kvantliq mexanika 2

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62 ii 2-1-1. 350 k) (t 6·103 k) 106 k) (1- ), 1- 63 e h dr dr rd r( ,t) r( ,t) r ,t (2.1.1) si 2 2 r ,t d r ,t d . (2.1.2) 64 r ,t r ,t (d /d ) r ,t (2 / 2). (2.1.3) (2.1.3)- (d /d a ,t a ,t d '/ d . (2.1.4) a ,t (2.1.2- ). 1.2- 65 (2.1.3- ). 1.3- , , ). 1.4- 1.4- , (2.1.1- 66 ). 1959- (2.1.5) (2.1.6) 1, 2, 3... f( ,t) ,t) , , (2.1.3)- 1879- 1884- r* t4. (2.1.7) 5,6686·10-8 /( 2 4 67 (2.1.7)- (2.1.8) (2.1.8)- at at at 0,1 ÷ 0,4, at 0,5 ÷ 0,9 tp tp tp t at t4 tp t tp at (2.1.5- ). 1.5- . tp 68 = tp 933 1500 0,15) 1893- , = (2.1.9) (2.1.3)- , = (2 ) 2 (2.1.10) , , …

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(2.1.43)- (2.1.44) (2.1.42)- (2.1.43)- 1925- (2.1.10- (2.1.10- ). 1.10- . 1.10- . 83 (2.1.10- 0,1 6.5 ). n a ,t n1 a ,t n2 (1 a ,t)n n1 n2 (2.1.11- ). 84 1.11- n3 n1 n3 n1 p (2.1.43)- 2p p (2.1.45) u (2.1.46) u(t) (2.1.7) (2.1.16) (2.1.47) 85 = 4 3 . (2.1.48) 103 (2.1.48)- 2,5·104 108 2,5·1016 2,5·1011 v, (2.1.47)- (2.1.49) (2.1.50) dq tds du pdv (2.1.48) (2.1.49) 0) 0) = 16 3 . (2.1.51) (2.1.48) (t const) (p const) 86 (s const), (dq 0). (2.1.51) (2.1.52) (2.1.48)- (2.1.53) 13-14 100 (t 109 k) 1922- 300 3000 10-17 3 ". 87 (2.1.52)- 1.6- 700 1965- m 0,96 (2.1.11) 2,7 1978- 1.5- n u ,t n (2.1.38) 88 mathematica 8.0 [ [ ] ] 2.4041138063191885 n -3 10 2·1010 300 5,45·1014 1000 2·1016 n plot[ . ( ) , { , 0,3000}] 3000 1.6- 3000 10-17 3 0 10-29 …

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(2.16)- 135 ( , , , ) 1926- ( , , , ) 0 , = ( , , ) w = = | | . (2.3.1) | | · = | | (2.3.12)- = | | = · (2.3.2) (2.3.1- ). 136 3.1- . 1, 3) (n 1) dv dx, (n 2) dv dxdy, (n 3) dv dxdydz. (r, ,z), (r, (2.3.2)- ( , , , ) = = (2.3.1) (2.3.2) = · = | | = · (2.3.3) (2.3.1) (2.3.3) (2.3.3) ), | | = 1 · (2.3.4) (2.3.4)- 137 (2.3.4) (2.3.4) 3.3- 1. (2.3.3)- (2.3.4)- 2. 3. , ). 1 138 = + (2.3.5) 1 2 = + + + = (2.3.6) n n | | = 1. ( , ) = + . ~| | ~| | ( , , ) = + 139 ("0" "1") 3.2- 3.2- 1 2 140 = 1 2 + 1 …

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[ ( ) ] . = 2 2 [ ( ) ] ( ) (2.4.54)- ( ) = = 4 2 3 / = 4 2 3 / exp = exp . ~10 ~ ~10 202 - 4.11- 4.11- . 4.12- ( ) = 1 4 · 2 2 r0 10-14 10-15 ). r0 20-30 5-6 203 ( ) = . (2.4.55) = 0 - ( ) + ( ) 2 (-) (2.4.55)- n(t)dt = 2 ( 2-4-4. 2-4-2 (2.4.12- ). 204 ( ) = , 0. 0 0 ii 8 (2.4.64) (2.4.64)- ). (2.4.64)- ii ( ) + ( ) = 0 (2.4.65a) ( ) + ( ) = 0 (2.4.65b) = = ( ) (0) = 0 (2.4.65 ( ) = sin = 2 (2.4.66) (2.4.65b) ( ) = sin( + ) = . (2.4.67) 208 = 2 = , 2 = . = 4 + 1 1 …

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, 1 ( ) ( ) 2 2 2 . 226 + + = (2.4.81)- (2.4.83)- , , , = ( ) · ( ) · ( ), , , = 0, 1, 2, 3, … + 3 2 . = + + , = 0, 1, 2, 3, … , , ( ). ( + 1 + 1 = ( + 1) = ( + 1)( + 2) 2 . ( = 0 = 1. ( = 1 = 3. (100), (010), (001) 2-5-1. 1885- 227 1 = 1 1 , > . (2.5.1) = 1 1 , > (2.5.1a) =2,067·1016 -1 = = 109678 -1 ): = 1 ), = 2 ), = 3 ), = 4 ), = 5 5.1- , , . (2.5.1)- = 2 2.5.1- . 2.5.2- . (2.5.1 (2.5.1 = ( ) ( ). (2.5.2) ( ) = 228 (2.5.2)- (2.5.1) (2.5.2) 1913- 5.2- …

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62 ii 2-1-1. 350 k) (t 6·103 k) 106 k) (1- ), 1- 63 e h dr dr rd r( ,t) r( ,t) r ,t (2.1.1) si 2 2 r ,t d r ,t d . (2.1.2) 64 r ,t r ,t (d /d ) r ,t (2 / 2). (2.1.3) (2.1.3)- (d /d a ,t a ,t d '/ d . (2.1.4) a ,t (2.1.2- ). 1.2- 65 (2.1.3- ). 1.3- , , ). 1.4- 1.4- , (2.1.1- 66 ). 1959- (2.1.5) (2.1.6) 1, 2, 3... f( ,t) ,t) , , (2.1.3)- 1879- 1884- r* t4. (2.1.7) 5,6686·10-8 /( 2 4 67 (2.1.7)- (2.1.8) (2.1.8)- at at at 0,1 ÷ 0,4, at 0,5 ÷ 0,9 tp tp tp t …

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