Задачи по квантовой механике. Часть 2. Корнев А.С. - 46 стр.

UptoLike

ВУЗ: 

ВГУ | Воронеж

Составители: 

Рубрика: 

r
2
d
3
r = r
2
dr sin θ dθ dϕ
r dr
w
10
(r) = f
2
10
(r)r
2
= R
2
10
(r)
R(r) = r
−1
f(r)
w
10
(r) ∼ r
2
exp
µ
−
2Zr
a
0
.
w
10
(r)
w
10
(r)
w
10
r
0
=
a
0
Z
f
10
(r) R
10
(r) = r
−1
f
10
(r)
R
10
(r)
1s
r
¤
n = 2
n = 2 n = 2 l = 0 m = 0
Ψ
200
n = 2 l = 1 m = 1 Ψ
211
n = 2 l = 1 m = 0 Ψ
210
n = 2 l = 1
                                                              1   ?
,6- /- 2             9 7 9 ? N%! -- * ^ (! &( *!#"%Q\!#!##
  "%  ]-* aN *  d3 r = r2 dr sin θ dθ dϕ 7BM(%!#"%-."H"%/
                                     r2
   *- 2 -Q &("X   4  2 %!#EFQ !E !8- ^ N8 L&(O
+ %Q\!8"N"%QPT9 7 9 ? !8-# F!!  %.F"6",;-%!#.   2 %!8
  8/   2 ]-"3 ! &(!#" $!8-P/ !  r \- 5TQ dr A
                                        w10 (r) = f10  2
                                                          (r)r2 = R10     2
                                                                             (r)
                                                                                                               9 7 ??
    1 ; V ^                       7G()W9 7 0/? !8-#  ^ 
                             R(r) = r−1 f (r)3
                                                                      µ           ¶
                                                             2Zr
                                          w10 (r) ∼ r2 exp −                          .
     b "           N)  ^ )**S )*"O-c 
                                                              a0

   ! 2  ;!#"\ "O!#  &(%"X w (r) 7
    n &("4&(%"X w10(r) ;# !#6-10 a
!7 7 7 `"O!# 6-. ) *  w ^
 "O"L*!8-/,;"6)*. ^ %!8+ ! 2 ;10  
                a0 *7 l  !#. 6  2  \Q 6\ 
   6-Z,]- "  !#O-+  X 7
r0 =
     I %   H6 2  ! 2 N
      !#"%% / !#7
                                                                                                  ##
                                                                                          ‚&ƒU„Y I W


              !#;%!#N 7
          R! - %*!# &(%"X                 !8;-.) %6. R (r) = r−1 f (r) ^  &(%"O
X 2 R (r) N*  -  2 . *%% 10  \c 10 0 8+ 
                                              f10 (r)
    9 7=m ? 7BG,10! 8* 2 )  2 %!#+ a! E !8-  -Q &("X ^ ;Q8* "
     9 7 ? ? a;-*  T\! EFQ> /7
               ^    2 %!8. N6 3 2 ]- "  ;) -. 
   6-PFX   1s !#%!8 2 P !# +  2 - 2   ! 2  /- QB7 4 6" ;
 N-,. 6\U8 r   ,. 6 6  ! 2 ] "O!#; X6-. ^ 6" >6-.EFQ )*
   % TN 3" E  7                                                                              ¤
f+(*,+$BG G )          < i F^B2P_4 EDTi 4WB K G 6 EDT Z 4 G 6 E=G 4 T Z @8 E g c B i 5 G 5fF G P E B i 5 G
                                                                                              
                   

 k E  E B9>V\ H 6_ K B E B c 8Qn
x(y{z|y{}~€yI M(                                                     8
                                      ! 241 )-E H!#%!8 2  2 A n = 2 ^ l = 0 ^ m = 0
9Ψ ?                   ^   n=2
                                 ^
             n = 2 l = 1 m = 1 Ψ211
                                               9        ?             ^       ^
                                                            n = 2 l = 1 m = 0 Ψ210
                                                                                          9        ?        ^
                                                                                                       n=2 l=1
                                                                                                                         ^
    200

Страницы