> show that the time independ ent schrodinger equation for a partide teapped in a 30 harmonic well with 늦께u (고일y수 2리) can lbe %3D written as! 2. mwy (muz)= -amE X(I) %3D 4. Z(x) And also 24 show that 2. 2. mwx x- --X, Y- (mwy y= - EyY, 2 - X = 1. 4. Gx, Ey & Ez How is elated to How is the energy of 3D harmonic oscillator Ouantized using harmonic oscillator Solutions

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→ Show that
the time independent
schrodinger
30 harmonic well
for
partide teapped
equation
a
with
2.
2) can be
%3D
written as!
%3D
+ y" (2) - /mwy
Y (2)
2.
2.
muy
t.
-2mE
mWz
Z(x)
And also
show that
x"- (muz)"
2.
2.
2.
- EgY, 2"- (
-Ex
,Y-
mwy
4.
Ex, Ey & Ez
How is E related
to
How
is the
energy of 3D harmonic oscillator Quantized using
10 harmonic
oscillator Solutions
Transcribed Image Text:→ Show that the time independent schrodinger 30 harmonic well for partide teapped equation a with 2. 2) can be %3D written as! %3D + y" (2) - /mwy Y (2) 2. 2. muy t. -2mE mWz Z(x) And also show that x"- (muz)" 2. 2. 2. - EgY, 2"- ( -Ex ,Y- mwy 4. Ex, Ey & Ez How is E related to How is the energy of 3D harmonic oscillator Quantized using 10 harmonic oscillator Solutions
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