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Problem in physics and quantum mechanics
The quantum many-body problem is a general name for a vast category of physical problems pertaining to deriving the behavior of multi-particle systems
Many-body_problem
Problem in physics and celestial mechanics
In physics, the n-body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally
N-body_problem
American sci-fi television series
3 Body Problem is an American science fiction television series created by David Benioff, D. B. Weiss, and Alexander Woo. It is the third adaptation of
3_Body_Problem_(TV_series)
Physics problem related to laws of motion and gravity
In physics, specifically classical mechanics, the three-body problem is to take the initial positions and velocities (or momenta) of three point masses
Three-body_problem
2008 science fiction novel by Liu Cixin
The Three-Body Problem (Chinese: 三体; pinyin: Sān tǐ; lit. 'three body') is a 2008 novel by the Chinese hard science fiction author Liu Cixin. It is the
The Three-Body Problem (novel)
The_Three-Body_Problem_(novel)
Motion problem in classical mechanics
the two-body problem is used to calculate and predict the motion of two massive bodies that are orbiting each other in space. The problem assumes that
Two-body_problem
Idiom describing valueless debate
of having one many-body problem, we would have many one-body problems. Thus, interactions are essential, and in fact the many-body problem may be defined
How many angels can dance on the head of a pin?
How_many_angels_can_dance_on_the_head_of_a_pin?
Open question in philosophy of how abstract minds interact with physical bodies
The mind–body problem is a philosophical problem concerning the relationship between thought and consciousness in the human mind and body. It addresses
Mind–body_problem
Concept in condensed matter physics
important in condensed matter physics because it can simplify the many-body problem in quantum mechanics. The theory of quasiparticles was started by
Quasiparticle
2023 Chinese science fiction television series
Three-Body (Chinese: 三体) is a Chinese science fiction television series adapted from the novel The Three-Body Problem by Liu Cixin, which was first published
Three-Body
Problem in physics and astronomy
In physics and astronomy, Euler's three-body problem is to solve for the motion of a particle that is acted upon by the gravitational field of two other
Euler's_three-body_problem
Fringe hypothesis
electron-electron interactions in ferritin arrays, which implicates the many-body problem. These hypotheses of the quantum mind remain hypothetical speculation
Quantum_mind
Probabilistic algorithms to simulate quantum many-body systems
a reliable solution (or an accurate approximation) of the quantum many-body problem. The diverse flavors of quantum Monte Carlo approaches all share the
Quantum_Monte_Carlo
Branch of philosophy
with the nature of the mind and its relation to the body and the external world. The mind–body problem is a paradigmatic issue in philosophy of mind, although
Philosophy_of_mind
Approximation of physical behavior
molecular field. This reduces any many-body problem into an effective one-body problem. The ease of solving MFT problems means that some insight into the
Mean-field_theory
Computational quantum mechanical modelling method to investigate electronic structure
framework, the intractable many-body problem of interacting electrons in a static external potential is reduced to a tractable problem of noninteracting electrons
Density_functional_theory
Numerical simulations of physical problems via computers
is a rapidly growing field that was developed due to the quantum many-body problem. Computational solid state physics is a very important division of
Computational_physics
Indian-American physicist
physicist, who played a leading role in the development of the nuclear many-body problem. Pandharipande obtained his bachelor's and master's degree from Nagpur
Vijay_Raghunath_Pandharipande
Quantum operator for the sum of energies of a system
{r} _{N},t)\end{aligned}}} However, complications can arise in the many-body problem. Since the potential energy depends on the spatial arrangement of
Hamiltonian (quantum mechanics)
Hamiltonian_(quantum_mechanics)
Classical approach to the many-body problem of astronomy
