u Θ u u u ( λ + ) v Θ v v v ( λ + ) (.) Θ ( λ + ) (.) u + + v (.),, S ( λ + ) uv,, S uv, SH (.8) (.8) S S (.9),
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1 ML rgr ML ML ML (,, ) σ τ τ u + + τ σ τ v + + τ τ σ + + (.) uv,,,, σ, σ, σ, τ, τ, τ t (Hook) σ λθ + ε, τ γ σ λθ + ε, τ γ σ λθ + ε, τ γ λ, E ν ν λ E, E ( + ν)( ν) ( + ν) Θ Θ ε + ε + ε (.) ε, ε, ε, γ, γ, γ u u v ε, γ + v v ε, γ + (.) u ε, γ + (.)(.)(.) (.) (.)
2 u Θ u u u ( λ + ) v Θ v v v ( λ + ) (.) Θ ( λ + ) (.) u + + v (.),, S ( λ + ) uv,, S uv, SH (.8) (.8) S S (.9), S S λ +, S (.) Laplac + + (.) (.) ML (.9) (.)(.)(.)
3 ML ML (.8) ( λ + ) + + (.),, + +,, + +,, (.) (.) p u v K + + u p v p p,, (.) uv,,,, p K K c c : (.)(.)(.),,, (.)(.) ( λ + ) + + ( λ + ) (.),, + + S S, S, S + + SH SH, SH, SH (.) (.)
4 , S, SH,, S SH,, S SH ML (.)(.) ( λ + ) ( λ + ) S ( λ + ) ( λ + ) S ( λ + ) ( λ + ) S ( + + ) (.8) ( + + ) (.9) S ( + + ) ( + + ) S ( + + ) ( + + ) S SH SH SH ( ) + + ( ) + + ( ) + + SH SH SH (.) ML S SH ( ) λ + S SH (.) ML
5 (.)(.) (.)(.) ( λ ) ( λ ) t (.) + +,,, (.),, ( λ ) ( λ ) t (.) ( + + ) Γ Γ Γ,,,, (.)(.)(.) S t + + S + + S + + S ( + + ) Γ Γ SH t + + SH + + SH + + SH ( + + ) Γ Γ (.)(.). 8 (,, ).,,,,, (.) (.)
6 8 o l l l. 8,, Χ, W, W, W (.) a, b, c, W, W, W (.) [ 8 ], (.) Χ W W W { 8} { } 8 { } 8 { 8} { 8} { 8} W W W,,, W W W W W W W W W (.8) (.9)
7 { } 8 { 8} { 8} { } W W W 8 { 8} { } 8,, 8 (.) l l l 8 + l l l 8 + l + l l 8 l + l l 8 ( )( )( ) ( )( )( ) ( )( )( ) ( )( )( ) l 8 l + l + l 8 l + l + l 8 + l + l 8 l 8 + l + l ( )( )( ) ( )( )( ) ( )( )( ) ( )( )( ) (.),,,, (.) (.),(.)(.) W t W + W + W + ( λ ) ( λ ) ( λ ) ( λ ) + W + + W + W + W + W + W + W + W + W + W W Γ+ W Γ+ Γ Γ W Γ Γ (.) (.),(.)(.),(.) (.) W, W, W, W M + K F (.)
8 8, m m M m m m (.) ( ) ( ) ( ) ( ) λ λ λ λ m k k k k m K k m k m k k k (.) F Γ Γ Γ Γ Γ Γ (.) (.),(.) + M K F (.8) + M K F (.9) S S S S m k k k k m K k m k m (.) F Γ Γ Γ Γ Γ Γ (.) SH SH SH SH m k k k k m K k m k m (.)
