6.2. b = 0,73
6.3. ) r = 0,59 ; ) r = 0,034
6.4. ) ρ = 0,23 ; ) r = 0,56
6.5. p ≈ 2sqrt(2mT/[1+(2bT/Ze2)2])
6.6. Te = 4
6.8. ) cos(υ/2) = b/(R+r); ) dP = 1/2 sin υ dυ; ) P = 1/2
6.9. 3,3*10-5
6.12. ) 1,6*106; ) N = 2,0*107
6.14. ΔN/N = 0,6
6.15. ΔN/N = 1,4*10-3
6.16. Δσ = 0,73
6.18. t = 15
6.19. t ≈ 13
6.25. B = 125
6.27. , λ6 → 4 = 2,63
6.30. He+
6.32. 97,3, 102,6 121,6
6.33. n = 5
6.34. R = 2,07*1016 -1
6.37. E = 54,4 (He+)
6.38. E = 79
6.39. v = 2,3*106 /
6.41. v = 3,25 /
6.45. ) En = n2π2h2/2ml2; ) En = n2h2/2mr2; ) En = nh*sqrt(α/m); ) En = -mα2/2h2n2
6.47. ED-EH = 3,7 , λH - λD = 33
6.48. ) 0,285 , 2,53 , 0,65 ; ) 106 , 6,8 , 0,243
6.49. 123, 2,86 0,186
6.50. 0,45
6.51. λ = 8,6
6.53. λ = 128
6.54. λ = 0,09
6.55. λ = 2πh/sqrt(2mT(1+T/2mc2)), T < 20,4 ( ) 37,5 ( )
6.58. v = 2,0*106 /
6.59. Δx = 4,9
6.60. U0 = 0,15
6.61. d = 0,21
6.62. d = 0,23 ± 0,04
6.63. ) n = 1,05; ) U/Ui > 50
6.65. -
6.66. 1*104, 1*10 1*10-20 /
6.70. T ≈ 1
6.71. Δv/v = 1*10-4
6.73. hω/2
6.82. P = 19,5%
6.83. ) E = (n12+n22+n322h2/2ma2, n1, n2, n3 - , ; ) ΔE = π2h2/ma2; ) n12+n22+n32 = 14 E = 7π2h2/ma2
6.84. ...
6.85. ) ; ) (l2U0)1 = π2h2/8m, (l2U0)n = (2n-1)π2h2/8m
6.90. α = mω/2h, E = hω/2, ω = sqrt(k/m)
6.92. ) r = r1; ) <F> = 2e2/r12; ) <U> = -e2/r1
6.93. φ0 = e/r1
6.95. ) D ≈ exp(-2l*sqrt(2m(Uo-E))/h); ) D ≈ exp(-8l*sqrt(2m)(Uo-E)3/2/(3hUo))
6.96. D ≈ exp[-πl/h sqrt(2m/U0)(U0-E)]
6.97. -0,41 S- -0,04 P-
6.100. 0,82 (3S → 2P) 0,68 (2P → 2S)
6.105. 4P: h sqrt(3)/2, h sqrt(15)/2, h sqrt(35)/2; 5D: 0, h sqrt(2), h sqrt(6), h sqrt(12), h sqrt(20)
6.106. ) = h sqrt(63)/2; ) = 2h sqrt(5)
6.108. 3, 4, 5
6.114.
6.122. ) 3P0; ) 4F9/2
6.133. λ = 154
6.136. U = 15
6.138. Z = 29
6.144. ) -2/3; ) 0; ) 1; ) 5/2; ) 0/0
6.145. ) sqrt(12)μB; ) 2 sqrt(3/5)μB; ) (8/sqrt(3))μB;
6.148. μ = 3 sqrt(7/5)μB
6.151. 5F1
6.156. ) ; ) ; ) (g = 0)
6.158. ) ; ) ; ) ; ) ( )
6.169. M = 3,5h
6.190. U0 = 48,6 /
6.196. = 28 , hk ~ 10-19 */
6.197. ) T = (3π2n)2/3h2/2m; ) <T> = 3/5 T
6.198. η = 65%
6.199. 0,93
6.200. T ≈ 3*104
6.201. ΔE = 2*10-22
6.205. A = 4,5
6.206. n = 1,02
6.207. E = 0,33
6.208. α = -0,05 -1
6.209. ΔE = 1,2 0,06
6.210. τ = 0,01
6.212. |uo--uo+| = 0,20 2/(*)
6.213. n+/n- = 4,0
6.214. ) P = 1-exp(-λt); ) τ = 1/λ
6.215. 1/4
6.216. 1,2*1015
6.217. τ ≈ 16
6.218. T = 5,3 .
6.220. λ = 1,1*10-5 -1, τ = 1,0
6.221. T = 4,5*109 , A = 1,2*104 ./
6.222. 4,1*103
6.223. 2,0*109
6.225. V = 6
6.229. N2(t) = ...; ) tm = ...
6.231. N3(t) = ...
6.241. 0,32 0,65
6.242. T = 0,11
6.243. 40 /
6.244. 0,45 c, c -
6.245. Δε/ε = 3,6*10-7
6.246. v = 0,22 /
6.247. v = 65 /
6.248. h = 4,6
6.250. ) η = 0,89; ) η = 2/3
6.251. υ = 30°
6.252. 2*1011 /3, 1*1038 /3
6.253. ) d; ) F17; ) α; ) Cl37
6.254.
6.255. Be8, E = 56,5
6.256. ) 8,0 ; ) 11,5 8,7 ; ) 14,5
6.258. E = 11,9
6.259. ) 8,0225 ...; ) 10,0135 ...
6.260. Q = (E3+E4)-(E1+E2)
6.261. ) 8,2*1010 , 2,7*106 ; ) 1,5
6.262. 5,74*107 ; 2*104
6.288. N = 1,3*105
6.289. N = 0,8*1019 -1
6.290. ) N/N0 = 4*102; ) T = 10
6.291. 0,05, 0,4 9
6.308. 1, 2 3