the fact that in many problems of celestial mechanics, the two-body orbit changes rather slowly due to the perturbations; the two-body orbit is a good
Perturbation_(astronomy)
Dilemma for life partners in academia
The two-body problem is a dilemma for life partners (e.g. spouses or any other couple) often referred to in academia, relating to the difficulty of both
Two-body_problem_(career)
Japanese mathematical physicist
statistical mechanics, quantum information theory, and the quantum many-body problem. She is a professor of mathematics at the Research Institute for Mathematical
Yoshiko_Ogata
Model of electronic band structures of solids
calculation of surface states and application to various kinds of many-body problem and quasiparticle calculations. The name "tight binding" of this electronic
Tight_binding
existence of many-body forces, most notably the three-nucleon interaction which is known to be an essential ingredient in the nuclear many-body problem. After
Ab initio methods (nuclear physics)
Ab_initio_methods_(nuclear_physics)
Criteria for a usable quantum computer
simulate quantum systems, such as in solving the quantum many-body problem. There have been many proposals for how to construct a quantum computer, all
DiVincenzo's_criteria
4th episode of the 1st season of 3 Body Problem
the fourth episode of the American science fiction television series 3 Body Problem, based on the Chinese novel series Remembrance of Earth's Past by Liu
Our_Lord_(3_Body_Problem)
Technique for many-body problems
renormalization group (NRG) is a technique devised to solve certain quantum many-body problems where impurities plays a key role. The numerical renormalization group
Numerical renormalization group
Numerical_renormalization_group
Curved path of an object around a point
mechanics emphasizing energy more than force, and made progress on the three-body problem, discovering the Lagrangian points with Euler. In a dramatic vindication
Orbit
Formulation of the quantum many-body problem
number representation, is a formalism used to describe and analyze quantum many-body systems. In quantum field theory, it is known as canonical quantization
Second_quantization
Correlators of field operators
In many-body theory, the term Green's function (or Green function) is sometimes used interchangeably with correlation function, but refers specifically
Green's function (many-body theory)
Green's_function_(many-body_theory)
Describes the range of energies of an electron within the solid
many-body problem via the introduction of an exchange-correlation term in the functional of the electronic density. DFT-calculated bands are in many cases
Electronic_band_structure
American nuclear theorist, researcher and educator
find correlations, and quantum computing algorithms for the nuclear many-body problem. Lee is a fellow of the American Physical Society. Lee received an
Dean_Lee
American physicist
Deborah Kay Watson is an American physicist known for her work on the many-body problem in quantum mechanics. She is a professor emerita of physics at the
Deborah_K._Watson
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
American mathematical physicist
Princeton University. Lieb's works pertain to the quantum and classical many-body problems, atomic structure, the stability of matter, functional inequalities
Elliott_H._Lieb
Branch of chemistry
methodologies to specific chemical questions. The complexity inherent in the many-body problem exacerbates the challenge of providing detailed descriptions of quantum
Computational_chemistry
American physicist (1922–2011)
Professor Emeritus at Stevens Institute of Technology. His work on the many-body problem yielded a foundation of classical fluid statistical mechanics, the
George_Yevick
How semiconductor lasers work
optical gain are rather simple, in semiconductors this is a complex many-body problem of interacting photons, electrons, and holes. Accordingly, understanding
Semiconductor_optical_gain
theory - a theoretical approach to the quantum many-body problem - and for several contributions to many-particle physics and spintronics. He is also the
Giovanni_Vignale
Scattering theory
effect has greatly influenced the understanding of the pion-nucleus many-body problem by realizing that the scattering of a pion from a nucleon in nuclear
Ericson–Ericson Lorentz–Lorenz correction
Ericson–Ericson_Lorentz–Lorenz_correction