9 F Γ Γ Γ Γ Γ Γ Χ Χ (.) (.)(.8)(.9) M + K F (.) M + K F (.) M + K F (.) ML ML (.8)(.)(.8) (.8) ( λ ) ( λ ) t + ( λ + ) + ( λ + ) + ( λ ) ( λ ) (.) ( + + ) ( + + ) ( + + ) + +,,,,, (.),, ( λ ) ( λ ) ( λ + ) + ( λ + ) + ( λ ) ( λ ) ( + + ) ( + + ) Γ Γ (.) (.)(.)(.) 9
10 S S S S + + S + + S ( + + ) ( + + ) Γ Γ SH SH SH SH + + SH + + SH ( + + ) ( + + ) Γ Γ (.) (.) (.)(.).,,,,,, (.),, Χ W, W, W, [ 8] (.) Χ W W W,, Χ Χ, W W, W W, W W Χ W W W (.) (.) { } 8 { 8} { } 8 (.8) (.)(.)(.)
11 W W W W W W W W W + W + W ( ) ( λ + + λ + ) ( ) ( λ + + λ + ) ( ) ( ) λ + + λ + + W + W + W + W + W + W + W W Γ+ Γ W Γ Γ+ W Γ Γ + + (.9) W, W, W, W, W, W ML ML ML ML ML (.9) M + K F (.) M ML m m m m m m (.) K ML ( λ ) m ( λ ) k ( λ + ) m ( λ + ) k ( λ + ) ( λ + ) + + m k k k k m k k k m k k k m (.)
12 ML F ML ML (.) (.),(.) ML ML ML ML ML + M K F (.) ML ML ML ML ML + M K F (.) S S S S ML S S m k m k m k k k k m K k k k m k k k m (.) ML F ML ML (.) SH SH SH SH ML SH SH m k m k m k k k k m K k k k m k k k m (.8)
13 F ML ML Χ Χ Χ ML Χ Χ Χ (.9) (.) I I I M+ + K I I I M,, K,, (.) (.) 8. u U, v, W (.) U W { u u u u u u u u8} { v v v v v v v v } 8 { } 8 (.)(.) (.)(.)(.) Χ U W U m k k k m k k k W m k Χ m, k, k, k k, k (.) (.) (.) (.) (.)(.)
14 ϕ (.) m k k k U m k k k,, ϕ m k W Χ ML ML M,, K ϕϕ ϕϕ ϕϕ (.8) M M,, K K (.9) ϕϕ ϕϕ ϕϕ M,, K ML M M,, K K ϕ ϕ ϕ M M,, K K ϕ ϕ ϕ (.) (.),(.8),(.9)(.),(.),(.)ML M + K F (.) M + K F (.) M + K F (.) O O O O O M + K F (.) O { Χ } O ML O { Χ (.) Χ Χ Χ (.) } (.) O O O O + (.) Q O O O O O O M K, Q M F (.) (.)(.)
15 a () t () t I I I I + (.) Q I I I I, () t, I I I Q I M K M a () t (.)(.8)(.9) + Q() t (.9) uvuv,,,,, ML,,,,,,,,,,,,,,,,,,,, ML 8,,,,,,,,,,,,,,,,, ML (.9) Q, (.8) I H R, Q a () t, (.) H R I I I I M K, H M ML (.9)Rug Kutta (.9) Rug Kutta + + ( ) (.) ( ) t + Q t + + Q + t + + Q + t ( ( + ) + Q+ ) ( t), + ( t + t) t Q Q Q Q + Q Q + ( t ), t, ( t t) + + (.) t t (.)(.)
16 t + + t + ( L + L + L) + + ( L + L + L + L) (.) + + ( S + S + S + S) L t + H + R + a t t L t H + L R + L + a R + t t t t L t H + L L + R + L + L + a R R + t L t H( + L) + + t + L t t t + R + t LR + + L+ RLR + LR+ HL+ a+ (.) L + H + R R ( ) L t + RL + HL R R (.) S tl R S tl + + HL + RS ( t ) R S tlr + t + L+ HL + RS S tlr + t + L+ HL + RS (.)
