PROBLEM. Separate the Schrödinger equation describing the hydrogen atom into three equations: an R(r) equation, a O(0) equation, and a $($) equation. 1 + r2 sin e a0 a sin 0- 1 72 ar + r2 sin? e ag² ar (6-59) E + 47 Eor | r (r, 0, $) = 0 where ë, ɛ0, ħ, µ, and e are constants.
PROBLEM. Separate the Schrödinger equation describing the hydrogen atom into three equations: an R(r) equation, a O(0) equation, and a $($) equation. 1 + r2 sin e a0 a sin 0- 1 72 ar + r2 sin? e ag² ar (6-59) E + 47 Eor | r (r, 0, $) = 0 where ë, ɛ0, ħ, µ, and e are constants.
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Chapter1: Chemical Foundations
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Mathematics for Chemists
![PROBLEM. Separate the Schrödinger equation describing the hydrogen atom
into three equations: an R(r) equation, a O(0) equation, and a $($) equation.
1
a
sin 8
1
r2 ar
ar
r? sin e a0
+
r2 sin? e ap²
(6-59)
e?
E +
47 Eor
V (r, 0, $) =
where 7, ɛ0, h, u, and e are constants.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d80ab94-6402-438e-a1fd-67ebd922750b%2Fb0127c85-2d6d-4c1e-a8e4-eed5d4504347%2Fm9cihcn_processed.png&w=3840&q=75)
Transcribed Image Text:PROBLEM. Separate the Schrödinger equation describing the hydrogen atom
into three equations: an R(r) equation, a O(0) equation, and a $($) equation.
1
a
sin 8
1
r2 ar
ar
r? sin e a0
+
r2 sin? e ap²
(6-59)
e?
E +
47 Eor
V (r, 0, $) =
where 7, ɛ0, h, u, and e are constants.
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