American theoretical physicist
sensors, dark matter, ultracold atoms, fundamental symmetries, the many-body problem, high-precision atomic codes, an online atomic data portal, and highly
Marianna_Safronova
Philosophical problem
object. The mind–body problem is the problem of how the mind and the body relate. The mind-body problem is more general than the hard problem of consciousness
Hard_problem_of_consciousness
Austrian physicist
in several seemingly inaccessible areas of the quantum mechanical many-body problem and for making efficient, sophisticated computer programs accessible
Matthias_Troyer
Philosophical question
The problem of universals is an ancient question from metaphysics that has inspired a range of philosophical topics and disputes: "Should the properties
Problem_of_universals
techniques, of averages of operators in many-body quantum mechanical (Blankenbecler 1981, Ceperley 1977) or classical problems (Baeurle 2004, Baeurle 2003, Baeurle
Auxiliary-field_Monte_Carlo
Quantum error correction schemes can suppress the logical error rate arbitrarily low
simulate quantum systems. This problem is known as the quantum many body problem. However, quantum computers can simulate many (though not all) Hamiltonians
Threshold_theorem
Quantum consistency equation
1964 and C. N. Yang in 1967. They considered a quantum mechanical many-body problem on a line having c ∑ i < j δ ( x i − x j ) {\displaystyle c\sum _{i<j}\delta
Yang–Baxter_equation
American theoretical physicist (1928–2008)
quantum mechanical many-body problem, developing starting in 1957 a method for finding a self-consistent formulation for many-body field theories,
Robert_Kraichnan
Structure of the atomic nucleus
Company (1998), ISBN 981-02-3197-0. P. Ring & P. Schuck; The nuclear many-body problem, Springer Verlag (1980), ISBN 3-540-21206-X A. de Shalit & H. Feshbach;
Nuclear_structure
American research institute
concepts, theories, algorithms and codes needed to solve the quantum many-body problem and use the solutions to predict the behavior of materials and molecules
Flatiron_Institute
closed, non-relativistic quantum systems in the context of the quantum many-body problem. It is an extension of the variational Monte Carlo method, in which
Time-dependent variational Monte Carlo
Time-dependent_variational_Monte_Carlo
Japanese physicist (1906-1979)
work at the Institute for Advanced Study in Princeton. He studied a many-body problem on the collective oscillations of a quantum-mechanical system. In
Shin'ichirō_Tomonaga
Science fiction book trilogy by Liu Cixin
referred to as Three-Body from part of the title of its first novel, The Three-Body Problem (Chinese: 三体; pinyin: Sān Tǐ; lit. 'Three-Body'). The series details
Remembrance_of_Earth's_Past
Class of problems in classical mechanics
respectively. The problem is also important because some more complicated problems in classical physics (such as the two-body problem with forces along
Classical central-force problem
Classical_central-force_problem
Model in classical and quantum mechanics
1063/1.1665604. Sutherland, Bill (1971). "Exact Results for a Quantum Many-Body Problem in One Dimension". Physical Review A. 4 (5): 2019–2021. Bibcode:1971PhRvA
Calogero–Moser–Sutherland model
Calogero–Moser–Sutherland_model
German physicist
computational physicist whose research involves ultracold gases, the many-body problem, and out-of-equilibrium low dimensional correlated systems in quantum
Corinna_Kollath
Indian theoretical physicist
Sudhir R.; Khare, Avinash (25 October 1999). "An exactly solvable many-body problem in one dimension and the short-range Dyson model". Physics Letters
Sudhir_Ranjan_Jain
Topics referred to by the same term
to the many-body problem in physics and statistical mechanics Self-consistent mean field (biology), an application of this theory to the problem of protein
Self-consistent_mean_field
Umbrella term covering two types of dementia
be more accurate than "Lewy body disease". Dementia with Lewy bodies and Parkinson's disease dementia are similar in many ways, suggesting there may be
Lewy_body_dementia
German mathematical physicist
University of Munich. Her research involves statistical mechanics and the many-body problem in quantum mechanics. She is a co-author of the book Random Operators:
Simone_Warzel
Simulation of a dynamical system of particles
