next up previous contents
Next: Rigid shape of the Up: A Wave Packet in Previous: Effective equations for A(t)

Solutions of constant width

  Some of the solutions to the TDSE for the SHO maintain their shape as they move through time. The function A(t) controls the width of the solution tex2html_wrap_inline489 . Find the value of A such that A(t) is a constant and does not vary with time. Find general solutions for B(t) and C(t) when A(t) takes this special constant value, tex2html_wrap_inline517 . Do not use the symbol `` tex2html_wrap_inline517 '' in your answers but rather the value of tex2html_wrap_inline517 in terms of m, tex2html_wrap_inline481 and tex2html_wrap_inline527 .



Prof. Tomas Alberto Arias
Thu Mar 20 17:04:34 EST 1997