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by
Ciro Santilli
(@cirosantilli,
25
)
Momentum operator
One dimension in
position representation
:
$p^ =−iℏ∂x∂ $
(1)
In three dimensions In position representation, we define it by using the
gradient
, and so we see that
$p^ =−iℏ∂x∂ $
(2)
Video 1
. Position and Momentum from Wavefunctions by
Faculty of Khan
(2018)
Source
. Proves in detail why the
momentum operator
is
$∂x∂ $
. The starting point is determining the time
derivative
of the
expectation value
of the
position operator
.
Ancestors
Position and momentum space
Uncertainty principle
Schrödinger equation
Non-relativistic quantum mechanics
Quantum mechanics
Particle physics
Physics
Natural science
Science
Index
Incoming links
Derivation of the Klein-Gordon equation
Momentum operator
Uncertainty principle
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