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To whom it may concern,

I am having issues with a given assignment in my quantum mechanics class. The instructions listed below are all I have to go on since the prof. is not available for discussion and I have searched through at least 15 articles regarding plane waves and a dozen textbooks and still come up empty on how to definitively add multiple plane waves. I wouldn't be posting on a forum, if I were not to try everything else beforehand myself.

Any help is greatly appreciated and I apologize for my bad English.

-Write a program for adding two or more plane waves [equation: y(x) = Σ^n _i=1 Ai sin(ki X) ]

-How to choose amplitudes Ai and wave numbers ki for any given n so that the wave packet is as localized as possible?

I am having issues with a given assignment in my quantum mechanics class. The instructions listed below are all I have to go on since the prof. is not available for discussion and I have searched through at least 15 articles regarding plane waves and a dozen textbooks and still come up empty on how to definitively add multiple plane waves. I wouldn't be posting on a forum, if I were not to try everything else beforehand myself.

Any help is greatly appreciated and I apologize for my bad English.

-Write a program for adding two or more plane waves [equation: y(x) = Σ^n _i=1 Ai sin(ki X) ]

-How to choose amplitudes Ai and wave numbers ki for any given n so that the wave packet is as localized as possible?