Fizika | Mechanika, Kvantummechanika » Benedict Mihály - Kvantummechanika

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

/ - ( / ( ( * * U * * / 7& ( B$ 5C 1 ( ) *+ , -( $ * * $5 * * *7 6 / * * 6 7 !( / & ! B$ 9C 2 / 7 &# / 1 * * & # # U B$ 3C !! M & # " $5 M %& (! 1 # / 2 2 !& ( & ! ! " / ! ) ! / *7 & / / * * * " 7 " ( B$ C B$ C & 2 27 7( ! " / * 7 " *2 & & " & ) % # 7 D P 2 # / / & 1 / % ( * * & % B$ ) C (! " J B $ $ * * "- ) C !! " 7 " " / *2 & " " B$ $C ) # * ) . # % 2 / & B$ +C . - $ %4 & # 4 *+ ) " / " *2 & ! * * * * " 7& + B$ + B$ 5C - . / !! / ! ) " & " # # # #2 / / / # !! 7 / # / / ! 2 !! " * # # & ! ! & " = # 2 " ! 0 ! " / # 7 #2 & " ( * ! ) " ) % / # ( ! ) "& # / !! # # ! ) " & & 2 / & / 2 & & 2 @ !

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

*2 7 *2 ( *2 ) % & & *2 % & 6 ! - " / / # ) & & ! 0 & " & 2 " 7 7 ( ( # - && " 7 & ) 7& / " * # B+ C " # . - $ % # *+ # ( " "- ( "" & "/ "" "" % & / & /& ( & % B+ $C . " B+ +C " ! @ & M % & 7 ( *2 & % # B & & 2 E / *7 ( *2 ( ( 2 & # / / E /@ M ( 2 # " % / # " / " & *7 " / P 2 * / / & / *7 / / & ( & & & & & & / # & ! " % / " & @ " & & " / / C/ & ( & ( B+ ;C " ! 0 & & E % "" ( & & " " & V & / " 6 # / # # " ! & ( B+ C . " ! 0 ." 7& " . *7 " +$ ( $ % - ( " $

& 2 %& @ / < & " 8 # 7 & / # / " /8 * 2 ( "# * *7 & / # 7 & ( # 7 # & / & / + . - & & $ % " ! 0 # ! *2 & / ( * 8 & " & # 7& & # 7 & # ( H * / # 7 # . " V& E 1 & # / * B+ 5C / " B 7& / 2 / 1 1 & " / / *7 & *2 ! ! " % # B !# / *2 " *2 / ( / & * B+ 9C % & !! & " /! ( C & & / 6 ! / / # ( / 6 # @ " ( & & ! # - ( 0 & 2 # * / % , ) / # # # & C & 27 " ( B+ C / A " % % ( ) # ( * & # 7 " & ( ( % - ( *7 / 8 = % % 7 & G ) *+ ) /* & ." = * # $ ( & & & "" & * # " ! / . - $ ! & 2 # / # 2 & % " 7& 4 $ - 7& & / / % ( 7 &- ; *2 & !

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"/ 2 & " * # " % # * # " 2 ( " * # / " # # " B+ $C # " " & & ! " , " # # " * " % & ! " / % ( # " & " # " / %8 & & < " % 3 & !# J / & ! / & " & # # ! & / " 2 C / & &3 " ( & 3& 3& & / 1 3 ( *7 , & & 3 & / & ! & & && & & ! @ / % & # & & " &3 *+ ! ! 3 &3 $ &3 & 3 % 7 &3 3& 27 7 ( & *7 & ( 1 & ! J & & & / # & / # # 7& " # & " & 7& - / # ( !! "# # B+ +C ! & / (- # < " # # % . - $ * # / 2 # " *+ "/ ( *2 / & ( 2 # / !# ( " # & 7 # & / = # 2 *2 ) " ) " & ! ! ) ! & " ! ( ( D * #

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

/ 7 * # & ! ( " / & " ,$ # !# 3 & 0 ) - & BE @ & # # & # &3 3 % 4 4 44 4 , - / $ / ,, : + ( $ # % & ! / & , " & & & & " & 2 & " " & / & *7 =X / 7& " " 8 ) * & / / & #7&( & / # " " " = " " " & " / B+ 3C " " 7 *2 " / * & / & ( ! # ! ! !# & 2 ! ( " ! ! R % ! # ( / @ & "/ " # ! ! / / " & ! # " " B+ 9C ( # " / ! " 7 #2 "& # " " & " !! " " " ( % *7 " & 2 " 7 @ 7 " " ! ! ( @ " " & / / 7 / *7 ! # & "# & = " *2 " / / 7 ) $ 2 & " 2 ( $ & ( 2 " $ / "/ ( ! " # " ,

