Chapter 41493Section 41.2A Particle in a BoxP41.3E1192 003 20 10==×−..eVJFor the ground-state,EhmLe1228=.(a)LhmEe×=−8434 100434110m nm(b)∆EE Ehhee=−=FHGIKJ−FHGIKJ=212222488600. eVP41.4For an electron wave to “fit” into an infinitely deep potential well, an integralnumber of half-wavelengths must equal the width of the well.nλ2100 109=×−mso=×=−200 109.nhp(a)SinceKpmhmhmnneee=×=−22292222200377ejeVForK≈6 eVn=4(b)Withn=4,K=603eVFIG. P41.4P41.5(a)We can draw a diagram that parallels our treatment of standingmechanical waves. In each state, we measure the distance dfrom one node to another (N to N), and base our solution uponthat:SincedN to N=2and
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