II.
LibraryProcess overview
Reference · livelib-process:physics--perturbation-theory-analysis
perturbation-theory-analysis overview
Apply perturbation methods to solve complex physical problems where exact solutions are intractable, including systematic expansion calculations, convergence analysis, and comparison with non-perturbative methods.
Attributes
displayName
perturbation-theory-analysis
description
Apply perturbation methods to solve complex physical problems where exact solutions are intractable,
including systematic expansion calculations, convergence analysis, and comparison with non-perturbative methods.
libraryPath
library/specializations/domains/science/physics/perturbation-theory-analysis.js
specialization
physics
references
- - Bender & Orszag, Advanced Mathematical Methods for Scientists and Engineers - Sakurai, Modern Quantum Mechanics (perturbation theory chapter) - Weinberg, Lectures on Quantum Mechanics
example
const result = await orchestrate('specializations/domains/science/physics/perturbation-theory-analysis', {
problemName: 'Anharmonic Oscillator',
unperturbedSystem: { hamiltonian: 'H0 = p^2/2m + kx^2/2', solutions: 'known' },
perturbation: { term: 'lambda * x^4', parameter: 'lambda' },
expansionOrders: 3,
comparisonMethods: ['numerical', 'variational']
});
usesAgents
- perturbation-theory-analyst
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_agent1
- lib-agent:physics--perturbation-theory-analyst·LibraryAgentperturbation-theory-analyst
Incoming edges
None.