白山羊さんの宿題.PDF

Similar documents
Taro13-芦北(改).jtd

Taro13-宇城(改).jtd

TOP URL 1

[2] ATMUKN [3] (ATMU ATMUKN)[4] ( ) X tr = f photo photo + f incoh incoh + f pair pair = E h 0 (2) h 0 E 1 f photo =1; X h 0 f incoh f pair =1;

V(x) m e V 0 cos x π x π V(x) = x < π, x > π V 0 (i) x = 0 (V(x) V 0 (1 x 2 /2)) n n d 2 f dξ 2ξ d f 2 dξ + 2n f = 0 H n (ξ) (ii) H

66 σ σ (8.1) σ = 0 0 σd = 0 (8.2) (8.2) (8.1) E ρ d = 0... d = 0 (8.3) d 1 NN K K 8.1 d σd σd M = σd = E 2 d (8.4) ρ 2 d = I M = EI ρ 1 ρ = M EI ρ EI

all.dvi

H 0 H = H 0 + V (t), V (t) = gµ B S α qb e e iωt i t Ψ(t) = [H 0 + V (t)]ψ(t) Φ(t) Ψ(t) = e ih0t Φ(t) H 0 e ih0t Φ(t) + ie ih0t t Φ(t) = [

医系の統計入門第 2 版 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 2 版 1 刷発行時のものです.

Note.tex 2008/09/19( )

LLG-R8.Nisus.pdf

.2 ρ dv dt = ρk grad p + 3 η grad (divv) + η 2 v.3 divh = 0, rote + c H t = 0 dive = ρ, H = 0, E = ρ, roth c E t = c ρv E + H c t = 0 H c E t = c ρv T


秋植え花壇の楽しみ方

<82D282A982C1746F95F18D908F57967B95B E696E6464>


1 (Berry,1975) 2-6 p (S πr 2 )p πr 2 p 2πRγ p p = 2γ R (2.5).1-1 : : : : ( ).2 α, β α, β () X S = X X α X β (.1) 1 2

The Physics of Atmospheres CAPTER :

表1-表4_05

PDF

素粒子物理学2 素粒子物理学序論B 2010年度講義第2回


1 (1) () (3) I 0 3 I I d θ = L () dt θ L L θ I d θ = L = κθ (3) dt κ T I T = π κ (4) T I κ κ κ L l a θ L r δr δl L θ ϕ ϕ = rθ (5) l

(e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ,µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) [ ] [ ] [ ] ν e ν µ ν τ e µ τ, e R,µ R,τ R (2.1a

meiji_resume_1.PDF

Einstein 1905 Lorentz Maxwell c E p E 2 (pc) 2 = m 2 c 4 (7.1) m E ( ) E p µ =(p 0,p 1,p 2,p 3 )=(p 0, p )= c, p (7.2) x µ =(x 0,x 1,x 2,x

Bethe-Bloch Bethe-Bloch (stopping range) Bethe-Bloch FNAL (Fermi National Accelerator Laboratory) - (SciBooNE ) SciBooNE Bethe-Bloch FNAL - (SciBooNE

4 Mindlin -Reissner 4 δ T T T εσdω= δ ubdω+ δ utd Γ Ω Ω Γ T εσ (1.1) ε σ u b t 3 σ ε. u T T T = = = { σx σ y σ z τxy τ yz τzx} { εx εy εz γ xy γ yz γ


7 π L int = gψ(x)ψ(x)φ(x) + (7.4) [ ] p ψ N = n (7.5) π (π +,π 0,π ) ψ (σ, σ, σ )ψ ( A) σ τ ( L int = gψψφ g N τ ) N π * ) (7.6) π π = (π, π, π ) π ±

II ( ) (7/31) II ( [ (3.4)] Navier Stokes [ (6/29)] Navier Stokes 3 [ (6/19)] Re

Contents 1 Jeans (

2007年08月号 022416/0812 会告

ε

positron 1930 Dirac 1933 Anderson m 22Na(hl=2.6years), 58Co(hl=71days), 64Cu(hl=12hour) 68Ge(hl=288days) MeV : thermalization m psec 100

50 2 I SI MKSA r q r q F F = 1 qq 4πε 0 r r 2 r r r r (2.2 ε 0 = 1 c 2 µ 0 c = m/s q 2.1 r q' F r = 0 µ 0 = 4π 10 7 N/A 2 k = 1/(4πε 0 qq

64 3 g=9.85 m/s 2 g=9.791 m/s 2 36, km ( ) 1 () 2 () m/s : : a) b) kg/m kg/m k

5 H Boltzmann Einstein Brown 5.1 Onsager [ ] Tr Tr Tr = dγ (5.1) A(p, q) Â 0 = Tr Âe βĥ0 Tr e βĥ0 = dγ e βh 0(p,q) A(p, q) dγ e βh 0(p,q) (5.2) e βĥ0

