Class notes Quantum mechanics and simple quantum mechanical structures

UNIT -2 PHYSICS
QUANTUM MECHANICS AND SIMPLE QUANTUM
MECHANICAL STRUCTURES




Shreya Prasad

, *
Eigenvalue functions :




§Yn=✗n4n- Eigenfunction
1 ( Eigenvalue
operator .




In a traveling wave :



-

il wt ku )-




UH ,t)
( w=¥- k=pz)
e
'
=
:




e-
Itt (Et -




pm)
41Mt ) =




"
1¥ ¥-4
= -




E =
ihd Energy operator .




dt



dd¥= 1¥ 4
2.




p^ it momentum operator
day
= -




3.
[1%5--4+5] 4
ddfei-PE.tn :-( ¥m=kE)
✗ =




dq÷= ¥mkE
-
4




ÑE
If dd÷ kinetic energy operator
=
.




,




Schrodinger's equation derivation :




(E = KEEP E) Y