Question

2. A particle is found in a three-dimensional potential well so that U = U. for r > R and U = 0 for r < R. Find the wavefunct

a ihy at t2 V24 +U(r)Y 2m (1.106)

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Answer #1

given that paulide is found Yn 3-elimensional potential and the potential is defined aj - vo 4 ZR Ular 0 4 <R They by using s010) al (** 42 VR + d .42 d4 R$ esino do 1 sino do do) + R © d20 aquino a 62 am -(EN) Rot t? diuided ly RO¢ multipy - dyin 20wane funution should be noymalued $11- Then Mid m= 0,Il-.. 4 e Ter similially o coudinale XCOLO dx -sino -sino C Clo do -sinoI d 2m 42. dr me) + muo ellet1) 42 P20 12 du h2 e 2 it 3.0 consider the value of potential 4neo.s -2me B? 2 d + ame 2 ellt)

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