n-body problem for other applications). N-body simulations are widely used tools in astrophysics, from investigating the dynamics of few-body systems
N-body_simulation
Effective field theory of hadron interactions
inter-hadron force. It is "a framework for describing the nuclear many-body problem as a relativistic system of baryons and mesons". Quantum hadrodynamics
Quantum_hadrodynamics
Italian physicist
Carleo, Giuseppe; Troyer, Matthias (2017-02-10). "Solving the quantum many-body problem with artificial neural networks". Science. 355 (6325): 602–606. arXiv:1606
Giuseppe_Carleo
Computing by new or unusual methods
Carleo, Giuseppe; Troyer, Matthias (2017-02-10). "Solving the quantum many-body problem with artificial neural networks". Science. 355 (6325): 602–606. arXiv:1606
Unconventional_computing
Chinese science fiction writer (born 1963)
Award, and has also received the 2015 Hugo Award for his novel The Three-Body Problem, as well as the 2017 Locus Award for Death's End. He is also a winner
Liu_Cixin
8th episode of the 1st season of 3 Body Problem
first season finale of the American science fiction television series 3 Body Problem, based on the Chinese novel series Remembrance of Earth's Past by Liu
Wallfacer
Applications of machine learning to quantum physics
Carleo, Giuseppe; Troyer, Matthias (2017-02-09). "Solving the quantum many-body problem with artificial neural networks". Science. 355 (6325): 602–606. arXiv:1606
Machine_learning_in_physics
Simplification that approximates the electron–electron interaction in crystals as null
used to simplify a quantum many-body problem into single-particle approximations. While this simplification holds for many systems, electron–electron
Independent electron approximation
Independent_electron_approximation
Probabilistic problem-solving algorithm
particle and polymer systems. Quantum Monte Carlo methods solve the many-body problem for quantum systems. In radiation materials science, the binary collision
Monte_Carlo_method
System of interacting nucleons
ISBN 0-7503-0537-1. Richard D. Mattuck (1992). A Guide to Feynman Diagrams in the Many-body Problem (Reprint of 1974 McGraw-Hill second ed.). Courier Dover Publications
Nuclear_matter
French theoretical nuclear physicist
impact on the fields of quantum field theory, nuclear physics, and the many-body problem. Bloch was born on 18 March 1923 in Paris, France. He was admitted
Claude_Bloch
2008 Chinese science fiction novel
Liu Cixin. It is the sequel to the Hugo Award-winning novel The Three-Body Problem in the Remembrance of Earth's Past. The English version, translated by
The_Dark_Forest
Quantum field theory equations
of physical space Dirac operator Electromagnetism Kinetic momentum Many body problem Invariant mass Particle physics Positronium Ricci calculus Special
Two-body_Dirac_equations
Equations that describe the behavior of a physical system
system not subject to resultant forces. For a number of particles (see many body problem), the equation of motion for one particle i influenced by other particles
Equations_of_motion
British theoretical physicist
in establishing the first rigorous diagrammatic technique for the many-body problem and in proving a fundamental theorem on spontaneously broken global
Jeffrey_Goldstone
American physicist (1923-1997)
mass Schrieffer–Wolff transformation Wiener sausage Fermi liquid Many-body problem Anomalous magnetic moment Effective mass theory k·p perturbation theory
Joaquin_Mazdak_Luttinger
Philosophical theory
philosopher to formulate the mind–body problem in the form in which it exists today. However, the theory of substance dualism has many advocates in contemporary
Mind–body_dualism
Class of variational quantum states
programming Carleo, Giuseppe; Troyer, Matthias (2017). "Solving the quantum many-body problem with artificial neural networks". Science. 355 (6325): 602–606. arXiv:1606
Neural_network_quantum_states
Method for finding the exact solution of certain quantum mechanics models
used to calculate the exact wave functions of certain quantum-mechanical many-body systems, most commonly in one spatial dimension. This ansatz was introduced
Bethe_ansatz
18 mathematical problems stated in 1998
Smale's problems is a list of eighteen unsolved problems in mathematics proposed by Steve Smale in 1998 and republished in 1999. Smale composed this list
Smale's_problems
