Chaos in Classical and Quantum Mechanics
E653527
"Chaos in Classical and Quantum Mechanics" is a seminal monograph by Martin Gutzwiller that systematically develops the theory of classical chaos and its profound connections to quantum mechanics, particularly through what is now known as the Gutzwiller trace formula.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Chaos in Classical and Quantum Mechanics canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T7287739 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Chaos in Classical and Quantum Mechanics Context triple: [Martin Gutzwiller, notableWork, Chaos in Classical and Quantum Mechanics]
-
A.
On a General Method in Dynamics
"On a General Method in Dynamics" is a foundational 19th-century paper by William Rowan Hamilton that introduced Hamiltonian mechanics, reformulating classical dynamics in terms of generalized coordinates and conjugate momenta.
-
B.
The Representation of Chaos
The Representation of Chaos is the dramatic opening section of Haydn’s oratorio "The Creation," depicting the primordial disorder before the emergence of light and order through striking harmonic and orchestral effects.
-
C.
Kolmogorov–Arnold–Moser theory
Kolmogorov–Arnold–Moser theory is a fundamental result in dynamical systems that explains the persistence of quasi-periodic motions in nearly integrable Hamiltonian systems under small perturbations.
-
D.
Chaos: Making a New Science
Chaos: Making a New Science is a popular science book that introduced and explained the concepts and history of chaos theory to a broad audience.
-
E.
chaos theory
Chaos theory is a branch of mathematics and physics that studies how small differences in initial conditions can lead to vastly different outcomes in complex, dynamical systems, making long-term prediction effectively impossible.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Chaos in Classical and Quantum Mechanics Target entity description: "Chaos in Classical and Quantum Mechanics" is a seminal monograph by Martin Gutzwiller that systematically develops the theory of classical chaos and its profound connections to quantum mechanics, particularly through what is now known as the Gutzwiller trace formula.
-
A.
On a General Method in Dynamics
"On a General Method in Dynamics" is a foundational 19th-century paper by William Rowan Hamilton that introduced Hamiltonian mechanics, reformulating classical dynamics in terms of generalized coordinates and conjugate momenta.
-
B.
The Representation of Chaos
The Representation of Chaos is the dramatic opening section of Haydn’s oratorio "The Creation," depicting the primordial disorder before the emergence of light and order through striking harmonic and orchestral effects.
-
C.
Kolmogorov–Arnold–Moser theory
Kolmogorov–Arnold–Moser theory is a fundamental result in dynamical systems that explains the persistence of quasi-periodic motions in nearly integrable Hamiltonian systems under small perturbations.
-
D.
Chaos: Making a New Science
Chaos: Making a New Science is a popular science book that introduced and explained the concepts and history of chaos theory to a broad audience.
-
E.
chaos theory
Chaos theory is a branch of mathematics and physics that studies how small differences in initial conditions can lead to vastly different outcomes in complex, dynamical systems, making long-term prediction effectively impossible.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
monograph
ⓘ
nonfiction book ⓘ physics book ⓘ |
| author |
Martin C. Gutzwiller
ⓘ
linked to:
Martin Gutzwiller
Martin Gutzwiller ⓘ |
| countryOfPublication |
United States
ⓘ
linked to:
United States of America
|
| describedAs |
seminal work in quantum chaos
ⓘ
systematic development of classical chaos and its quantum implications ⓘ |
| field |
chaos theory
ⓘ
classical mechanics ⓘ quantum chaos ⓘ quantum mechanics ⓘ |
| hasBibliography | yes ⓘ |
| hasIndex | yes ⓘ |
| hasMathematicalLevel | advanced ⓘ |
| hasSubjectClassification |
dynamical systems
ⓘ
mathematical physics ⓘ quantum theory ⓘ |
| influencedField |
quantum chaos
ⓘ
semiclassical physics ⓘ |
| intendedAudience |
graduate students in physics
ⓘ
researchers in nonlinear dynamics ⓘ |
| language | English ⓘ |
| notableFor |
linking spectra of quantum systems to classical periodic orbits
ⓘ
rigorous formulation of the Gutzwiller trace formula ⓘ |
| originalMediaType | print ⓘ |
| pageCountApproximate | 400 ⓘ |
| publicationYear | 1990 ⓘ |
| publisher | Springer ⓘ |
| relatedConcept |
periodic orbit theory
ⓘ
semiclassical quantization ⓘ |
| relatedWork | Gutzwiller trace formula ⓘ |
| series | Interdisciplinary Applied Mathematics ⓘ |
| seriesVolume | 1 ⓘ |
| topic |
Gutzwiller trace formula
ⓘ
Hamiltonian systems ⓘ Lyapunov exponents ⓘ Poincaré maps ⓘ
linked to:
Poincaré map
billiard systems ⓘ classical-quantum correspondence ⓘ nonlinear dynamics ⓘ periodic orbits ⓘ phase space ⓘ semiclassical approximation ⓘ spectral statistics ⓘ trace formulas ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Chaos in Classical and Quantum Mechanics Description of subject: "Chaos in Classical and Quantum Mechanics" is a seminal monograph by Martin Gutzwiller that systematically develops the theory of classical chaos and its profound connections to quantum mechanics, particularly through what is now known as the Gutzwiller trace formula.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.
subject linked to:
Gutzwiller