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Foundational Physics Research Methods
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Module 4
Constructing and Validating Toy Models
1
Degrees of Freedom and Energy Scales
Isolate the essential degrees of freedom for a physical phenomenon at a given energy scale.
Symmetry and Scaling in Hamiltonian and Lagrangian Construction
Construct a minimal Hamiltonian or Lagrangian that captures the key physics using symmetry and scaling principles.
3
Physical Basis for Model Terms
Justify the inclusion or exclusion of terms in a model based on physical arguments.
4
Checking Limiting Cases
Validate a model by checking its predictions in known and analytically tractable limiting cases.
5
Toy Model Limitations and Breakdown
Determine the domain of validity for a toy model and identify the physical effects that signal its breakdown.
6
Model Comparison: Parsimony & Predictive Power
Compare competing models for the same system based on parsimony and predictive power.
Previous module
Symmetry and Conservation Laws
Next module
Perturbation Theory and Variational Methods