{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# ps04 - Homework(4 for Physics 316 Modern Physics...

This preview shows page 1. Sign up to view the full content.

Homework (4) for Physics 316, Modern Physics I (Hoffstaetter/Drasco/Thibault) Due Date: Friday, 02/18/05 - 9:05 in 132 Rockefeller Hall Exercise 1: Show that whenever a solution Ψ( x, t ) of the time-dependent Schr¨ odinger equation sepa- rates into a product Ψ( x, t ) = F ( x ) · G ( t ), then F ( x ) must satisfy the corresponding time-independent Schr¨ odinger equation for some energy E and G ( t ) must be proportional to e - i E ~ t . Exercise 2: A particle is in a stationary state in the potential V 1 ( x ). How do the quantized energies for V 1 ( x ) differ from those for a potential V 2 ( x ) = V 1 ( x ) + V 0 that is larger over all x by a constant value V 0 . Show that the spatial wave functions agree for the two potentials, except for an arbitrary complex phase.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

Ask a homework question - tutors are online