5 1.2, 2, d a V a = M (1.2.1), M, a,,,,, Ω, V a V, V a = V + Ω r. (1.2.2), r i 1, i 2, i 3, i 1, i 2, i 3, A 2, A = 3 A n i n = n=1 da = 3 = n=1 3 n=1

untitled

( ) ) ) ) 5) 1 J = σe 2 6) ) 9) 1955 Statistical-Mechanical Theory of Irreversible Processes )

1

数学の基礎訓練I

untitled


18 I ( ) (1) I-1,I-2,I-3 (2) (3) I-1 ( ) (100 ) θ ϕ θ ϕ m m l l θ ϕ θ ϕ 2 g (1) (2) 0 (3) θ ϕ (4) (3) θ(t) = A 1 cos(ω 1 t + α 1 ) + A 2 cos(ω 2 t + α

128 3 II S 1, S 2 Φ 1, Φ 2 Φ 1 = { B( r) n( r)}ds S 1 Φ 2 = { B( r) n( r)}ds (3.3) S 2 S S 1 +S 2 { B( r) n( r)}ds = 0 (3.4) S 1, S 2 { B( r) n( r)}ds

Baker and Schubert (1998) NOTE 1 Baker and Schubert(1998) 1 (subsolar point) 177.4, ( 1). Sp dig subsolar point equator 2.7 dig Np Sun V

本文/目次(裏白)

y = x x R = 0. 9, R = σ $ = y x w = x y x x w = x y α ε = + β + x x x y α ε = + β + γ x + x x x x' = / x y' = y/ x y' =

: 2005 ( ρ t +dv j =0 r m m r = e E( r +e r B( r T 208 T = d E j 207 ρ t = = = e t δ( r r (t e r r δ( r r (t e r ( r δ( r r (t dv j =

untitled

ρ ( ) sgv + ρwgv γ sv + γ wv γ s + γ w e e γ ρ g s s γ s ( ) + γ w( ) Vs + V Vs + V + e + e + e γ γ sa γ e e n( ) + e γ γ s ( n) + γ wn γ s, γ w γ γ +

) km 200 m ) ) ) ) ) ) ) kg kg ) 017 x y x 2 y 5x 5 y )

2004

<4D F736F F D B B83578B6594BB2D834A836F815B82D082C88C60202E646F63>

0406_total.pdf

微分積分 サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 初版 1 刷発行時のものです.

TOP URL 1

1 I 1.1 ± e = = - = C C MKSA [m], [Kg] [s] [A] 1C 1A 1 MKSA 1C 1C +q q +q q 1

読めば必ずわかる 分散分析の基礎 第2版

1


Transcription:

ICRU Report 60 Fundamental Quantities and Units for Ionizing Radiation (1998) dosimetric quantity exposurex kermak absorbed dosed 1) fluenceφ hν 1. ρ x Φ/Φ { Φ/Φ}/{ρ x} mass attenuation coefficient µ/ρ hν 2) µ/ρ = τ/ρ + σ C /ρ + κ/ρ + σ coh /ρ. τ/ρ σ C /ρκ/ρσ coh /ρ Auge 3) X X δ {1 δ/hν} hν X δ 4) {1 (hν +δ )/hν} {1 2m e c 2 /hν} µ tr /ρ = {1 δ/hν}τ/ρ + {1 (hν +δ )/hν}σ C /ρ + {1 2m e c 2 /hν}κ/ρ, 1) 2) 3) 4) da dn dn/da Coster-Kronig X 1

hν ρ x { T e /(hνφ)} mass energy transfer coefficient { T e /(hνφ)}=(µ tr /ρ) (ρ x). X radiative process g 5) µ en /ρ {1 g}µ tr /ρ, mass energy absorption coefficient 2. X X 1928 dm dq {dq/dm} hν Φ X dm dt e = (hνφ) (µ tr /ρ) air dm {1 g} W W W air = 33.97 ev dq = (e/w air ) {1 g} dt e = (e/w air ) {1 g} (hνφ) (µ tr /ρ) air dm = (e/w air ) (hνφ) (µ en /ρ) air dm, e (µ en /ρ) air 6) X = (e/w air ) (hνφ) (µ en /ρ) air. 5) 6) g g 1 Φ(hν) 2

