Griffiths Introduction to Elementary Particles · Problem 4.34

Bound States — David J. Griffiths

Physics — QFT · parity-operator-eigenvalues

Problem

(a) Using equation (4.52), prove that the eigenvalues of

P

are

\pm 1

. (b) Show that any function

f(x, y, z)

can be expressed as the sum of an eigenfunction

f_+(x, y, z)

with eigenvalue

+1

and an eigenfunction

f_-(x, y, z)

with eigenvalue

-1

. Construct the functions

f_+

and

f_-

, in terms of

f