2 Part A B C A > B > C (0) 90, 69, 61, 68, 6, 77, 75, 20, 41, 34 (1) 8, 56, 16, 50, 43, 66, 44, 77, 55, 48 (2) 92, 74, 56, 81, 84, 86, 1, 27,
/ (1) (2) (3) ysawano@tmu.ac.jp (4) (0) (10) 11 (10) (a) (b) (c) (5) - - 11160939-11160939- - 1 2 Part 1. 1. 1. A B C A > B > C (0) 90, 69, 61, 68, 6, 77, 75, 20, 41, 34 (1) 8, 56, 16, 50, 43, 66, 44,
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.
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. http://www.morikita.co.jp/books/mid/009192 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. i 2 t 1. 2. 3 2 3. 6 4. 7 5. n 2 ν 6. 2 7. 2003 ii 2 2013 10 iii 1987
all.dvi
72 9 Hooke,,,. Hooke. 9.1 Hooke 1 Hooke. 1, 1 Hooke. σ, ε, Young. σ ε (9.1), Young. τ γ G τ Gγ (9.2) X 1, X 2. Poisson, Poisson ν. ν ε 22 (9.) ε 11 F F X 2 X 1 9.1: Poisson 9.1. Hooke 7 Young Poisson G
O x y z O ( O ) O (O ) 3 x y z O O x v t = t = 0 ( 1 ) O t = 0 c t r = ct P (x, y, z) r 2 = x 2 + y 2 + z 2 (t, x, y, z) (ct) 2 x 2 y 2 z 2 = 0
9 O y O ( O ) O (O ) 3 y O O v t = t = 0 ( ) O t = 0 t r = t P (, y, ) r = + y + (t,, y, ) (t) y = 0 () ( )O O t (t ) y = 0 () (t) y = (t ) y = 0 (3) O O v O O v O O O y y O O v P(, y,, t) t (, y,, t )
1. 1 A : l l : (1) l m (m 3) (2) m (3) n (n 3) (4) A α, β γ α β + γ = 2 m l lm n nα nα = lm. α = lm n. m lm 2β 2β = lm β = lm 2. γ l 2. 3
1. 1 A : l l : (1) l m (m 3) (2) m (3) n (n 3) (4) A 2 1 2 1 2 3 α, β γ α β + γ = 2 m l lm n nα nα = lm. α = lm n. m lm 2β 2β = lm β = lm 2. γ l 2. 3 4 P, Q R n = {(x 1, x 2,, x n ) ; x 1, x 2,, x n R}
LLG-R8.Nisus.pdf
d M d t = γ M H + α M d M d t M γ [ 1/ ( Oe sec) ] α γ γ = gµ B h g g µ B h / π γ g = γ = 1.76 10 [ 7 1/ ( Oe sec) ] α α = λ γ λ λ λ α γ α α H α = γ H ω ω H α α H K K H K / M 1 1 > 0 α 1 M > 0 γ α γ =
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
Mindlin -Rissnr δ εσd δ ubd+ δ utd Γ Γ εσ (.) ε σ u b t σ ε. u { σ σ σ z τ τ z τz} { ε ε εz γ γ z γ z} { u u uz} { b b bz} b t { t t tz}. ε u u u u z u u u z u u z ε + + + (.) z z z (.) u u NU (.) N U
[Ver. 0.2] 1 2 3 4 5 6 7 1 1.1 1.2 1.3 1.4 1.5 1 1.1 1 1.2 1. (elasticity) 2. (plasticity) 3. (strength) 4. 5. (toughness) 6. 1 1.2 1. (elasticity) } 1 1.2 2. (plasticity), 1 1.2 3. (strength) a < b F
all.dvi
38 5 Cauchy.,,,,., σ.,, 3,,. 5.1 Cauchy (a) (b) (a) (b) 5.1: 5.1. Cauchy 39 F Q Newton F F F Q F Q 5.2: n n ds df n ( 5.1). df n n df(n) df n, t n. t n = df n (5.1) ds 40 5 Cauchy t l n mds df n 5.3: t
( ) Note (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e
![( ) Note (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e](/thumbs/98/136160482.jpg "( ) Note (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e")
