II.
LibraryProcess overview
Reference · livelib-process:physics--mathematical-model-derivation
mathematical-model-derivation overview
Systematic derivation of mathematical models from first principles to describe physical systems, including Hamiltonian/Lagrangian formulations, symmetry analysis, and validation against known cases.
Attributes
displayName
mathematical-model-derivation
description
Systematic derivation of mathematical models from first principles to describe physical systems,
including Hamiltonian/Lagrangian formulations, symmetry analysis, and validation against known cases.
libraryPath
library/specializations/domains/science/physics/mathematical-model-derivation.js
specialization
physics
references
- - Goldstein, Classical Mechanics - Landau & Lifshitz, Mechanics - Arnold, Mathematical Methods of Classical Mechanics
example
const result = await orchestrate('specializations/domains/science/physics/mathematical-model-derivation', {
systemName: 'Coupled Harmonic Oscillators',
physicalDomain: 'Classical Mechanics',
degreesOfFreedom: ['position_1', 'position_2', 'momentum_1', 'momentum_2'],
constraints: ['total_energy_conserved', 'periodic_boundary_conditions'],
knownLimits: ['weak_coupling_limit', 'single_oscillator_limit']
});
usesAgents
- theoretical-model-developer
- perturbation-theory-analyst
- physics-paper-writer
Outgoing edges
lib_applies_to_domain1
- domain:physics·DomainPhysics
lib_belongs_to_specialization1
- specialization:physics·SpecializationPhysics
lib_implements_workflow2
- workflow:experiment-design·WorkflowExperiment Design
- workflow:peer-review-cycle·WorkflowPeer Review Cycle
lib_involves_role2
- role:research-engineer·RoleResearch Engineer
- role:computational-scientist·RoleComputational Scientist
lib_requires_skill_area3
- skill-area:statistical-analysis·SkillAreaStatistical Analysis
- skill-area:mathematical-reasoning·SkillAreaMathematical Reasoning
- skill-area:data-analysis·SkillAreaData Analysis
uses_agent3
- lib-agent:physics--theoretical-model-developer·LibraryAgenttheoretical-model-developer
- lib-agent:physics--perturbation-theory-analyst·LibraryAgentperturbation-theory-analyst
- lib-agent:physics--physics-paper-writer·LibraryAgentphysics-paper-writer
Incoming edges
None.