& # 7 #2 & $ / # ( ! & 2 / # ( / + ( & $ $ # $ ! # ! # * # # # # " " # $ & # & ! ) "# # " # $ ) $ ! " / # 2 # / !! " ! # % & 7 7 & 6 ! "! # (# /! /& ! # # * # ! # 7 ! / # ( / /& % # /) * " 6 !! ! % # " &2 & 5 # 7 7 ( (! # * (5 # B; C # / * / ( # & ! ( "/ & / & # # * @ #7&( ! !! & # ! ! P " / # & # 5 # / U 7 & " 5 # 7 & ! *7 & % !& ( * 7 # ! * ( # @ ( / #7&( # # & # ! ! / ! # B; C 5 # B; $C 5 # " B+ +C ( / 2 # & ! B + 3C / 0 !# # "/ ! / & / # 2 # #7&( ! / / ! ! # # / / / " ( ! ) " - $ / # & + ( ! # $ * #7&( ! ) " 2 ! ) "& % * # ) ( ) $ ( & ) ) ( P & / / / # 7& & ( (! & & ! " " ! % 7 & 2

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

# BC *7 ( # 2 * = / & & ( ! & 2 / B "& E EW " ( ! && / ! / & E EW & 3 E EW 5 8 9 & ( *7 "#"$ / & 2 E EW & / # & ( C / # & 7 7 = # & 7 2 # / & ! # @ & 3 E EW/ 3& / E EW " / 7 22 & * ! B C # C ( 3 # # & ! * - % & 3 ! & # & & 3 % % & & & 3 # & #2 / ! $ @ 5 # 2 & # / ! 3 - # # 7 5 8 9 / / & / 37 > # *7 " & 3 ! & 2 ( (* = & ! ( ! !# / *7 # ( / # & ! " $ % *7 2/ ! 7 " # ! & / & " ! " + = / ! = & 3 # & ; 0 / & / 27 ( ! & 3 *7 7( # " 2 & ( ) ! / !! ( 7 " # # & / 1 ,- + & $5 $ 5 * + / ( / D " % 6 "# & " *2 & ) & " = & % / W ! - # # - ( # * # " ) ( B5 C 0 # " ( / # B5 C # # #

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

& # 3 & / ! !4 # # + 5 * # 9 $% & * A.Einstein, B Podolsky, N Rosen (EPR) 1935, bizonyítják(?), hogy a kvantummechanika nem teljes D. Bohm 1957 AKalcit Fotonpár forrás A B+ Kalcit A+ Kalcit A Fotonpár forrás B B- Kalcit B Szigorú korreláció van a két oldal eredményei között, ha ugyanolyan berendezés van mindkét oldalon. Különbözo berendezések a két oldalon Aforrás A- B- B+ forrás A+ forrás A+ forrás B- B+ 9 !4 ) & # # + 5 * # $% & * ! # & / # " ! % ! !2 ( ! # ! # ! ! 9/ # 7 #2 ! & # & & 3 3 ! ! ! ! ! ! ! ! 2 ! *7 3 / ! & & 3 & /# # # " ! & ! ! ! & 2 ! ! < !# / ! & ! & 3 & / & & " ( *7 , & ! / / B ! 3 ! *7 / = ( / *7 ;C 7 & /* & & & " # & " ( & 6 / & ! # (& & # & ! & & " 7 ! & " ( !# ; &

& 3 3 ( & 3 3 B C !4 # # + 5 * # "/ 1 ! # 9$ $% & * / ( / & / ! & P 2 !/ 2 # # # & *7 @ 3 & " ( ! % ( ( 3 7 7 / & " ( =& & & & " ( 1 & 7 * %1 / ( 7 * ( +; ! < 7 !# / & " ( & & ( 1 ! & 1 E ( & & " 1 ! % / 1 /& & 5C B 9C ! 3 " *7 B " # ( B ( & ( 7 7 & " 3 " P & ( & ! # ( 6 & 3C & ( / & & / 7 & 2 *7 & ( & % & #" # = ( # # " / / *7 ! 1 & ( *2 /& ! # 7 7 / / ( ! # " 2 / & ( 2 * & ; ! / 2 2 ( / ( ! " " = 7 7 & 9+ ! Bell: N(A+,C+) < N(B+,C+) + N(A+,B+) P(A+,C+) < P(B+,C+) + P(A+,B+) ( sin2 600 = sin2 300 + sin2 300 0,75 = 2· 0,25 =0,5 ?? A+ C- #( A kvantummechanika sérti a Bell egyenlotlenséget! N(A+,C+) = N(össz) P(A+,C+)/18