( ) Note 3 19 12 13 8 8.1 (e ) (µ ) (τ ) ( (ν e,e ) e- (ν µ, µ ) µ- (ν τ,τ ) τ- ) ( ) ( ) (SU(2) ) (W +,Z 0,W ) * 1) 3 * 2) [ ] [ ] [ ] ν e ν µ ν τ e µ τ, e R, µ R, τ R (1a) L ( ) ) * 3) W Z 1/2 ( - )
SO(2)
TOP URL http://amonphys.web.fc2.com/ 1 12 3 12.1.................................. 3 12.2.......................... 4 12.3............................. 5 12.4 SO(2).................................. 6
xyz,, uvw,, Bernoulli-Euler u c c c v, w θ x c c c dv ( x) dw uxyz (,, ) = u( x) y z + ω( yz, ) φ dx dx c vxyz (,, ) = v( x) zθ x ( x) c wxyz (,, ) =
,, uvw,, Bernoull-Euler u v, w θ dv ( ) dw u (,, ) u( ) ω(, ) φ d d v (,, ) v( ) θ ( ) w (,, ) w( ) θ ( ) (11.1) ω φ φ dθ / dφ v v θ u w u w 11.1 θ θ θ 11. vw, (11.1) u du d v d w ε d d d u v ω γ φ w u
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.
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. ttp://www.morikita.co.jp/books/mid/00571 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. i ii 014 10 iii [note] 1 3 iv 4 5 3 6 4 x 0 sin x x 1 5 6 z = f(x, y) 1 y = f(x)
変 位 変位とは 物体中のある点が変形後に 別の点に異動したときの位置の変化で あり ベクトル量である 変位には 物体の変形の他に剛体運動 剛体変位 が含まれている 剛体変位 P(x, y, z) 平行移動と回転 P! (x + u, y + v, z + w) Q(x + d x, y + dy,
変 位 変位とは 物体中のある点が変形後に 別の点に異動したときの位置の変化で あり ベクトル量である 変位には 物体の変形の他に剛体運動 剛体変位 が含まれている 剛体変位 P(x, y, z) 平行移動と回転 P! (x + u, y + v, z + w) Q(x + d x, y + dy, z + dz) Q! (x + d x + u + du, y + dy + v + dv, z +
N cos s s cos ψ e e e e 3 3 e e 3 e 3 e
3 3 5 5 5 3 3 7 5 33 5 33 9 5 8 > e > f U f U u u > u ue u e u ue u ue u e u e u u e u u e u N cos s s cos ψ e e e e 3 3 e e 3 e 3 e 3 > A A > A E A f A A f A [ ] f A A e > > A e[ ] > f A E A < < f ; >
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' =
y x = α + β + ε =,, ε V( ε) = E( ε ) = σ α $ $ β w ( 0) σ = w σ σ y α x ε = + β + w w w w ε / w ( w y x α β ) = α$ $ W = yw βwxw $β = W ( W) ( W)( W) w x x w x x y y = = x W y W x y x y xw = y W = w w
D = [a, b] [c, d] D ij P ij (ξ ij, η ij ) f S(f,, {P ij }) S(f,, {P ij }) = = k m i=1 j=1 m n f(ξ ij, η ij )(x i x i 1 )(y j y j 1 ) = i=1 j
![D = [a, b] [c, d] D ij P ij (ξ ij, η ij ) f S(f,, {P ij }) S(f,, {P ij }) = = k m i=1 j=1 m n f(ξ ij, η ij )(x i x i 1 )(y j y j 1 ) = i=1 j](/thumbs/103/158001152.jpg "D = [a, b] [c, d] D ij P ij (ξ ij, η ij ) f S(f,, {P ij }) S(f,, {P ij }) = = k m i=1 j=1 m n f(ξ ij, η ij )(x i x i 1 )(y j y j 1 ) = i=1 j")
6 6.. [, b] [, d] ij P ij ξ ij, η ij f Sf,, {P ij } Sf,, {P ij } k m i j m fξ ij, η ij i i j j i j i m i j k i i j j m i i j j k i i j j kb d {P ij } lim Sf,, {P ij} kb d f, k [, b] [, d] f, d kb d 6..
