You are given a free particle (no potential) Hamiltonian Ĥ dependent wave-functions ¥₁(x, t) V₂(x, t) -it 2h² m = = sin(2x)е 2 sin(x)e ● What is the probability to find a quantum particle described by these functions in the range x = [0,0.5] at t = 1 ? 2 e-ithm + sin(2x)e-¯ (Note that you should always use normalized functions for questions on probability.) -2m dx² h²d² and two time- 。-it 2h 2 m
You are given a free particle (no potential) Hamiltonian Ĥ dependent wave-functions ¥₁(x, t) V₂(x, t) -it 2h² m = = sin(2x)е 2 sin(x)e ● What is the probability to find a quantum particle described by these functions in the range x = [0,0.5] at t = 1 ? 2 e-ithm + sin(2x)e-¯ (Note that you should always use normalized functions for questions on probability.) -2m dx² h²d² and two time- 。-it 2h 2 m
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You are given a free particle (no potential) Hamiltonian Î
dependent wave-functions
V₁(x, t)
V₂(x, t)
=
=
sin(27x)e-it 2²
m
ħ² d²
2m dx2
2 sin(x)e 2m + sin(2x)е¯`
-it hm²
-it 2hr 2
m
and two time-
(1)
(2)
● What is the probability to find a quantum particle described by these functions
in the range x = [0, 0.5] at t = 1 ?
(Note that you should always use normalized
functions for questions on probability.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12f51b64-c3b4-40b6-b565-16b387e10bf1%2F80d38c3e-0cea-4a8a-a854-1cde79d5ccfe%2Fm2dbf8_processed.png&w=3840&q=75)
Transcribed Image Text:=
You are given a free particle (no potential) Hamiltonian Î
dependent wave-functions
V₁(x, t)
V₂(x, t)
=
=
sin(27x)e-it 2²
m
ħ² d²
2m dx2
2 sin(x)e 2m + sin(2x)е¯`
-it hm²
-it 2hr 2
m
and two time-
(1)
(2)
● What is the probability to find a quantum particle described by these functions
in the range x = [0, 0.5] at t = 1 ?
(Note that you should always use normalized
functions for questions on probability.)
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