Quantum Mechanics: a non-normalizable state

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SUMMARY

The discussion centers on the wave function of a particle in a non-normalizable state represented by the equation \(\Psi(x) = 1 + \sin^2(kx)\). Participants explore the implications of measuring the particle's kinetic energy and the possible values and probabilities associated with such measurements. The conversation emphasizes the importance of understanding the underlying physics and mathematical principles before attempting to solve related problems.

PREREQUISITES
  • Understanding of wave functions in quantum mechanics
  • Familiarity with non-normalizable states
  • Knowledge of kinetic energy measurements in quantum systems
  • Basic proficiency in trigonometric functions and their applications in physics
NEXT STEPS
  • Research the implications of non-normalizable wave functions in quantum mechanics
  • Study the mathematical treatment of kinetic energy in quantum systems
  • Learn about normalization conditions for wave functions
  • Explore the role of probability distributions in quantum mechanics
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Students and researchers in quantum mechanics, physicists analyzing wave functions, and anyone interested in the mathematical foundations of quantum theory.

jalobo
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At a given moment, the wave function of a particle is in a non-normalizable state [tex]\Psi[/tex](x) = 1 + sin²(kx). By measuring its kinetic energy, what values are possible and with what probability?.
 
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jalobo said:
At a given moment, the wave function of a particle is in a non-normalizable state [tex]\Psi[/tex](x) = 1 + sin²(kx). By measuring its kinetic energy, what values are possible and with what probability?.

The idea of Homework Help is to help, not do.

What have you done?
What formulas do you think apply?
How have you tried to solve it?

But that said I think your question is more appropriate for
https://www.physicsforums.com/forumdisplay.php?f=154
 

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