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-- -- -3- % % % 6% % % 9 66 95 96 35 9 6 6 9 9 5 77 6 6 5 3 9 5 9 9 55 6 5 9 5 59 () 3 5 6 7 5 7 5 5 6 6 7 77 69 39 3 6 3 7 % % % 6% % % (: ) 6 65 79 7 3 36 33 9 9 5 6 7 3 5 3 -- 3 5 6 76 7 77 3 9 6 5
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NO. 2007 10 10 34 10 10 0570-058-669 http://www.i-nouryoku.com/index.html (40 ) () 1 NO. 2007 10 10 2.2 2.2 130 70 20 80 30 () () 9 10 () 78 8 9 () 2 NO. 2007 10 10 4 7 3 NO. 2007 10 10 40 20 50 2 4 NO.
n (1.6) i j=1 1 n a ij x j = b i (1.7) (1.7) (1.4) (1.5) (1.4) (1.7) u, v, w ε x, ε y, ε x, γ yz, γ zx, γ xy (1.8) ε x = u x ε y = v y ε z = w z γ yz
1 2 (a 1, a 2, a n ) (b 1, b 2, b n ) A (1.1) A = a 1 b 1 + a 2 b 2 + + a n b n (1.1) n A = a i b i (1.2) i=1 n i 1 n i=1 a i b i n i=1 A = a i b i (1.3) (1.3) (1.3) (1.1) (ummation convention) a 11 x
(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x
![(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x](/thumbs/104/162595168.jpg "(Compton Scattering) Beaming 1 exp [i (k x ωt)] k λ k = 2π/λ ω = 2πν k = ω/c k x ωt ( ω ) k α c, k k x ωt η αβ k α x β diag( + ++) x β = (ct, x) O O x")
Compton Scattering Beaming exp [i k x ωt] k λ k π/λ ω πν k ω/c k x ωt ω k α c, k k x ωt η αβ k α x β diag + ++ x β ct, x O O x O O v k α k α β, γ k γ k βk, k γ k + βk k γ k k, k γ k + βk 3 k k 4 k 3 k
meiji_resume_1.PDF
β β β (q 1,q,..., q n ; p 1, p,..., p n ) H(q 1,q,..., q n ; p 1, p,..., p n ) Hψ = εψ ε k = k +1/ ε k = k(k 1) (x, y, z; p x, p y, p z ) (r; p r ), (θ; p θ ), (ϕ; p ϕ ) ε k = 1/ k p i dq i E total = E
( ) e + e ( ) ( ) e + e () ( ) e e Τ ( ) e e ( ) ( ) () () ( ) ( ) ( ) ( )
n n (n) (n) (n) (n) n n ( n) n n n n n en1, en ( n) nen1 + nen nen1, nen ( ) e + e ( ) ( ) e + e () ( ) e e Τ ( ) e e ( ) ( ) () () ( ) ( ) ( ) ( ) ( n) Τ n n n ( n) n + n ( n) (n) n + n n n n n n n n
基礎数学I
I & II ii ii........... 22................. 25 12............... 28.................. 28.................... 31............. 32.................. 34 3 1 9.................... 1....................... 1............
