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Ladder operator
Ciro Santilli
(
@cirosantilli,
37
)
...
Particle physics
Quantum mechanics
Non-relativistic quantum mechanics
Schrödinger equation
Solutions of the Schrodinger equation
Quantum harmonic oscillator
Updated
2025-07-16
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www.physics.udel.edu/~jim/PHYS424_17F/Class%20Notes/Class_5.pdf
by James MacDonald shows it well.
The operators are
a
natural guess on the lines of "if
p
and
x
were
integers
".
And then
we
can prove the ladder properties easily.
The
commutator
appear in the middle of this
analysis
.
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Quantum harmonic oscillator
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