Consider a particle of mass m which can mave fredy alang the x-axis angwhere from X=-½to x=9/2, but which is strictly prohibited from being faund out side this region. tの A cas TX. くX ; elsewhere ー2 a/2 salution that this wavefunction ? is a O Uerify of the Schrödinger's equation. Assume U=o. 2 Determine the value of E. ® Verify the Uncertanty Phinciple: Axapzs
Consider a particle of mass m which can mave fredy alang the x-axis angwhere from X=-½to x=9/2, but which is strictly prohibited from being faund out side this region. tの A cas TX. くX ; elsewhere ー2 a/2 salution that this wavefunction ? is a O Uerify of the Schrödinger's equation. Assume U=o. 2 Determine the value of E. ® Verify the Uncertanty Phinciple: Axapzs
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Consider a particle of mass m which can move freely along the x axis anywhere from x=-a/2 to x=a/2, but which is strictly prohibited from being found outside this region (technically this is the infinite square well potential).
1. Verify that the attached wavefunction is a solution of the Schrodinger's equation. Consider V=0.
2. Deduce the value of the energy E.
3. Verify the uncertainty principle
Transcribed Image Text:Consider a particle f mass m which can mave
fready
aleng the x-axis angwhere fram x=-%to x=a/2, but
which is strictly prohibited from being faund aut side
this region.
too
too
A cas TTX ĕ
acx<a
2
Yt) =
%3D
; elsewhere
a/2
that this wavefunction E is a salution
o Venify
of the Schrödinger's equation. Assume U=o.
O Determine the value of E.
® Verify the Uncertadity Phinciple: Axapzte
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