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| 3 | (*** Wolfram Notebook File ***)
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| 4 | (* http://www.wolfram.com/nb *)
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| 25 |  "\nNeutrino' s Oscillations\n",
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| 33 |  This notebook does neutrino oscillation calculations. Load the packages \
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| 34 | needed and define the t = 0 production eigenstate amplitudes\
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| 93 | make sure they' re properly normalized, since the production eigenstates are \
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| 94 | orthogonal \
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| 130 | define a 3 - component object from the production amplitudes now \
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| 158 | Define the mixing between production eigenstates 
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| 159 | (electron, muon, tau neutrinos) and mass eigenstates (nu1, nu2, nu3).
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| 160 |    
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| 161 |    Use a 3 x3 unitary neutrino mixing matrix using the standard MNS \
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| 162 | formulation.
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| 163 |    Also define the inverse of the matrix.
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| 164 |    
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| 165 |    Mixing angles (including delta) are in degrees.
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| 166 |    
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| 167 |    Use the matrices this way : 
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| 168 |    \t(neutrino mixture in terms of production eigenstates) = 
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| 170 |  
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| 173 | eigenstates) 
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| 1889 |                    AspectRatio->Automatic,
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| 1890 |                    ImageSize->{640.8000000000001, 414.}], 4->
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| 1891 |                   
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| 1892 |                   GraphicsBox[{PointBox[{0, 0}], PointBox[{8.9, 5.75}], 
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| 1894 |                     {RGBColor[0.8, 0, 0], 
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| 1895 |                     CircleBox[{1.35, 1.7}, 0.318795777597168], 
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| 1896 |                     LineBox[{{1.35, 1.7}, {1.0920887981889151`, 
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| 1897 |                     1.8873834565647265`}}]}, 
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| 1898 |                     {RGBColor[0, 0.6, 0], 
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| 1899 |                     CircleBox[{3.7, 1.7}, 0.8231729446455008], 
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| 1900 |                     LineBox[{{3.7, 1.7}, {3.4456255707948724`, 
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| 1901 |                     0.9171160069570267}}]}, 
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| 1903 |                     CircleBox[{6.050000000000001, 1.7}, 0.4698463103929542], 
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| 1904 |                     LineBox[{{6.050000000000001, 1.7}, {5.669886350147734, 
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| 1905 |                     1.4238312679069898`}}]}, 
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| 1918 | \\(1\\)]\\) = 0.1 eV\"\>",
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| 1925 | \\(2\\)]\\) = 0.3 eV\"\>",
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| 1930 |                     
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| 1931 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(m\\), \
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| 1932 | \\(3\\)]\\) = 0.4 eV\"\>",
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| 1943 |                     3.56605716356679}}], 
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| 1947 |                      LineBox[{{6.050000000000001, 4.4}, {5.931842242928651, 
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| 1948 |                     4.56262668032012}}]}, 
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| 1949 |                     {RGBColor[0, 0, 0], InsetBox[
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| 1952 | \\!\\(TraditionalForm\\`\\\"0.171\\\"\\)\"\>",
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| 1959 | \\!\\(TraditionalForm\\`\\\"0.789\\\"\\)\"\>",
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| 1960 |                     StringForm["P = ``", 
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| 1961 |                     NumberForm[0.7889548109242812, 3]],
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| 1966 | \\!\\(TraditionalForm\\`\\\"0.0404\\\"\\)\"\>",
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| 1967 |                     StringForm["P = ``", 
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| 1968 |                     NumberForm[0.04040869270807443, 3]],
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| 1970 |                     Editable->
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| 1972 |                     
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| 1973 |                     BaseStyle->{FontSize -> 18}], 
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| 1975 | \\)\"\>", {1.35, 3.05}, {0, -1},
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| 1976 |                     BaseStyle->{FontSize -> 24}], 
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| 1978 | \\)]\\)\"\>", {3.7, 3.05}, {0, -1},
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| 1979 |                     BaseStyle->{FontSize -> 24}], 
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| 1981 | \\(\[Tau]\\)]\\)\"\>", {6.050000000000001, 3.05}, {0, -1},
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| 1982 |                     BaseStyle->{FontSize -> 24}], InsetBox[
