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The motion of two interacting particles (atoms or nuclei) can be described by the following radial Schrödigner equation d e(l+1 -2 [11 (24) – (((+¹) + V(r)] Re(k;r) = ERek;r). where Re(r) is the radial wave function, μ = the reduced mass, V the interacting potential, 2μE Using E the total energy, and k the wave number, given by k = Re(kr) = u(k,r) kr show that the above Schrödigner equation reduces to [ + ² (²+1) – 2/#/V (r) + k2²] ue(k;r) = 0 1-²

The motion of two interacting particles (atoms or nuclei) can be described by the following radial Schrödigner equation d e(l+1 -2 [11 (24) – (((+¹) + V(r)] Re(k;r) = ERek;r). where Re(r) is the radial wave function, μ = the reduced mass, V the interacting potential, 2μE Using E the total energy, and k the wave number, given by k = Re(kr) = u(k,r) kr show that the above Schrödigner equation reduces to [ + ² (²+1) – 2/#/V (r) + k2²] ue(k;r) = 0 1-²

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W | File 70 Paste 14+1+13+1+12+|+11·10 ·9·1·8·1·7·1·6·1·5·1·4·1·3·1·2·1·1····1·1·20 Home Document1 - Microsoft Word (Product Activation Failed) Insert Page Layout References Review View T Calibri (Body) 14 T Α Α΄ B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbCc AaBl AaBbCcl BIU abe X, X² A ab T 트플 1 Normal No Spaci... Heading 1 Heading 2 Title Subtitle Font Paragraph G Styles ·2·1·1·····1·1·2·1·3·1·4·1·5·1· 6 · 1 · 7 · 1 · 8 · 1 ·9·1·10·1·11·1·12·1·13· |·14·1·15· |· · |·17· 1 · 18 · | I I I I I ATOMIC AND NUCLEAR PHYSICS PLEASE ANSWER ALL QUESTIONS The motion of two interacting particles (atoms or nuclei) can be described by the following radial Schrödigner equation d l(l 1) −2² [12 a (rªd) – (C,+¹) + V(r)]Re(k;r) = ERe(k;r). 2μ dr where Re(r) is the radial wave function, μ = 2, the reduced mass, V the interacting potential, my+m₂ E the total energy, and k the wave number, given by k = 2μE h² 2. Using Re(k,r) = u₂(k,r) kr show that the above Schrödigner equation reduces to l(l + 1)_24² ď² + dr2 – 25/V (r) + K2²]ue(k,r) = 0. p2 Cut Copy Format Painter Clipboard I▬▬▬ ► (0 07:35 PM 2022-05-24 Page: 1 of 1 Words: 8 I U abe X₂ X² Mailings Aal Aa יד Find A Час Replace Change Styles Select G Editing Ef R 90% Ⓒ @? E OG
Transcribed Image Text:W | File 70 Paste 14+1+13+1+12+|+11·10 ·9·1·8·1·7·1·6·1·5·1·4·1·3·1·2·1·1····1·1·20 Home Document1 - Microsoft Word (Product Activation Failed) Insert Page Layout References Review View T Calibri (Body) 14 T Α Α΄ B-B-S ## T AaBbCcDc AaBbCcDc AaBbC AaBbCc AaBl AaBbCcl BIU abe X, X² A ab T 트플 1 Normal No Spaci... Heading 1 Heading 2 Title Subtitle Font Paragraph G Styles ·2·1·1·····1·1·2·1·3·1·4·1·5·1· 6 · 1 · 7 · 1 · 8 · 1 ·9·1·10·1·11·1·12·1·13· |·14·1·15· |· · |·17· 1 · 18 · | I I I I I ATOMIC AND NUCLEAR PHYSICS PLEASE ANSWER ALL QUESTIONS The motion of two interacting particles (atoms or nuclei) can be described by the following radial Schrödigner equation d l(l 1) −2² [12 a (rªd) – (C,+¹) + V(r)]Re(k;r) = ERe(k;r). 2μ dr where Re(r) is the radial wave function, μ = 2, the reduced mass, V the interacting potential, my+m₂ E the total energy, and k the wave number, given by k = 2μE h² 2. Using Re(k,r) = u₂(k,r) kr show that the above Schrödigner equation reduces to l(l + 1)_24² ď² + dr2 – 25/V (r) + K2²]ue(k,r) = 0. p2 Cut Copy Format Painter Clipboard I▬▬▬ ► (0 07:35 PM 2022-05-24 Page: 1 of 1 Words: 8 I U abe X₂ X² Mailings Aal Aa יד Find A Час Replace Change Styles Select G Editing Ef R 90% Ⓒ @? E OG
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