PROBLEM. Separate the Schrödinger equation describing the hydrogen atom into three equations: an R(r) equation, a ©(0) equation, and a $(4) equation. 1 a 1 .2 *sin @ 30 (sine+ + p2 sin? e ap² r2 ar ar r? sin 0 Ə0 (6-59) 2µ E + v(r, 8, 4) = 0 47 Eor where 7, ɛ0, ħ, µ, and e are constants.
PROBLEM. Separate the Schrödinger equation describing the hydrogen atom into three equations: an R(r) equation, a ©(0) equation, and a $(4) equation. 1 a 1 .2 *sin @ 30 (sine+ + p2 sin? e ap² r2 ar ar r? sin 0 Ə0 (6-59) 2µ E + v(r, 8, 4) = 0 47 Eor where 7, ɛ0, ħ, µ, and e are constants.
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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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