A particle of mass m is confined in an infinte potential as shown below. V→∞0 V = 0 V→∞ -L/2 +L/2 (a) Derive the wavefunction for the particle (b) Determine the energy eigenvalues En of the particle. 2 E (c) Show that the pressure exerted by the particle in the quantum wire is p = 3 V' V=L³ is the volume. where

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1. A particle of mass m is confined in an infinte potential as shown below.
V→∞0
V = 0
V→∞
-L/2
+L/2
(a) Derive the wavefunction for the particle
(b) Determine the energy eigenvalues En of the particle.
(c) Show that the pressure exerted the particle in the quantum wire is p = 3, where
V
V=L³ is the volume.
Transcribed Image Text:1. A particle of mass m is confined in an infinte potential as shown below. V→∞0 V = 0 V→∞ -L/2 +L/2 (a) Derive the wavefunction for the particle (b) Determine the energy eigenvalues En of the particle. (c) Show that the pressure exerted the particle in the quantum wire is p = 3, where V V=L³ is the volume.
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