Undergrad Classical Mechanics with Hamiltonian formulation

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SUMMARY

The discussion centers on the search for an undergraduate textbook on Classical Mechanics that encompasses both Hamiltonian and Lagrangian formulations, with a specific interest in quantization and harmonic oscillators. A recommendation includes David Tong's lecture notes as a focused resource. Additionally, the participant mentions a textbook that covers both formalisms, noting the harmonic oscillator as a key example, but suggests checking library availability for access.

PREREQUISITES
  • Understanding of Classical Mechanics principles
  • Familiarity with Hamiltonian and Lagrangian formulations
  • Basic knowledge of quantization concepts
  • Experience with harmonic oscillators in physics
NEXT STEPS
  • Research David Tong's lecture notes on Classical Mechanics
  • Explore undergraduate textbooks that cover Hamiltonian and Lagrangian mechanics
  • Investigate online library resources for access to relevant textbooks
  • Study the application of harmonic oscillators in both formulations
USEFUL FOR

Undergraduate physics students, educators in Classical Mechanics, and anyone interested in the Hamiltonian and Lagrangian approaches to mechanics and quantization.

Gene Naden
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I am looking for an undergraduate textbook on Classical Mechanics that includes Hamiltonian and Lagrangian formulations. One reason for this is that I am interested in quantization and second quantization. It should include treatment of harmonics oscillators. Thanks!
 
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The final chapter of my book contains a treatment of both the Lagrangian and Hamiltonian formalisms with the harmonic oscillator being one of the more recurring examples in the case of the Hamiltonian formalism. However, it may be a bit much to consider it just for that part unless you can find it in a library or online library (I know my university has three online copies available to students).

For something more focused on those concepts only, you could try David Tong's lecture notes.
 
Thank you
 

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