(kapcsolat a valószínuséggel) Bell : #$ B+ ÖSZZEVETÉS A KVANTUMMECHANIKÁVAL C+ P(A+,C+) = sin2 (A+,C+) A- P(B+,C+ ) = sin2 (B+,C+) P(A+, B+) = sin2 (A+,B+) B- ; < 1 A kvantummechanika sérti a Bell egyenlotlenséget! * / & & ( & ( : % ! ! " # " * . ! # & & ! 9 = B & ! # !# ! ! ! 2 ! ! ! " ! # % * * "# & / * & " 7 ( 7 / / ! 7 ! = & 2 C # = ! & / ! / ! & 2 / 7 2 B * < * 7 * # " / & # * ( " 6 "# B C 7& #2 ( " I# ! #$ *7 #( ! 9; ( & 7 7 ( = % * 2 B * ( 7 " = & ) & # / # J = 7 & / ! % *7 !# , , * " * 7 ! # - * 2 B +C B ;C B C B 5C ! & ! ) = * # & = - * * , * , " !# ,* ,* * " ! B 9C B 3C - = , (# & & %! * , S *) " / $C - * = ) , & = 2 ( ( = ( B = ,

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

+ / # & *2 & # / & ! & " ! " ! + = * ! ! + + * % # , * & & " + + * ? / " = ! ( 5 ( * & 5 ! & @ + = * & ) # )= !# / ) # )= & / *7 = " / ! " ? ! = / & = & " 7 ! > ) D & / / " / # 7 " B + $C J % *7 .* "/ *2 7 2 .* *2 & 5 ! " & & . = / ! ) ! 7 = / # & / > E B + C # #2 / *2 & <7 7 ! / B + C # & /& 72 & = * 2 *7 / + = ! / " 72 / ! 3+ !/ # % ( $ 72 & 8 B + +C / ( 7 & 8 / # / 0 & #7 = " (! *2 & H & & = = <7 7 = / + = ! HH = & ( # J= *7 J *7 ( 72 H / B + ;C J # "/ # & " > / B + C #K # #K 77 2 / %.$ # + K J # K+ " 1 & & / ! HH K #K F " 77 ) )K & + = # K # / 7 2/ 72 / # *2 & ( # = = " =+ *7 ) # )= J !( ! 8 ! ! =+

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

#2 / "/ " # # ! 7 ! %@ 6 " ! ! " * 6 4 & 6 - ! %@ 7& ( " * "# I I 6 I I & / I @ ! M # H ( ( ! 6 7 2 &( ( # ,/$ / ! I I / * & @ " ! *7 # H &(# ! I "#) % ! ) / ( = . <2 ( " 7 , *2 & % 7& <2 ( *2 & ( C ( " # 7 / C & @ * ( ! *2 C B 3 C C B 3 $C C I ! # ( 2 ! / *2 ( & &2 # 2 ( *7 2 ( & (# ! ! & "E ! ( *7 / *2 ( " ) # ! C / !! ( B 3 C C ! C " 7 ( & C & & # & *& 2 6 ! / & & !3 6 I $ $ E *7 / ( & ( " 7& - ( B 3 +C / & # 3 ( * # # ( C % *7 & & - C C C C B 3 ;C C ! B 3 C C @ ! 2/ ( C & C "/ ! 7 ! C & 7& ( % ( ( / B 3 9C & ! & B 3 5C C ! & % C / 2 / B 3 3C )+ = / ( @ & 6 " " 7& / ! C / ( 7 C ! ! ! ! 7 C = "/ =

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

B$ " " " " " " & " " ! # 7 & " ! & & , ( ! 2 * ( <5 & B$ 5C " " * # / C " *7 4 "" / ( 5 ( ! 0 ( 2 " 2 % 1 C C !( ! % *7 7 2 < =& < ( 2 / & " & !! * < / ) " " / & " " <" + 7 7 0 / ( 2 # < B$ 3C + ) !" # % / / B$ C B$ C ! ; # C < ! + / ( # & " & # / 2 *7 ! ) + ! <" / & & ! < ; ) ( ; C 7 B 2 ! B$ 9C ! 0 0 ! 2 7 1 " # # < < " / ; < ; < ! ! " - + # / " ! ( 7 & ( " # ! !# B ( ( ( B$ # & ( " + " + " + C 7 7 " + ) " " + B$ + $C 9 4 7& ( " # ( / " + ( ( " / <" " 0 " " " " " " " " ! " 0

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