Solving Schrödinger Equation: A, V(x), and a Hint

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SUMMARY

The discussion focuses on solving the Schrödinger Equation, specifically addressing parts a, b, and c of a homework problem. In part a, the wave function's probability density is defined as |\psi|^{2} = A, indicating a constant probability across the domain. Part b identifies the potential energy function as V(x) = 0, suggesting a free particle scenario. The participants seek a hint for part c, which remains unspecified in the text.

PREREQUISITES
  • Understanding of quantum mechanics principles
  • Familiarity with the Schrödinger Equation
  • Knowledge of wave functions and probability densities
  • Basic concepts of potential energy in quantum systems
NEXT STEPS
  • Study the implications of V(x) = 0 in quantum mechanics
  • Explore solutions to the time-independent Schrödinger Equation
  • Investigate normalization conditions for wave functions
  • Review boundary conditions in quantum systems
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Students of quantum mechanics, physics educators, and anyone tackling problems related to the Schrödinger Equation and wave functions.

Messy
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Homework Statement



Please see attached image .

Homework Equations



Schrödinger Equation

The Attempt at a Solution



For part a ) |\psi|^{2} = A

For Part b) V(x) = 0

For Part c) Just need a hint
 
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Messy said:
Please see attached image .

Please attach image :smile:
 

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