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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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
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Document1 - Microsoft Word (Product Activation Failed)
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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
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·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
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I▬▬▬
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07:35 PM
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I U abe X₂ X²
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Aal
Aa
יד
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A
Час Replace
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G
Editing
Ef R 90% Ⓒ
@?
E
OG
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