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cwhitis

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- Thread starter cwhitis
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In summary, expectation values for the radial wavefunction are a way to measure the average value of a physical quantity for a given quantum state. To calculate them, the square of the wavefunction is multiplied by the variable in question and then integrated over all possible values. These values can change over time and are used in practical applications such as predicting particle behavior and understanding the properties of atoms and molecules.

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cwhitis

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- #2

javiergra24

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Use the matrix representation for the basis l=2.

Remember that

[tex]

\mathbf{L_z} = m\hbar

[/tex]

Remember that

[tex]

\mathbf{L_z} = m\hbar

[/tex]

Last edited:

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cwhitis

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Thanks but I still don't understand, could you work it out?

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vela

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- #5

javiergra24

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Expectation values for the radial wavefunction are a way to measure the average value of a physical quantity, such as energy or position, for a given quantum state. It is calculated by integrating the square of the wavefunction over all possible values of the variable in question.

The calculation of expectation values for the radial wavefunction involves taking the square of the wavefunction and multiplying it by the variable in question, then integrating over all possible values of the variable. This can be represented mathematically as *<Ψ(r)>Ψ(r) * r dr*.

Expectation values for the radial wavefunction provide valuable information about the properties of a quantum system. For example, the expectation value of energy can indicate the stability of an atom or molecule, while the expectation value of position can give insight into the location of an electron in an atom.

Yes, expectation values for the radial wavefunction can change over time as the quantum state of a system evolves. This is because the wavefunction itself can change over time, leading to different results for the expectation values.

Expectation values for the radial wavefunction are used in a variety of practical applications, particularly in the field of quantum mechanics. They can help predict the behavior of particles in a system, aid in the design of new materials, and provide insight into the properties of atoms and molecules.

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