Calculating Energy Levels in a Finite Square-Well Potential

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SUMMARY

The discussion focuses on calculating the depth of a finite square-well potential required to contain three energy levels for a particle with a mass of 1.9 GeV/c². The potential well has a width of 2.8 x 10-15 m, and the energy levels can be approximated using results from the infinite square well potential. The conversation highlights the necessity of specific equations related to quantum mechanics to solve the problem effectively.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with finite square-well potential concepts
  • Knowledge of energy level calculations in quantum systems
  • Proficiency in using relevant equations, such as the Schrödinger equation
NEXT STEPS
  • Study the derivation of energy levels in a finite square-well potential
  • Learn about the infinite square well potential and its applications
  • Explore the Schrödinger equation and its solutions for different potentials
  • Investigate the implications of particle mass on energy levels in quantum mechanics
USEFUL FOR

Students and professionals in physics, particularly those focusing on quantum mechanics and potential well problems, will benefit from this discussion.

klhall2
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Consider a finite square-well potential well of width 2.8 multiplied by 10-15 m that contains a particle of mass 1.9 GeV/c2. How deep does this potential well need to be to contain three energy levels? (Except for the energy levels, this situation approximates a deuteron. Use the infinite square well potential result to approximate the energy levels.) I don't understand this question at all and need help.
 
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What about equations? I know what equations you need, but why haven't you recited them? If you did, the answers surely would be on your lap?
 

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