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| 1983 |                     
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| 1984 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(\[Theta]\\\
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| 1985 | ), \\(12\\)]\\)=10. deg\"\>",
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|---|
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| 1991 |                     
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| 1992 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(\[Theta]\\\
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| 1993 | ), \\(13\\)]\\)=20. deg\"\>",
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| 1994 |                     StringForm[
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| 1999 |                     
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| 2000 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(\[Theta]\\\
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| 2001 | ), \\(23\\)]\\)=30. deg\"\>",
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| 2009 | \\!\\(TraditionalForm\\`\\(\\\"4.136\\\" \[Times] 10\\^\\\"-15\\\"\\)\\) \
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| 2010 | sec\"\>",
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| 2014 |                     BaseStyle->{FontSize -> 12}]}},
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| 2015 |                    AspectRatio->Automatic,
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| 2016 |                    ImageSize->{640.8000000000001, 414.}], 5->
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| 2017 |                   
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| 2018 |                   GraphicsBox[{PointBox[{0, 0}], PointBox[{8.9, 5.75}], 
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| 2019 |                     PointBox[{8.9, 0}], PointBox[{0, 5.75}], 
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| 2020 |                     {RGBColor[0.8, 0, 0], 
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| 2021 |                     CircleBox[{1.35, 1.7}, 0.31879577759716793`], 
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| 2022 |                     LineBox[{{1.35, 1.7}, {1.1366839880317634`, 
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| 2023 |                     1.9369114325053776`}}]}, 
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| 2024 |                     {RGBColor[0, 0.6, 0], 
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| 2026 |                     LineBox[{{3.7, 1.7}, {3.034039098472122, 
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| 2027 |                     1.2161510830512063`}}]}, 
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| 2031 |                     1.7976865408182852`}}]}, 
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| 2034 | \\)\"\>", {1.35, 0.35}, {0, -1},
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| 2042 |                     
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| 2043 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(m\\), \
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| 2044 | \\(1\\)]\\) = 0.1 eV\"\>",
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| 2049 |                     
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| 2050 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(m\\), \
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| 2051 | \\(2\\)]\\) = 0.3 eV\"\>",
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| 2056 |                     
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| 2057 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(m\\), \
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| 2058 | \\(3\\)]\\) = 0.4 eV\"\>",
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| 2109 |                     
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| 2110 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(\[Theta]\\\
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| 2111 | ), \\(12\\)]\\)=10. deg\"\>",
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| 2117 |                     
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| 2118 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(\[Theta]\\\
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| 2119 | ), \\(13\\)]\\)=20. deg\"\>",
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| 2125 |                     
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| 2126 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(\[Theta]\\\
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| 2127 | ), \\(23\\)]\\)=30. deg\"\>",
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| 2135 | \\!\\(TraditionalForm\\`\\(\\\"5.514\\\" \[Times] 10\\^\\\"-15\\\"\\)\\) \
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| 2136 | sec\"\>",
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| 2143 |                   
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| 2144 |                   GraphicsBox[{PointBox[{0, 0}], PointBox[{8.9, 5.75}], 
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| 2149 |                     1.9760852420183614`}}]}, 
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| 2155 |                      LineBox[{{6.050000000000001, 1.7}, {5.8150768448035235`, 
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| 2156 |                     2.106898840674687}}]}, 
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| 2163 |                     BaseStyle->{FontSize -> 24}], 
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| 2166 |                     BaseStyle->{FontSize -> 24}], InsetBox[
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| 2167 |                     
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| 2168 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(m\\), \
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| 2169 | \\(1\\)]\\) = 0.1 eV\"\>",
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| 2171 |                     "\!\(\*SubscriptBox[\(m\), \(1\)]\) = `` eV", "0.1"],
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| 2174 |                     
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| 2175 |                     InterpretationBox["\<\"\\!\\(\\*SubscriptBox[\\(m\\), \
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| 2176 | \\(2\\)]\\) = 0.3 eV\"\>",
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