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symbolic calculation in quantum mechanics

Hello all,   I want to reproduce with Mathcad some symbolic quantum mechanics calculations done with Mathematica.  It is just standard homework question.  Occasionally, the correct formal equation just...

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Re: symbolic calculation in quantum mechanics

These integrals are too difficult for the Mupad symbolic engine in M15 to deal with.  Since Hermite polynomials have a simple recurrence relationship it's possible the approach illustrated below might...

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Re: symbolic calculation in quantum mechanics

Hi Allan,   It looks great.   Thanks,    Pierre

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Re: symbolic calculation in quantum mechanics

Great answer

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Re: symbolic calculation in quantum mechanics

Hi,   I have got a strange result.The sum of squared matrix elements gives "55" where it should show just "5".When I check the elements individually, it shows that the sum should be 5 !What happened ?...

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Re: symbolic calculation in quantum mechanics

If you don't vectorize, the product of two vectors is a scalar: the dot product. Also, you can't sum over the range of n=0 to 10, because n does not appear as an index in the expression. Just use a...

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Re: symbolic calculation in quantum mechanics

It looks better. Thanks again, Pierre

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Re: symbolic calculation in quantum mechanics

I chanced upon this today, and wondered if you were pursuing the inner product, not the sum of the elements squared...note the assignment of a symbolic result to a variable...The latest Mathematica has...

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Re: symbolic calculation in quantum mechanics

Hi Rich,    Thanks for the feedback.    Sorry for the late reply.    I did not have a chance to do symbolic QM calculation since the last semester.    But it looks like you provided the right path....

View Article


symbolic calculation in quantum mechanics

Hello all, I want to reproduce with Mathcad some symbolic quantum mechanics calculations done with Mathematica. It is just standard homework question. Occasionally, the correct formal equation just...

View Article

Image may be NSFW.
Clik here to view.

Re: symbolic calculation in quantum mechanics

These integrals are too difficult for the Mupad symbolic engine in M15 to deal with. Since Hermite polynomials have a simple recurrence relationship it's possible the approach illustrated below might...

View Article

Re: symbolic calculation in quantum mechanics

Hi Allan, It looks great. Thanks,  Pierre

View Article

Re: symbolic calculation in quantum mechanics

Great answer

View Article


Image may be NSFW.
Clik here to view.

Re: symbolic calculation in quantum mechanics

Hi, I have got a strange result.The sum of squared matrix elements gives "55" where it should show just "5".When I check the elements individually, it shows that the sum should be 5 !What happened ?...

View Article

Image may be NSFW.
Clik here to view.

Re: symbolic calculation in quantum mechanics

If you don't vectorize, the product of two vectors is a scalar: the dot product. Also, you can't sum over the range of n=0 to 10, because n does not appear as an index in the expression. Just use a...

View Article


Re: symbolic calculation in quantum mechanics

It looks better. Thanks again, Pierre

View Article

Image may be NSFW.
Clik here to view.

Re: symbolic calculation in quantum mechanics

I chanced upon this today, and wondered if you were pursuing the inner product, not the sum of the elements squared...note the assignment of a symbolic result to a variable...The latest Mathematica has...

View Article


Image may be NSFW.
Clik here to view.

Re: symbolic calculation in quantum mechanics

Hi Rich, Thanks for the feedback. Sorry for the late reply. I did not have a chance to do symbolic QM calculation since the last semester. But it looks like you provided the right path.  Note that with...

View Article
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