文档介绍：Problems and Solutions
on Quantum Mechanics
Major American Universities Ph. D.
~ualifyingQuestions and Solutions
Problems and Solutions
on Quantum Mechanics
Compiled by:
The Physics Coaching Class
University of Science and
Technology of China
Edited by:
Yung-Kuo Lim
World Scientific
Singapore New Je~eyLondon -Hang Kong
PREFACE
1- BASIC PRINCIPLES AHD ONE-DIkR3NSfONALMOTIONS
Qwhmphamem am oftea n&gUgkblein t2re 'macm~lcepc" wr~dd.
Sbw this numaidly for the Eolhing cam
{a)The ******@Zibudeof the mwiat &tb# for a pWumof length
l=irnmdmassrn=l&.
(bj Th tmdhg prob&Ility for a wrbb of mass rn = 5 g moving d ra
speed of 161 cairn a rigid obWof height B = I m 4 width
w=lm
(c) The ,Wcaa%ianof a Wis baa wf ,mass m = kg maat B
sped e! = by a widow of sic-l v ; ma.
( W'C(~M~)
Thus >thetsempoiartr mcWion,of a mWwmpi'c pehdduin is eagtigibk*
If wer& the width and height of the rigid oMact as the width
and he&ht d a gravt~poW bmh, the tw&g grob&&y is
(a) The pwn mdtqth.
The ektzon Thomon CWB &ion.
'(4 The Bohr radius of hydrqgen.
Id) The imhtion for atomic hym.
(k) The byperfine ~plittingof the gmund4ate ,ener$gr lewd in atomic
wf%m-
[f) The -***@tic dipole moment of %iP(3 = 3) nudeus.
(%)The proton-neutron m&= mm.
(h) The Iifetime of fief?~EPOn.
[i) The Wng energy uf a herium-4 audms.
(j)The radius ofthe lapst stable nuclew.
(k) TL Wiof a # maimon.
(1) The lifetime of a p- meason.
[a] A, = h/no= 2-43 Y 8.
(b) o = $$= X m2.
(c) a = 4 = A.
m!e
(dl I E & = 13,6-eV.
ce) The splitting of the groWz@ emgy W is
m p = x lokw J T-'.
(g] Am = rra, - pn, .= -23 x 10-rn kg.
(h) r,= 16min=9~***@8.
I (i) E=4 x '7MeV=IMeV.
Cj)Thradltrsr canmpoadstoa regionofspacein which~1~dmrEaxm
i$
(k) T = x 10-'~s.
(1) The decay of p' is hp wmk interaction, md so T = x lob6 a.
Explh whrnt mu hdabout qmti%atbaofxadiatidor m&&l
sys