By the two Fourier transform rules in part (b),
(1)
Consequently transforming the differential equation gives
(2)
or
(3)
The inverse Fourier transform gives the reverse implication under the same regularity hypotheses. This expresses the Fourier symmetry of the quantum harmonic oscillator operator.

Ancestors (12)

  1. 4
  2. Paper 1
  3. 2023
  4. Past exam of the mathematics course of the year 2 of the natural sciences course of the University of Cambridge
  5. Mathematics course of the year 2 of the natural sciences course of the University of Cambridge
  6. Year 2 of the natural sciences course of the University of Cambridge
  7. Year of the natural sciences course of the University of Cambridge
  8. Natural sciences course of the University of Cambridge
  9. Course of the University of Cambridge
  10. University of Cambridge
  11. List of universities
  12. Home

View article source

Discussion (0)

New discussion

There are no discussions about this article yet.

Articles by others on the same topic (0)

There are currently no matching articles.
See all articles in the same topic Create my own version