CHM345_HW7_13

Nb in283 x0 out283 2 2 for 1 x so 1 printed

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Unformatted text preview: ions Exp 12 x ΩΜ Exp 12 x ^2 ΩΜ 0 && Ω Μ 0 Out[280]= 2ΜΩ Printed by Wolfram Mathematica Student Edition 2 12 x ^2 0 2 , CHM345_HW7_13.nb In[283]:= Σx,0 Out[283]= 2ΜΩ ΜΩ 2 For Ψ1 x : so Ν 1 Printed by Wolfram Mathematica Student Edition 5 6 CHM345_HW7_13.nb 2 1 In[277]:= 2 Π1 14 4 ΜΩ Integrate HermiteH Ν, ΩΜ HermiteH Ν, x x, , ΩΜ 12 x ΩΜ Exp ΩΜ , Assumptions x ^2 ΩΜ 12 x 12 Exp 0 && Ω Μ 2 12 x ^2 2 , 0 2 1 2 Π1 14 4 ΜΩ Integrate HermiteH Ν, x2 x, Out[277]= ΩΜ HermiteH Ν, , ΩΜ 12 x ΩΜ , Assumptions Exp 12 x ΩΜ Exp 12 x ^2 ΩΜ 0 && Ω Μ 2 12 x ^2 2 , 0 0 Out[278]= 4ΜΩ In[284]:= Out[284]= Σx,1 4ΜΩ 1 2 ΜΩ Printed by Wolfram Exercise 3. Determine, through aMathematica Sintegration, Σpx for Ψ0 x and Ψ1 x . nalytical tudent Edition Show that your values satisfies the general relation CHM345_HW7_13.nb 7 Exercise 3. Determine, through analytical integration, Σpx for Ψ0 x and Ψ1 x . Show that your values satisfies the general relation Σpx ,Υ ΩΜ 12 1 Υ (3) 2 In[287]:= 2 1 Π1 14 4 ΜΩ Integrate HermiteH Ν, D ΩΜ HermiteH Ν, x, , ΩΜ 12 x ΩΜ Exp , Assumptions Exp ΩΜ x ^2 ΩΜ 12 x 12 2 12 x ^2 0 && Ω Μ 2 ,x , 0 2 1 Π1 14 4 ΜΩ Integrate HermiteH Ν, 2 DD Out[288]= ΩΜ 12 x Exp 12 x ^2 2 2 HermiteH Ν, x , x , x, Out[287]= ΩΜ , ΩΜ ΩΜ 12 x Exp , Assumptions ΩΜ 0 ΜΩ 2 Printed by Wolfram Mathematica Student Edition 12 x ^2 0 && Ω Μ 2 0 , 8 CHM345_HW7_13.nb In[291]:= ΣPx ,0 Out[291]= ΜΩ 2 ΜΩ 2 For Ψ1 x : so Ν 1 Printed by Wolfram Mathematica Student Edition CHM345_HW7_13.nb 2 1 In[289]:= 2 Π1 14 4 ΜΩ Integrate HermiteH Ν, ΩΜ HermiteH Ν, D x, , ΩΜ 12 x ΩΜ Exp , Assumptions Exp ΩΜ x ^2 ΩΜ 12 x 12 2 12 x ^2 0 && Ω Μ 2 ,x , 0 2 1 2 Π1 14 4 ΜΩ Integrate...
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