Find Eigenvalue: Solutions for Beginners

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SUMMARY

The discussion focuses on finding the eigenvalue corresponding to the eigenfunction ψ = e2x for the operator d2/dx2. The key takeaway is that the eigenvalue can be determined by applying the operator to the eigenfunction and solving the resulting equation. The provided resource, a Wikipedia article on eigenvectors, serves as a foundational reference for beginners in understanding this concept.

PREREQUISITES
  • Understanding of differential operators, specifically d2/dx2
  • Basic knowledge of eigenvalues and eigenfunctions
  • Familiarity with exponential functions, particularly ex
  • Elementary calculus skills for solving differential equations
NEXT STEPS
  • Study the properties of eigenvalues and eigenfunctions in linear algebra
  • Learn how to apply differential operators to functions
  • Explore the relationship between eigenvalues and stability in differential equations
  • Review examples of eigenvalue problems in quantum mechanics or vibration analysis
USEFUL FOR

Students in mathematics or physics, particularly those new to eigenvalues and eigenfunctions, as well as educators seeking to explain these concepts to beginners.

stagger_lee
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Hi all, any help greatly appreciated.

Please bear in mind that i have no experience in any Physics and genuinly have no idea how to these questions.


Homework Statement



An eigenfunction of the operator d^2/dx^2 is ψ = e^2x. Find the corresponding eigenvalue.


Homework Equations





The Attempt at a Solution

 
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stagger_lee said:
Hi all, any help greatly appreciated.

Please bear in mind that i have no experience in any Physics and genuinly have no idea how to these questions.


Homework Statement



An eigenfunction of the operator d^2/dx^2 is ψ = e^2x. Find the corresponding eigenvalue.


Homework Equations





The Attempt at a Solution


Good Afternoon Stagger,

Please read this article as a start: http://en.wikipedia.org/wiki/Eigenvector
 

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