What is the minimum kinetic energy of a neutron in a nuclear potential well?

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SUMMARY

The minimum kinetic energy (KE) of a neutron in a nuclear potential well, modeled as a square well with a width of 10-12 cm, can be calculated using principles of quantum mechanics. The neutron, as part of an isolated system, occupies its lowest energy state, which is determined by the well's dimensions and the Heisenberg uncertainty principle. The relationship between the width of the well and the minimum potential energy is crucial for accurate calculations, emphasizing the need to apply quantum mechanics concepts effectively.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Heisenberg uncertainty principle
  • Basic concepts of potential wells
  • Kinetic energy calculations using classical mechanics
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  • Learn about quantum potential wells and their properties
  • Explore the mathematical derivation of energy levels in square wells
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bharath666
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1. Suppose that the potential seen by a neutron in a nucleus can be represented by a square well of width 10^(-12)cm with very high walls. What is minimum KE of the neutron in this potential ?
2. K.E = (1/2)mv^2
3. Its an isolated system, so it drops into its lowest energy state and the energy of the lowest state is higher than the minimum of potential energy. How to calculate the minimum potential energy with the width of well ? What to do with the width of well ?
 
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I think you are supposed to estimate it using the Heisenberg uncertainty relation.
 

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