Equation
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c 2007 Jason Underdown
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Schrödinger equation
non-operator form
Quantum Mechanics
Definition
Quantum Mechanics
Formula
statistical interpretation of the wave function
Euler’s formula
Quantum Mechanics
Equation
Quantum Mechanics
Definition
time–independent Schrödinger equation
Quantum Mechanics
Hamiltonian operator
Quantum Mechanics
i~
∂Ψ
~2 ∂ 2 Ψ
=−
+VΨ
∂t
2m ∂x2
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eiθ = cos θ + i sin θ
Z
a
Ĥ = −
~2 2
∇ +V
2m
b
probability of finding the
|Ψ(x, t)|2 dx = particle between a and b,
at time t
The simplest way to write the time–independent
Schrödinger equation is Hψ = Eψ, however, with the
Hamiltonian operator expanded it becomes:
−
~2 d 2 ψ
+ V ψ = Eψ
2m dx2