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13
G
Ecos
m
kG
+=
θω
,
]^_
m2
G
E
2
G
=
.
Bihkdhevdmdhkbgmky\ey_lkyh]jZgbq_gghcnmgdpb_c
|cos
θ
|=1,
1cos
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E
1
G
≤=
−
≤−
θ
ω
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m
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=+≤≤−=
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ahgghcko_f_baf_gbfh[hagZq_gbyIhkdhevdmgZkbgl_j_kmxlwe_dljhgu\
dhg_qghf khklhygbb h[hagZqbf q_j_a k
\hegh\hc \_dlhj dhg_qgh]h
khklhygby Lh]^Z \hegh\hc \_dlhj gZqZevgh]h khklhygby [m^_l k – G.
13
kG
ω= cos θ + E G ,
m
]^_
G2
EG = .
2m
Bihkdhevdmdhkbgmky\ey_lkyh]jZgbq_gghcnmgdpb_c|cos θ|=1,
ω − EG
−1≤ = cos θ ≤ 1
kG / m
LZdbfh[jZahfagZq_gbyωy\eyxlkyh]jZgbq_ggufb
kG kG
ω1 = Eg − ≤ ω ≤ Eg + = ω2
m m
<_ebqbgZGy\ey_lky]jZgbp_cahgu;jbeexwgZLZddZd\s_ehqguo
f_lZeeZoih\_joghklvN_jfbbf_xsZyjZ^bmkkFg_dZkZ_lkyih\_joghklb
i_j\hc ahgu lh kF< G b ihjh]h\Zy qZklhlZ hij_^_ey_lky e_\hc qZklvx
g_jZ\_gkl\Z
kG
ω g = Eg − >0
m
M]eh\Zy `_ aZ\bkbfhklv nhlhwfbkkbb hij_^_ey_lky gZijZ\e_gb_f
^\b`_gby nhlhwe_dljhgh\ >ey m^h[kl\Z jZkkfhlj_gby \ jZkrbj_gghc
ahgghcko_f_baf_gbfh[hagZq_gbyIhkdhevdmgZkbgl_j_kmxlwe_dljhgu\
dhg_qghf khklhygbb h[hagZqbf q_j_a k \hegh\hc \_dlhj dhg_qgh]h
khklhygby Lh]^Z \hegh\hc \_dlhj gZqZevgh]h khklhygby [m^_l k – G.
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