Expectation Value in Inf. Box in an Eigenstate

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SUMMARY

The discussion focuses on deriving the expectation value for a particle in an infinite potential box, defined by the potential V=∞ for x<0 and x>L, and V=0 for 0 PREREQUISITES

  • Understanding of quantum mechanics principles, particularly wave functions and eigenstates.
  • Familiarity with the concept of potential wells and infinite potential boxes.
  • Knowledge of quantum numbers and their significance in energy levels.
  • Basic proficiency in mathematical expressions involving square roots and constants like ħ (reduced Planck's constant).
NEXT STEPS
  • Study the derivation of energy eigenvalues for a particle in an infinite potential box.
  • Learn about expectation values in quantum mechanics and their calculation methods.
  • Explore the implications of quantum numbers on physical properties of particles.
  • Review the mathematical techniques for solving differential equations in quantum mechanics.
USEFUL FOR

Students and researchers in quantum mechanics, particularly those tackling problems related to infinite potential wells and expectation values in quantum states.

EnershyMethod
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Homework Statement


Obtain an expression for the expectation value <Pxn>n N=1,2... of a particle in an infinite box ( V=\infty for x<0 and x>L ; V=0 for 0<X<L) which is in an eigenstate of the energy.


Homework Equations


Pn =+- \sqrt{2*m*En } = +- (n*pi*Hbar) / L


The Attempt at a Solution


I don't know how to approach the problem because I am not sure what the notation of P is in the question. I included that formula because it is the closest formula I could find.

How can I approach this? Thanks.
 
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