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Free-particle propagator
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Quantum system
Quantum state
Observable
Hamiltonian (quantum mechanics)
Unitary time evolution
Quantum-mechanical propagator
Created
2026-09-28
Updated
2026-10-06
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For
a
free particle
of
mass
m
on the line,
K
(
x
f
,
T
;
x
i
,
0
)
=
2
πi
ℏ
T
m
exp
(
2ℏ
T
im
(
x
f
−
x
i
)
2
)
.
(1)
Ancestors
(10)
Quantum-mechanical propagator
Unitary time evolution
Hamiltonian (quantum mechanics)
Observable
Quantum state
Quantum system
Quantum mechanics
Branches of physics
Physics
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Past exam of the mathematics course of the University of Cambridge
/
2006
/
iii
/
Paper 49
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2008
/
iii
/
Paper 51
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2009
/
iii
/
Paper 48
/
1
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
/
iii
/
Paper 81
/
3
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 304
/
1
/
a
/
i
/
Solution
Position eigenstate
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