Hamiltoniansystem
this the classical theory Hamiltonian In classical mechanics , a Hamiltoniansystem is a physical system ... . In mathematics , a Hamiltoniansystem is a system of differential equation s which can be written ..
Hamiltonian Hamiltonian may refer to In mathematics HamiltoniansystemHamiltonian path , in graph theory Hamiltonian ... vector field Quaternions Hamiltonian numbers or quaternions In physics HamiltoniansystemHamiltonian ..
Hamiltonian path
Image Hamiltonian path.svg right thumb A Hamiltonian cycle in a dodecahedron . Like all platonic solid s, the dodecahedron is Hamiltonian. Image Hamilton path.gif right frame A Hamiltonian path black over ..
Hamiltonian mechanics
dimensional system consisting of one particle of mass m and exhibiting conservation of energy The Hamiltonian mechanics Hamiltonian math mathcal H math represents the energy of the system, which is the sum ..
Hamiltonian matrix
In mathematics , a Hamiltonian matrix A is any real 2n 2n matrix mathematics matrix that satisfies the condition ..., math A math is Hamiltonian if and only if math KA A T K T KA A T K 0. , math In the vector space ..
Molecular Hamiltonian
B. Podolsky, Quantum mechanically correct form of Hamiltonian function for conservative system , Phys ...In atomic, molecular, and optical physics as well as in quantum chemistry , molecular Hamiltonian is the name ..
Hamiltonian completion
The Hamiltonian completion problem is to find the minimal number of edges to add to a graph mathematics graph to make it Hamiltonian graph Hamiltonian . The problem is clearly NP hard in general case since ..
Hamiltonian group
a Hamiltonian group . The most familiar and smallest example of a Hamiltonian group is the quaternion group of order 8, denoted by Q sub 8 sub . It can be shown that every Hamiltonian group is a direct ..
Hamiltonian constraint
In loop quantum gravity , dynamics such as time evolutions of fields are controlled by the Hamiltonian constraint . The identity of the Hamiltonian constraint is a major open question in quantum gravity ..
Dyall Hamiltonian
In quantum chemistry , the Dyall Hamiltonian is a modified Hamiltonian with two electron nature. It can ... Hamiltonian behaves like the true Hamiltonian inside the CAS space, having the same eigenvalues and eigenvectors ..
Hamiltonian (control theory)
The Hamiltonian of Optimal control optimal control theory was developed by Lev Semyonovich Pontryagin ... by, but is distinct from, the Hamiltonian mechanics Hamiltonian of classical mechanics. Pontryagin proved ..
Hamiltonian economic program
10 bill The Hamiltonian economic program was the set of measures that were proposed by American Founding ... within the United States. Related articles American System economic plan , for the plan of Henry ..
Hamiltonian (quantum mechanics)
the total energy of a system. Like any other self adjoint operator , the spectrum of the Hamiltonian ... . It is the time evolution operator , or propagator , of a closed quantum system. If the Hamiltonian ..
Liouville's theorem (Hamiltonian)
systems, involves describing a classical system using Hamiltonian mechanics. Classical variables ... mechanics statistical and Hamiltonian mechanics . It asserts that the phase space phase space distribution ..
Hamiltonian path problem
In the mathematics mathematical field of graph theory the Hamiltonian path problem and the Hamiltonian cycle problem are problems of determining whether a Hamiltonian path or a Hamiltonian cycle exists ..
Skew-Hamiltonian matrix
In linear algebra , skew Hamiltonian matrices are special Matrix mathematics matrices which correspond .... A linear map math A V mapsto V math is called a skew Hamiltonian operator with respect to math ..
Hamiltonian lattice gauge theory
In physics , Hamiltonian lattice gauge theory is a calculational approach to gauge theory and a special case of lattice gauge theory in which the space is discretized but time is not. The Hamiltonian is then re ..
Hamiltonian vector field
In 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 and mathematician William ..
Hamiltonian fluid mechanics Hamiltonian fluid mechanics is the application of Hamiltonian mechanics Hamiltonian methods to fluid ... varphi vec x , rho vec y delta d vec x vec y math and the Hamiltonian by math mathcal H int mathrm ..
Geodesics as Hamiltonian flows
s. Repeated indices imply the use of the summation convention . Hamiltonian approach to the geodesic equations Geodesics can be understood to be the Hamiltonian flow s of a special Hamiltonian vector ..
Classical Hamiltonian quaternions
Copyedit date January 2008 Classical Hamiltonian quaternions were the topic of works written before 1901 on the subject of quaternion s. Quaternion Calculus was a complete system of mathematics that included ..
The System
The System can refer to Any system Any system of government , law , or bureaucracy . The phrase in this usage ... The System band , a U.S. American funk pop band of the 1980s The System, a comic book by American author ..
System
otheruses Image System boundary.svg thumb right 250px A schematic representation of a closed system and its boundary System from Latin syst?ma , in turn from Greek language Greek polytonic ??????? syst?ma ..
American System
The term American System can mean one of the following American system of manufacturing , for a system of manufacturing developed in America. American System economic plan , for the program of Henry Clay ..
Integrable system
dimensional Hamiltoniansystem is completely integrable in the Liouville sense, and the energy ... , which refers to overdetermined systems. In the classical theory of Hamiltonian dynamical systems ..