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Translation Operator
Translation Operator
Feb 09, 2025
1 min read
Physics
T
^
(
a
)
ψ
(
x
)
=
ψ
(
x
−
a
)
T
^
(
a
)
=
exp
(
−
ℏ
ia
p
^
)
p
^
is the
momentum operator
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Table of Contents
T
^
(
a
)
ψ
(
x
)
=
ψ
(
x
−
a
)
\displaystyle \hat{T}(a)\psi(x)=\psi(x-a)
T
^
(
a
)
ψ
(
x
)
=
ψ
(
x
−
a
)
T
^
(
a
)
=
exp
(
−
i
a
ℏ
p
^
)
\displaystyle \hat{T}(a)=\exp\left( -\frac{ia}{\hbar}\hat{p} \right)
T
^
(
a
)
=
exp
(
−
ℏ
ia
p
^
)
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Quantum Operators
Symmetry