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| 2 |
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| 3 | (*** Wolfram Notebook File ***)
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| 4 | (* http://www.wolfram.com/nb *)
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| 20 | (* Beginning of Notebook Content *)
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| 21 | Notebook[{
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| 22 |
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| 23 | Cell[CellGroupData[{
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| 24 | Cell[TextData[{
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| 25 | "\nNeutrino' s Oscillations\n",
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| 26 | StyleBox["(from G. Gollin's lecture at UIUC)", "Subsection"]
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| 27 | }], "Section",
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| 30 | Cell[CellGroupData[{
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| 31 |
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| 32 | Cell["\<\
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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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| 35 | \>", "Subsection",
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| 92 | Cell["\<\
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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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| 95 | \>", "Subsection",
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| 130 | define a 3 - component object from the production amplitudes now \
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| 131 | \>", "Subsection",
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| 156 |
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| 157 | Cell["\<\
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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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| 169 | \tMixingMatrix * (neutrino mixture in terms of mass eigenstates)
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| 170 |
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| 171 | (neutrino mixture in terms of mass eigenstates) =
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| 173 | eigenstates)
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| 1951 | InterpretationBox["\<\"P = \
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| 1952 | \\!\\(TraditionalForm\\`\\\"0.171\\\"\\)\"\>",
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| 1953 | StringForm["P = ``",
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| 1954 | NumberForm[0.1706364963676445, 3]],
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| 1956 | BaseStyle->{FontSize -> 18}], InsetBox[
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| 1957 |
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| 1958 | InterpretationBox["\<\"P = \
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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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| 1962 | Editable->False], {3.7, 2.6999999999999997`}, {0, -1},
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| 1963 | BaseStyle->{FontSize -> 18}], InsetBox[
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| 1964 |
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| 1965 | InterpretationBox["\<\"P = \
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| 1966 | \\!\\(TraditionalForm\\`\\\"0.0404\\\"\\)\"\>",
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| 1967 | StringForm["P = ``",
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| 1971 | False], {6.050000000000001, 2.6999999999999997`}, {0, -1},
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| 1978 | \\)]\\)\"\>", {3.7, 3.05}, {0, -1},
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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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| 1985 | ), \\(12\\)]\\)=10. deg\"\>",
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| 1993 | ), \\(13\\)]\\)=20. deg\"\>",
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| 2001 | ), \\(23\\)]\\)=30. deg\"\>",
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| 2010 | sec\"\>",
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| 2018 | GraphicsBox[{PointBox[{0, 0}], PointBox[{8.9, 5.75}],
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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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