Bharathiar University 2004 M.Sc Physics Quantum Mechanics-I - Question Paper

(For the candidates admitted from 2002 and awards) M.Sc. DBGEEE EXAMINATION, APRIL 2004. First Semester'

Pliysks

QUANTUM MECHANICS I

Time: Three hours    Maximum: 100 marks

SECTION A (20 x 1 = 20 usuries)

Answer ALL the questions.

Choose the eosreei answer:

1.    If 1P) =|A)+1B) then {?] is given by,

(a) {A\B)    <b> (A|+(B!

<A|+|B)    W3 jA>+<BJ.

2,    The maximum . value of binding energy of hydrogen molecule by variation method is

(a) 30.75 eV ' (b) 25.75 eV

W \* sr    ,    lo i    8, Area under the carte between -~*    "        Wmt *    .    Wi is proportional-*! -

*    .     Ca) f¹    ' (h) t

/' (c) m    .(d)' lit³,

4 JJis jfwby

{a) fiL_t ⁴ (b) ~4

M

(c) -iti,    id) 4-

5. The continuity equation is given by

(a) %+& ' (b) 2f + I>wS0

. &     ai ²

*    Cc) ~+Gra4S.*0 (d) ~+Dw|>0.

31    3

Fill up the blanks :

I

I

^S: . .    6. A state feacrr. caa be"' expressed by

,    a..........................................la an infinite dimensional space by

imagin; a* ²r each function tp_t.

#

i

8. The four possible combinations oi 'V and "m* for

n 2 in the case ef tijdrogea atom are    '