ISSN 0022-2488. Yang, C. N. (1967-12-04). "Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction". Physical
R-matrix
Programming language for quantum algorithms
Technology Review. 22 Dec 2017. Retrieved 2024-09-04. "Solving the quantum many-body problem with artificial neural networks". Microsoft Azure Quantum. 15 February
Q_Sharp
American theoretical physicist (born 1949)
generally recognised to provide accurate quantitative results for many-body problems described by quantum mechanics. Ceperley was born in Charleston, West
David_Ceperley
Quantum computing protocol
wide range of quantum many-body problems. For example, machine learning models could learn to solve ground states of quantum many-body systems and classify
Classical_shadow
Inability to describe conscious experiences in solely physical or structural terms
an explanatory problem. While I think this materialist response is right in the end, it does not suffice to put the mind-body problem to rest. Even if
Explanatory_gap
two-body problem in general relativity (or relativistic two-body problem) is the determination of the motion and gravitational field of two bodies as described
Two-body problem in general relativity
Two-body_problem_in_general_relativity
Thought experiment in ethics
The trolley problem is a thought experiment in moral philosophy and moral psychology with many variations, involving hypothetical ethical dilemmas about
Trolley_problem
Continuum of a physical particle-based quantity
Retrieved June 4, 2025. Nucleon-nucleon Interaction And The Nuclear Many-body Problem, The: Selected Papers Of Gerald E Brown And T T S Kuo (2010), p. 324
Single-particle_spectrum
Totality of psychological phenomena
phenomena as dispositions to engage in observable behavior. The mind–body problem is the challenge of explaining the relation between matter and mind.
Mind
Many problems in mathematical programming can be formulated as problems on convex sets or convex bodies. Six kinds of problems are particularly important:
Algorithmic problems on convex sets
Algorithmic_problems_on_convex_sets
1088/1751-8121/aa6800. S2CID 119626598. Mattis, Daniel C. (1993). The Many-Body Problem: An Encyclopedia of Exactly Solved Models in One Dimension. World
List of quantum-mechanical systems with analytical solutions
List_of_quantum-mechanical_systems_with_analytical_solutions
American physicist
to deeper understanding of physical phenomena in a broad range of many-body problems including quasiparticle aspects in nuclear structure, the interplay
Faqir_Chand_Khanna
Soviet mathematician and theoretical physicist (1909–1992)
Akademii Nauk USSR, 119, 52, 1958. "On One Variational Principle in Many Body Problem" (in Russian), Doklady Akademii Nauk USSR, 119, N2, 244, 1959. "On
Nikolay_Bogolyubov
American theoretical physicist
theories of the nuclear many-body problem and unparalleled achievements in the education of a generation of young nuclear many-body physicists". Theoretical
John_Dirk_Walecka
Algorithm in computational quantum physics
Carleo, Giuseppe; Troyer, Matthias (2017). "Solving the Quantum Many-Body Problem with Artificial Neural Networks". Science. 355 (6325): 602–606. arXiv:1606
Variational_Monte_Carlo
Computer hardware technology that uses quantum mechanics
Quantum computers are naturally good for solving complex quantum many-body problems and thus may apply to applications involving quantum chemistry. Quantum-enhanced
Quantum_computing
German mathematician and astronomer (1848–1919)
Ausgleichsrechnung (On a problem of curve fitting). (Leipzig 1886) Über die Integrale des Vielkörperproblems (On the integrals of the many-body problem). (Leipzig 1887)
Heinrich_Bruns
Approximation algorithm for the n-body problem
Fast multipole method References Pfalzner, Susanne; Gibbon, Paul (1996). Many-body tree methods in physics. Cambridge [u.a.]: Cambridge Univ. Press. pp. 2
Barnes–Hut_simulation
Mental disorder
muscular dysmorphia, patients perceive their body as excessively thin despite being muscular and trained. Many seek dermatological treatment or cosmetic
Body_dysmorphic_disorder
Geometry and construction of the foremost tip of airplanes, spacecraft and projectiles
Because of the problem of the aerodynamic design of the nose cone section of any vehicle or body meant to travel through a compressible fluid medium (such
Nose_cone_design
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