next up previous contents
Next: Inverse Transform Up: Fourier Transforms: The Physicist's Previous: Probabilistic Interpretation Normalization

Consevrvation of Probability tex2html_wrap_inline296 Parseval's Theorem

  Compute tex2html_wrap_inline420 from tex2html_wrap_inline422 using the definition (1) and verify that tex2html_wrap_inline420 is properly normalized so long as tex2html_wrap_inline422 is properly normalized. Explain why in Quantum Mechanics it is important that this be the case.

Hint: You can do the integral here using the same Gaussian integration technique introduced in Problem Set 2.


Prof. Tomas Alberto Arias
Fri Mar 7 12:59:40 EST 1997