wave function of a quantum particle in an energy potential. In quantum mechanics, the wave function contains all the information about a particle that exists. You use the wave function to predict the outcome of experiments, to determine energy levels, to determine the probability of interactions, to determine half life to decay, etc.

I don't know what video you were watching. And I am a little hazy on the two words you have taken out of context. And the term "Eigen wave value" sounds like you have mixed up Eigen vector and Eigen value, two different but related things.

Possibly you could get an introductory quantum mechanics text book and do some reading?

Oh, okay. I haven't done integration yet.

-- At around 7 minutes, he starts talking about "true, meaningful" values.

What books would you recommend for me? (I'm still in high school)

Thanks for your help!

- #5

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What is the equation for eigenstates?How else can you do anything? Every other model is based on this (or the more general Dirac equation or quantum field theory, but let's ignore that here) or equivalent formulas.

It allows to calculate electron orbitals and energies, it allows to predict chemical bonds and so on. Basically everything.

That's philosophy. For physics: a very useful tool.

Given by the mathematics. Some satisfy the equation for eigenstates, some do not.

The uncertainty principle just tells you that the position cannot be a single point (and gives a lower limit on the uncertainty), it does not tell you how likely it is to measure the particle at some specific point.

Oh! I see why the uncertainty principle can't be used here! Thanks!

- #6

DEvens

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.

What books would you recommend for me? (I'm still in high school)

Before you can usefully study QM you need calculus. And some matrix algebra would not hurt you. For example, the video has things like ##\frac{d^2\psi}{dx^2} ##. Until expressions like that are at least meaningful to you, you will find QM fairly opaque.

Your high school may have calculus classes. If it does, go take them. Try to find some high school level calculus text books. It has been way too long since high school for me to suggest a good calculus text. There is a "for dummies" book, and one from Schaum's. They might be ok at high school level.

- #7

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We have calculus on our A level syllabus at school. We have only covered the derivatives portion.Before you can usefully study QM you need calculus. And some matrix algebra would not hurt you. For example, the video has things like ##\frac{d^2\psi}{dx^2} ##. Until expressions like that are at least meaningful to you, you will find QM fairly opaque.

Your high school may have calculus classes. If it does, go take them. Try to find some high school level calculus text books. It has been way too long since high school for me to suggest a good calculus text. There is a "for dummies" book, and one from Schaum's. They might be ok at high school level.

Thanks for the book suggestions, I'll have a look!

- #8

DEvens

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This guy keeps talking about the skro-din-jers equation. It really jars me out of trying to understand what he is saying.

- #9

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Yeah, I know. But you get used to it after a while. And since I have been listening to all his videos on this chapter, I finally get what he is saying!

This guy keeps talking about the skro-din-jers equation. It really jars me out of trying to understand what he is saying.

- #10

mfb

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You'll need calculus and linear algebra to understand it fully, but the basic idea:What is the equation for eigenstates?

You apply some "operation" on a function (like taking the derivative) and get another function. If the new function is a multiple of the old function, this function is an eigenstate (=eigenfunction) for this "operation" (operator).

The exponential function is an eigenfunction for the derivative operator, because its derivative is 1 times the original function. That specific example cannot be applied to quantum mechanics and has some other issues but it should give the idea.

- #11

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Thanks!You'll need calculus and linear algebra to understand it fully, but the basic idea:

You apply some "operation" on a function (like taking the derivative) and get another function. If the new function is a multiple of the old function, this function is an eigenstate (=eigenfunction) for this "operation" (operator).

The exponential function is an eigenfunction for the derivative operator, because its derivative is 1 times the original function. That specific example cannot be applied to quantum mechanics and has some other issues but it should give the idea.

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