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I can derive the equation, i know its main features for the electron in an atom. but i dnt know the physical meaning of the wave function of an atom and i cnt distinguish between the angular and radial probability function.....please help

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Your topic, "Problem with Schrodinger equation" made me think that you challenged Schrodinger as being incorrect, instead of your having a "Question about the Schrodinger equation." Share on other sites

i cant challenge him........ he is more than i am...but thanks anyway.

Your topic, "Problem with Schrodinger equation" made me think that you challenged Schrodinger as being incorrect, instead of your having a "Question about the Schrodinger equation." I can derive the equation, i know its main features for the electron in an atom. but i dnt know the physical meaning of the wave function of an atom and i cnt distinguish between the angular and radial probability function.....please help

pls can you help?°

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...but i dnt know the physical meaning of the wave function of an atom and i cnt distinguish between the angular and radial probability function.....please help

The physical meaning is as a probability distribution; $|\psi|^{2}$ is the probability density of finding a particle in a given place at a given time. All the physical information about the partice is "hidden" in the wave function.

As for the second part, you mean you want to write the wave function as a radial part times a spherical harmonic? This will be well spelled out in any quantum mechanics book.

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If you can derive the equation you will know that it follows the Hamiltonian approach to mechanics, but introducing the quantum interpretation of momentum.

This leads to a differential equation in the variation of a quantity we call $\Psi$ in space and time.

Now, $\Psi$ is a complex quantity it is not real so has no physical reality.

To obtain significance in the real world we multiply $\Psi$ by its complex conjugate and take the square root. This leads to a real number.

If we normalise this by equating the integral over the entire space to 1 we obtain ajb's quantity such that we can interpret it as the probability of finding a particle between x and (x+dx) in one dimension.

note

$|\Psi | = \sqrt {\Psi {\Psi ^*}}$

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thanks alot Studiot

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... is a complex quantity it is not real so has no physical reality...

When a complex number represents the amplitude and phase of a sine wave, it has a strong reality and is concrete to many people, electronicians for instance.

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