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TOP URL http://amonphys.web.fc.com/ 1 19 3 19.1................... 3 19.............................. 4 19.3............................... 6 19.4.............................. 8 19.5.............................
c y /2 ddy = = 2π sin θ /2 dθd /2 [ ] 2π cos θ d = log 2 + a 2 d = log 2 + a 2 = log 2 + a a 2 d d + 2 = l
![c y /2 ddy = = 2π sin θ /2 dθd /2 [ ] 2π cos θ d = log 2 + a 2 d = log 2 + a 2 = log 2 + a a 2 d d + 2 = l](/thumbs/85/91372642.jpg "c y /2 ddy = = 2π sin θ /2 dθd /2 [ ] 2π cos θ d = log 2 + a 2 d = log 2 + a 2 = log 2 + a a 2 d d + 2 = l")
c 28. 2, y 2, θ = cos θ y = sin θ 2 3, y, 3, θ, ϕ = sin θ cos ϕ 3 y = sin θ sin ϕ 4 = cos θ 5.2 2 e, e y 2 e, e θ e = cos θ e sin θ e θ 6 e y = sin θ e + cos θ e θ 7.3 sgn sgn = = { = + > 2 < 8.4 a b 2
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.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
NHK 204 2 0 203 2 24 ( ) 7 00 7 50 203 2 25 ( ) 7 00 7 50 203 2 26 ( ) 7 00 7 50 203 2 27 ( ) 7 00 7 50 I. ( ν R n 2 ) m 2 n m, R = e 2 8πε 0 hca B =.09737 0 7 m ( ν = ) λ a B = 4πε 0ħ 2 m e e 2 = 5.2977
II (No.2) 2 4,.. (1) (cm) (2) (cm) , (
II (No.1) 1 x 1, x 2,..., x µ = 1 V = 1 k=1 x k (x k µ) 2 k=1 σ = V. V = σ 2 = 1 x 2 k µ 2 k=1 1 µ, V σ. (1) 4, 7, 3, 1, 9, 6 (2) 14, 17, 13, 11, 19, 16 (3) 12, 21, 9, 3, 27, 18 (4) 27.2, 29.3, 29.1, 26.0,
(1.2) T D = 0 T = D = 30 kn 1.2 (1.4) 2F W = 0 F = W/2 = 300 kn/2 = 150 kn 1.3 (1.9) R = W 1 + W 2 = = 1100 N. (1.9) W 2 b W 1 a = 0
1 1 1.1 1.) T D = T = D = kn 1. 1.4) F W = F = W/ = kn/ = 15 kn 1. 1.9) R = W 1 + W = 6 + 5 = 11 N. 1.9) W b W 1 a = a = W /W 1 )b = 5/6) = 5 cm 1.4 AB AC P 1, P x, y x, y y x 1.4.) P sin 6 + P 1 sin 45
6 6.1 L r p hl = r p (6.1) 1, 2, 3 r =(x, y, z )=(r 1,r 2,r 3 ), p =(p x,p y,p z )=(p 1,p 2,p 3 ) (6.2) hl i = jk ɛ ijk r j p k (6.3) ɛ ijk Levi Civit
6 6.1 L r p hl = r p (6.1) 1, 2, 3 r =(x, y, z )=(r 1,r 2,r 3 ), p =(p x,p y,p z )=(p 1,p 2,p 3 ) (6.2) hl i = jk ɛ ijk r j p k (6.3) ɛ ijk Levi Civita ɛ 123 =1 0 r p = 2 2 = (6.4) Planck h L p = h ( h
0406_total.pdf
59 7 7.1 σ-ω σ-ω σ ω σ = σ(r), ω µ = δ µ,0 ω(r) (6-4) (iγ µ µ m U(r) γ 0 V (r))ψ(x) = 0 (7-1) U(r) = g σ σ(r), V (r) = g ω ω(r) σ(r) ω(r) (6-3) ( 2 + m 2 σ)σ(r) = g σ ψψ (7-2) ( 2 + m 2 ω)ω(r) = g ω ψγ
Note.tex 2008/09/19( )
1 20 9 19 2 1 5 1.1........................ 5 1.2............................. 8 2 9 2.1............................. 9 2.2.............................. 10 3 13 3.1.............................. 13 3.2..................................
The Physics of Atmospheres CAPTER :
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