Problem Set 2

# Problem Set 2 - Content-type application/mathematica...

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (* Content-type: application/mathematica *) ( (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) ( (* CreatedBy='Mathematica 6.0' *) ( (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 893589, 19424] NotebookOptionsPosition[ 886370, 19174] NotebookOutlinePosition[ 886712, 19189] CellTagsIndexPosition[ 886669, 19186] WindowFrame->Normal ContainsDynamic->False*) C (* Beginning of Notebook Content *) Notebook[{ N Cell[CellGroupData[{ Cell["Problem Set 2", "Title", CellChangeTimes->{{3.430759638943*^9, 3.430759644844*^9}}], Cell[TextData[{ "1. Is the Wavefunction Necessary?\n", StyleBox["(a) ", "Section"] }], "Subtitle", CellChangeTimes->{{3.430759695801*^9, 3.430759762852*^9}}], Cell[BoxData[ RowBox[{ RowBox[{"\$Assumptions", "=", RowBox[{"{", RowBox[{ RowBox[{ SubscriptBox["a", "1"], "\[Element]", "Reals"}], ",", RowBox[{ SubscriptBox["a", "2"], "\[Element]", "Reals"}], ",", RowBox[{ SubscriptBox["a", RowBox[{"3", " "}]], "\[Element]", "Reals"}]}], "}"}]}], ";"}]], "Input", CellChangeTimes->{{3.430761220874*^9, 3.4307613405550003`*^9}, { 3.430761374139*^9, 3.430761466083*^9}}], Cell[CellGroupData[{ C Cell[BoxData[ RowBox[{ RowBox[{ SubscriptBox["\[CapitalPsi]", "1"], "[", "x_", "]"}], "=", RowBox[{ SubscriptBox["a", "1"], SuperscriptBox["\[ExponentialE]", FractionBox[ RowBox[{"-", SuperscriptBox[ RowBox[{"(", RowBox[{"x", "-", "2"}], ")"}], "2"]}], "2"]]}]}]], "Input", CellChangeTimes->{{3.4307597690550003`*^9, 3.430759893884*^9}, 3.4307599681610003`*^9, {3.430760115844*^9, 3.430760138076*^9}, { 3.4307605491730003`*^9, 3.4307605501280003`*^9}, {3.430760581124*^9, 3.430760585196*^9}, {3.430760628592*^9, 3.430760638179*^9}}], Cell[BoxData[ FractionBox[ SuperscriptBox["\[ExponentialE]", RowBox[{ RowBox[{"-", FractionBox["1", "2"]}], " ", SuperscriptBox[ RowBox[{"(", RowBox[{ RowBox[{"-", "2"}], "+", "x"}], ")"}], "2"]}]], SuperscriptBox["\[Pi]", RowBox[{"1", "/", "4"}]]]], "Output", CellChangeTimes->{ 3.430759971967*^9, 3.430760162201*^9, 3.430760551139*^9, {3.430760590429*^9, 3.4307606405690002`*^9}, 3.4308303529370003`*^9, 3.430832446593*^9, 3.430832979517*^9, 3.430833556252*^9, 3.430834875429*^9, 3.4308359014040003`*^9, 3.430836723926*^9}] }, Open ]], } Cell[CellGroupData[{ C Cell[BoxData[ RowBox[{ RowBox[{ SubscriptBox["\[CapitalPsi]", "2"], "[", "x_", "]"}], "=", RowBox[{ SubscriptBox["a", "2"], SuperscriptBox["\[ExponentialE]", RowBox[{"\[ImaginaryI]", " ", "2", RowBox[{"(", RowBox[{"x", "-", "2"}], ")"}]}]], SuperscriptBox["\[ExponentialE]", FractionBox[ RowBox[{"-", SuperscriptBox[ RowBox[{"(", RowBox[{"x", "-", "2"}], ")"}], "2"]}], "2"]]}]}]], "Input", CellChangeTimes->{{3.430759934102*^9, 3.430760092243*^9}, { 3.4307601425030003`*^9, 3.430760157542*^9}, {3.4307605435480003`*^9, 3.430760544189*^9}, {3.430760655935*^9, 3.4307606709519997`*^9}}], Cell[BoxData[ FractionBox[ SuperscriptBox["\[ExponentialE]", RowBox[{ RowBox[{"2", " ", "\[ImaginaryI]", " ",...
View Full Document

### Page1 / 330

Problem Set 2 - Content-type application/mathematica...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online