Look up Hamiltonian in Wiktionary, the free dictionary. Hamiltonian may refer to: Hamiltonian mechanics, a function that represents the total energy of...
1 KB (207 words) - 13:25, 12 October 2024
theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or...
18 KB (2,030 words) - 19:28, 20 September 2024
physics, Hamiltonian mechanics is a reformulation of Lagrangian mechanics that emerged in 1833. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics...
52 KB (9,277 words) - 18:05, 23 October 2024
In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential...
27 KB (4,903 words) - 04:26, 29 August 2024
The Hamiltonian constraint arises from any theory that admits a Hamiltonian formulation and is reparametrisation-invariant. The Hamiltonian constraint...
20 KB (3,745 words) - 20:35, 7 August 2023
molecular, and optical physics and quantum chemistry, the molecular Hamiltonian is the Hamiltonian operator representing the energy of the electrons and nuclei...
38 KB (5,204 words) - 02:55, 8 July 2024
The Hamiltonian path problem is a topic discussed in the fields of complexity theory and graph theory. It decides if a directed or undirected graph, G...
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A Hamiltonian system is a dynamical system governed by Hamilton's equations. In physics, this dynamical system describes the evolution of a physical system...
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Hamiltonian simulation (also referred to as quantum simulation) is a problem in quantum information science that attempts to find the computational complexity...
9 KB (1,181 words) - 14:01, 22 August 2024
physics, most commonly within condensed-matter physics, a gapped Hamiltonian is a Hamiltonian for an infinitely large many-body system where there is a finite...
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In mathematics, a Hamiltonian matrix is a 2n-by-2n matrix A such that JA is symmetric, where J is the skew-symmetric matrix J = [ 0 n I n − I n 0 n ]...
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Interaction picture (redirect from Free Hamiltonian)
interaction picture is a special case of unitary transformation applied to the Hamiltonian and state vectors. Operators and state vectors in the interaction picture...
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The Hamiltonian is a function used to solve a problem of optimal control for a dynamical system. It can be understood as an instantaneous increment of...
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Hamiltonian complexity or quantum Hamiltonian complexity is a topic which deals with problems in quantum complexity theory and condensed matter physics...
3 KB (385 words) - 21:40, 18 January 2024
The Hamiltonian Monte Carlo algorithm (originally known as hybrid Monte Carlo) is a Markov chain Monte Carlo method for obtaining a sequence of random...
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mathematics, a Hamiltonian decomposition of a given graph is a partition of the edges of the graph into Hamiltonian cycles. Hamiltonian decompositions...
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Dedekind group (redirect from Hamiltonian group)
non-abelian Dedekind group is called a Hamiltonian group. The most familiar (and smallest) example of a Hamiltonian group is the quaternion group of order...
4 KB (399 words) - 04:50, 16 September 2024
In theoretical physics, Hamiltonian field theory is the field-theoretic analogue to classical Hamiltonian mechanics. It is a formalism in classical field...
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Hamiltonian truncation is a numerical method used to study quantum field theories (QFTs) in d ≥ 2 {\displaystyle d\geq 2} spacetime dimensions. Hamiltonian...
22 KB (3,716 words) - 05:38, 31 March 2023
First-class constraint (redirect from Constrained hamiltonian system)
physics, a first-class constraint is a dynamical quantity in a constrained Hamiltonian system whose Poisson bracket with all the other constraints vanishes...
27 KB (4,556 words) - 23:44, 7 September 2024
mathematician Joseph Liouville, is a key theorem in classical statistical and Hamiltonian mechanics. It asserts that the phase-space distribution function is constant...
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Bose–Hubbard model (redirect from Bose hubbard hamiltonian)
corresponding Hamiltonian is called the Bose–Fermi–Hubbard Hamiltonian. The physics of this model is given by the Bose–Hubbard Hamiltonian: H = − t ∑ ⟨...
27 KB (3,830 words) - 19:03, 28 June 2024
Quaternion (redirect from Hamiltonian numbers)
In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton...
96 KB (12,688 words) - 12:38, 27 October 2024
mathematics and physics, a Hamiltonian vector field on a symplectic manifold is a vector field defined for any energy function or Hamiltonian. Named after the physicist...
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Symplectomorphism (redirect from Hamiltonian symplectomorphism)
Liouville's theorem in Hamiltonian mechanics follows. Symplectomorphisms that arise from Hamiltonian vector fields are known as Hamiltonian symplectomorphisms...
9 KB (1,104 words) - 17:24, 15 August 2024
Hamiltonian optics and Lagrangian optics are two formulations of geometrical optics which share much of the mathematical formalism with Hamiltonian mechanics...
34 KB (6,584 words) - 18:04, 23 October 2024
Hamiltonian coloring, named after William Rowan Hamilton, is a type of graph coloring. Hamiltonian coloring uses a concept called detour distance between...
3 KB (376 words) - 18:03, 11 August 2023
Analytical mechanics (section Hamiltonian mechanics)
and corresponding generalized velocities in configuration space) and Hamiltonian mechanics (using coordinates and corresponding momenta in phase space)...
40 KB (5,758 words) - 22:46, 21 September 2024
Petersen graph (section Hamiltonian paths and cycles)
The Petersen graph has a Hamiltonian path but no Hamiltonian cycle. It is the smallest bridgeless cubic graph with no Hamiltonian cycle. It is hypohamiltonian...
24 KB (2,943 words) - 11:37, 25 October 2024
Nambu mechanics (category Hamiltonian mechanics)
of Hamiltonian mechanics involving multiple Hamiltonians. Recall that Hamiltonian mechanics is based upon the flows generated by a smooth Hamiltonian over...
6 KB (735 words) - 04:26, 12 February 2024