Квантовая механика. Мокшин А.В - 33 стр.

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L = 2¯h/
√
2mE
min
= 2.9 · 10
−15
∆υ ∼ 10
6
T
min
=
p
2
min
2m
=
2¯h
2
me
2
= 15
∆ϑ
ϑ
=
2¯h
l
√
2mT
= 1.2 · 10
−4
∆υ/υ = 0.01%
E
min
= 2¯h
2
/ml
2
0.62% 62%
∆T =
p∆p
m
,
∆T
T
=
2∆p
p
,
∆x
λ
=
∆xp
2π¯h
=
1
π
T
∆T
≈ 2 · 10
3
E = 0.2
3 · 10
−8
∆x ∼ ¯h/
√
3mkT
                                                                               # J&G # "!S# $&% 6
                     N !44 5 "!4 P;# "'&()"# 4 ,$# I # /# "!41 5 # J 2


  N                   √
                L = 2h̄/ 2mEmin = 2.9 · 10−15
                                                                        35
  N @                                !5
                ∆υ ∼ 106               ?
  N N
                Tmin =
                                   p2min
                                         =
                                           2h̄2
                                                = 15
                                                             %        ∆ϑ
                                                                          = √
                                                                              2h̄
                                                                                  = 1.2 · 10−4
                                                                                               5
                                   2m      me2                          ϑ   l 2mT
  N Q
                ∆υ/υ = 0.01%
                                               5
  N            D     5
  N 
                Emin = 2h̄2 /ml2
                                                    5
  N                      %               5
                0.62%               62%
  N 
                ∆T =
                               p∆p
                                   ,
                                                   ∆T
                                                      =
                                                        2∆p
                                                            ,
                                                                       ∆x
                                                                          =
                                                                            ∆xp
                                                                                 =
                                                                                   1 T
                                                                                        ≈ 2 · 103
                                                                                                  5
                                m                   T    p             λ    2πh̄   π ∆T
  N    




                E = 0.2
                                     5
N         




                3 · 10−8
                               5
N                   √
                ∆x ∼ h̄/ 3mkT
                              5




                                                                  TT

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