Solving for constants given boundary conditions

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SUMMARY

The discussion focuses on solving for constants in a wavefunction given boundary conditions, specifically addressing the equation sin(kL) = 0. The user initially assumed A = B = 0 and C = -C*, but recognized that B is not necessarily zero due to multiple values of k satisfying the boundary condition. The correct approach involves normalizing the wavefunction after determining the appropriate values of k.

PREREQUISITES
  • Understanding of wavefunctions in quantum mechanics
  • Familiarity with boundary conditions in differential equations
  • Knowledge of normalization techniques for wavefunctions
  • Basic grasp of trigonometric functions and their properties
NEXT STEPS
  • Study the implications of boundary conditions on wavefunctions in quantum mechanics
  • Learn about normalization of wavefunctions in quantum systems
  • Explore the solutions to the equation sin(kL) = 0 and its significance
  • Investigate the role of constants A, B, and C in wavefunction analysis
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Students and professionals in physics, particularly those studying quantum mechanics and wavefunctions, as well as educators seeking to clarify concepts related to boundary conditions and normalization.

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Homework Statement



[PLAIN]http://img843.imageshack.us/img843/3515/11193469.png


Homework Equations





The Attempt at a Solution



[PLAIN]http://img801.imageshack.us/img801/4829/scan0001i.jpg

An upload of my attempt to solve the problem. Not sure to interpret the results.
A = B = 0
C = -C*
C = Ce-2ikL
 
Last edited by a moderator:
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That's not quite right. There can be other values of k for which sin(kL)=0. This means that B is not necessarily zero. Hence solve the equation sin(kL)=0 for k.
After this to get the B you have to normalize the wavefunction.
 

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