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Q.3 Consider a particle is trapped in the region between x = 0 and x = L by infinitely high potential energy barriers (a partiele in a box). Assume that particle moves in only one direction (say x). The potential energy may be expressed as:| U(x) = 0 0 L = 00 a) Determine expression for energy of particle and show that it is quantized b) Determine the normalized wave function which describes this particle.

Q.3 Consider a particle is trapped in the region between x = 0 and x = L by infinitely high potential energy barriers (a partiele in a box). Assume that particle moves in only one direction (say x). The potential energy may be expressed as:| U(x) = 0 0 L = 00 a) Determine expression for energy of particle and show that it is quantized b) Determine the normalized wave function which describes this particle.

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Q.3 Consider a particle is trapped in the region between x = 0 and x = L by infinitely high potential energy barriers (a particle in a box). Assume that particle moves in only one direction (say x). The potential energy may be expressed as: U(x) = 0 0<x<L = 00 x< 0, x> L a) Determine expression for energy of particle and show that it is quantized b) Determine the normalized wave function which describes this particle.
Transcribed Image Text:Q.3 Consider a particle is trapped in the region between x = 0 and x = L by infinitely high potential energy barriers (a particle in a box). Assume that particle moves in only one direction (say x). The potential energy may be expressed as: U(x) = 0 0<x<L = 00 x< 0, x> L a) Determine expression for energy of particle and show that it is quantized b) Determine the normalized wave function which describes this particle.
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