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2.6. DEBROGLIEWAVES 33

atom.Nowtheconditionforastandingwaveon,e.g.,acircularstring,issimplythat
anintegralnumberofwavelengthsfitalongthecircumference,i.e.

nλ= 2 πr (2.44)

Butthen,undertheassumptionthatthewavelengthofanelectron”wave”isrelated
toitsmomentumbyp=h/λ,thisbecomes

n

h

p

= 2 πr (2.45)

or
pr=n ̄h (2.46)

whichispreciselyBohr’squantizationcondition!
AlthoughderivingtheBohrmodelisasplendidachievementofdeBroglie’sas-
sumptions,itisstilltruethatanywavemotionshouldexhibitinterferencephenomena.
Bysendinglightthroughapairofslits,Young(in1801)foundthecharacteristic2-slit
interferencepatternofwavemotion,therebyconfirmingthewave-likenatureoflight.
Whatifonedoesthesameexperimentwithelectrons?