Hamiltonian Help: Learn Physics from Basics

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SUMMARY

The discussion focuses on learning about Hamiltonians and finding their eigenvalues, specifically in the context of classical and quantum mechanics. Participants recommend using "Thornton and Marion" for a basic understanding of Hamiltonians in classical mechanics, while "Griffiths" is suggested for quantum mechanics. Additionally, for the mathematical aspect of diagonalization, any introductory linear algebra textbook will suffice for understanding eigenvalues and eigenvectors.

PREREQUISITES
  • Basic knowledge of classical mechanics
  • Understanding of quantum mechanics principles
  • Familiarity with linear algebra concepts, particularly eigenvalues and eigenvectors
  • Access to textbooks such as "Thornton and Marion" and "Griffiths"
NEXT STEPS
  • Study "Thornton and Marion" for foundational concepts in classical mechanics
  • Read "Griffiths" to grasp quantum mechanics and Hamiltonians
  • Learn about diagonalization techniques in linear algebra
  • Explore additional resources on eigenvalues and eigenvectors in mathematical physics
USEFUL FOR

Students transitioning from basic physics and mathematics to advanced topics in classical and quantum mechanics, as well as anyone seeking to understand Hamiltonians and their eigenvalues.

bearhug8703
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hey I am i have just finished my final yr from Bangalore.. did phy n maths..interested in pursuing physics in the future.Cld i get some help regarding which books cld b followed if i want to learn Hamiltonian n findin its eigen values. If u cld suggest a book which deals from the basics of the above said ,since i have no knowledge abt the same.
 
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bearhug8703 said:
hey I am i have just finished my final yr from Bangalore.. did phy n maths..interested in pursuing physics in the future.Cld i get some help regarding which books cld b followed if i want to learn Hamiltonian n findin its eigen values. If u cld suggest a book which deals from the basics of the above said ,since i have no knowledge abt the same.

in what context?

if it's hamiltonians classical mechanics, i am unaware of a textbook that discusses eigenvalues of hamiltonians. (i personally used thornton and marion, so the treatment of hamiltonians was basic and minimal.)

if it's quantum mechanics, i am sure that any beginning-level quantum mechanics textbook (griffiths?) discusses this.

as far as the actual process of diagonalization of matrices (ie, finding eigenvalues and eigenvectors), any beginning textbook in linear algebra ought to be sufficient.
 

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