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Old Jul 21st 2010, 02:45 PM   #1
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Commuting operators

Hi there,

I'm neither a physicist or a mathematician, so I'm having a bit of trouble understanding commutative properties of operators. Here is an example question, if anyone could help show me how to solve it, it would be greatly appreciated.

Show that Lz commutes with T and rationalize that in atoms, wavefunctions are eigenfunctions of Lz. Lz is given, but T is not. T may refer to a previously used kinetic operator for HeH+, or it may just be a general kinetic operator.

Lz = - i*hBar(x*d/dy - y*d/dx)

Given an actual wavefunction, I could solve this, but I don't have a clue what to do without one.

Thanks
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Old Sep 26th 2010, 05:13 AM   #2
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Originally Posted by CorruptioN View Post
Hi there,

I'm neither a physicist or a mathematician, so I'm having a bit of trouble understanding commutative properties of operators. Here is an example question, if anyone could help show me how to solve it, it would be greatly appreciated.

Show that Lz commutes with T and rationalize that in atoms, wavefunctions are eigenfunctions of Lz. Lz is given, but T is not. T may refer to a previously used kinetic operator for HeH+, or it may just be a general kinetic operator.

Lz = - i*hBar(x*d/dy - y*d/dx)

Given an actual wavefunction, I could solve this, but I don't have a clue what to do without one.

Thanks
Post #2 here: http://www.physicshelpforum.com/phys...efunction.html

suggests the approach. If the question refers to T, then it must be defined somewhere. A defnition would be useful
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