Solve 1-D Potential Barrier: Electron, Width 8 Angstroms, Depth 12eV

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SUMMARY

The discussion focuses on solving a one-dimensional potential barrier problem involving an electron in a potential well of width 8 angstroms and depth 12 eV. The key to determining the number of bound states lies in applying principles from Quantum Mechanics, specifically the treatment of a 1D potential well. The number of bound states can be calculated using the formula derived from the Schrödinger equation, which relates the potential depth and width to the energy levels of the electron.

PREREQUISITES
  • Understanding of Quantum Mechanics principles
  • Familiarity with the Schrödinger equation
  • Knowledge of potential wells and bound states
  • Basic mathematical skills for solving differential equations
NEXT STEPS
  • Study the treatment of 1D potential wells in Quantum Mechanics textbooks
  • Learn how to apply the Schrödinger equation to find bound states
  • Explore the relationship between potential depth and the number of bound states
  • Investigate numerical methods for solving quantum mechanical problems
USEFUL FOR

Students and professionals in physics, particularly those focusing on Quantum Mechanics, as well as researchers working on quantum systems and potential barriers.

rajasekhar_09
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HI,all

This is rajasekhar ,
Please guide me how to solve below problem.

An electron moves in a one-dimensional potential of width 8 angstroms and depth 12eV then how to found number of bound states present?


Thanks&Regaurds
 
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Start with solving (or looking up) the solution for the 1D potential well -- you can find the treatment in any introductory book on Quantum Mechanics. What are the bound states for such a system? How many are there? You'll need to relate these abstract answers to the numbers you mentioned.
 

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