SI C/kg 1928 R 1 R = 2.58010-4 C/kg, 7) 3. K dm dt e dt e /dm hν Φ K = dt e /dm = (hνφ) (µ tr /ρ) m, (µ tr /ρ) m collision kerma (K col. ) air = (W air /e) X. SI J/kg G G 4. D dm impart dε 8) dε/dm dε dm dm 7) 8) 1cc1.29310-3 g 1 esu[0.1c] -1 Cc =2.99810 10 cm/s 1 R 1 R = [2.99810 9 ] -1 C/1.29310-6 kg=2.58010 4 C/kg dm net flow term net divergence term 3

dm hν Φ (D eq ) m = (K col.) m = (hνφ) (µ en /ρ) m ={(µ en /ρ) m /(µ en /ρ) air} (W air /e) X, SI J/kg G 5. /, tr /, en / h(mev) / cm 2 /g tr / en / / cm 2 /g tr / en / 0.01 0.0099 0.0099 0.0099 132 131 131 0.02 0.0135 0.0135 0.0135 83.3 69.2 69.1 0.03 0.0185 0.0185 0.0185 27.8 24.6 24.6 0.04 0.0231 0.0231 0.0231 12.9 11.8 11.8 0.05 0.0271 0.0271 0.0271 7.05 6.57 6.54 0.06 0.0306 0.0306 0.0306 4.35 4.11 4.08 0.08 0.0362 0.0362 0.0362 2.01 1.92 1.91 0.1 0.0406 0.0406 0.0406 5.51 2.28 2.28 0.2 0.0525 0.0525 0.0525 0.893 0.637 0.629 0.3 0.0569 0.0569 0.0569 0.324 0.265 0.259 0.4 0.0586 0.0586 0.0586 0.169 0.147 0.143 0.5 0.0593 0.0593 0.0593 0.108 0.098 0.095 0.6 0.0587 0.0587 0.0587 0.079 0.074 0.071 0.8 0.0574 0.0574 0.0574 0.053 0.050 0.048 1 0.0555 0.0555 0.0555 0.041 0.040 0.038 2 0.0465 0.0465 0.0465 0.029 0.026 0.024 3 0.0400 0.0399 0.0399 0.030 0.026 0.023 4 0.0355 0.0353 0.0353 0.032 0.028 0.025 5 0.0320 0.0319 0.0319 0.035 0.031 0.026 6 0.0294 0.0292 0.0292 0.037 0.033 0.027 8 0.0255 0.0253 0.0253 0.042 0.038 0.029 10 0.0229 0.0227 0.0227 0.046 0.042 0.031 4

hν [MeV] (µ en /ρ) air [cm 2 /g] (µ en /ρ) water/(µ en /ρ) air (µ en /ρ) tissue/(µ en /ρ) air 1.00E-03 3.56E+03 1.14E+00 1.04E+00 2.00E-03 5.26E+02 1.17E+00 1.06E+00 3.00E-03 1.61E+02 1.19E+00 1.13E+00 4.00E-03 7.64E+01 1.07E+00 1.05E+00 5.00E-03 3.93E+01 1.07E+00 1.06E+00 6.00E-03 2.27E+01 1.06E+00 1.05E+00 8.00E-03 9.45E+00 1.05E+00 1.05E+00 1.00E-02 4.74E+00 1.04E+00 1.05E+00 2.00E-02 5.39E-01 1.02E+00 1.05E+00 3.00E-02 1.54E-01 1.01E+00 1.05E+00 4.00E-02 6.83E-02 1.02E+00 1.06E+00 5.00E-02 4.10E-02 1.03E+00 1.06E+00 6.00E-02 3.40E-02 9.38E-01 9.60E-01 8.00E-02 2.41E-02 1.08E+00 1.09E+00 1.00E-01 2.33E-02 1.10E+00 1.09E+00 2.00E-01 2.67E-02 1.11E+00 1.10E+00 3.00E-01 2.87E-02 1.11E+00 1.10E+00 4.00E-01 2.95E-02 1.11E+00 1.10E+00 5.00E-01 2.97E-02 1.11E+00 1.10E+00 6.00E-01 2.95E-02 1.10E+00 1.10E+00 8.00E-01 2.88E-02 1.11E+00 1.10E+00 1.00E+00 2.79E-02 1.11E+00 1.10E+00 2.00E+00 2.35E-02 1.11E+00 1.10E+00 3.00E+00 2.06E-02 1.11E+00 1.10E+00 4.00E+00 1.87E-02 1.10E+00 1.09E+00 5.00E+00 1.74E-02 1.10E+00 1.09E+00 6.00E+00 1.65E-02 1.10E+00 1.08E+00 8.00E+00 1.53E-02 1.09E+00 1.07E+00 1.00E+01 1.45E-02 1.08E+00 1.07E+00 2.00E+01 1.31E-02 1.05E+00 1.04E+00 5