MCQ''s - Simple Applications of Schrodinger Equation Notes | EduRev

: MCQ''s - Simple Applications of Schrodinger Equation Notes | EduRev

 Page 1


Module 4: Simple Applications of Schrodinger Equation  
 
4.1    For a potential energy variation of the form 
 
  
0 for 0 0 0
everywhereelse
V x, y,z x L, y L, z L
 
 
the energy eigenvalues are given by  
222
; 1 2 3
x y z x y z
E K n n n n ,n ,n , , ,.... 
(a)   
22
2
2
K
L
?
 
(b)   
22
2
8
K
L
?
 
(c)  
2
2
2
K
L
?
 
(d)   
2
2
8
K
L
?
 
 
[Answer (a)] 
 
4.2     For a potential energy variation of the form 
 
  
0 for 0 0 0
everywhereelse
V x, y,z x L, y L, z L
 
 
the   eigenfunctions     are given by     sin sin sin
y
x z
n
n n
x, y,z N x y z
L L L
    
where   1 2 3
x y z
n ,n ,n , , ,... where  N   is the normalization constant which is given by 
 
(a)  
12
2
L
  
(b)   
12
3
4
L
 
(c)  
12
3
2
L
 
(d)   
12
3
8
L
 
 
[Answer (d)] 
 
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