Hamiltonian equations are a representation of Hamiltonian mechanics. Please see the link.
The word canonical means "by a general law, rule, principle or criterion". When the Hamiltonian operator is applied to the (average momentum) wave function it gives quantized values. In this sense the Hamilton equations gives the Schrodinger equation discreet values by a general law.
The total energy of the system simply described in classical mechanics called as Hamiltonian.
The hamiltonian operator is the observable corresponding to the total energy of the system. As with all observables it is given by a hermitian or self adjoint operator. This is true whether the hamiltonian is limited to momentum or contains potential.
All the optimization problems in Computer Science have a predecessor analogue in continuous domain and they are generally expressed in the form of either functional differential equation or partial differential equation. A classic example is the Hamiltonian Jacobi Bellman equation which is the precursor of Bellman Ford algorithm in CS.
Equivalent equations are equations that have the same solution set.
G. A. Sardanashvili has written: 'Generalized Hamiltonian formalism for field theory' -- subject(s): Mathematics, Constraints (Physics), Manifolds (Mathematics), Hamiltonian systems, Lagrange equations, Field theory (Physics)
The word canonical means "by a general law, rule, principle or criterion". When the Hamiltonian operator is applied to the (average momentum) wave function it gives quantized values. In this sense the Hamilton equations gives the Schrodinger equation discreet values by a general law.
Hamiltonian is the proper adjective for Hamilton. For instance: The Hamiltonian view on the structure of government was much different from that of Jefferson.
The total energy of the system simply described in classical mechanics called as Hamiltonian.
A. Ciampi has written: 'Classical hamiltonian linear systems' -- subject(s): Dynamics, Hamiltonian systems
no
the Hamiltonian idea was the government is to have complete control of all decisions. an that everyone was controlled like big borther in 1984
Amadeu Delshams has written: 'A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem' -- subject(s): Differential equations, Mechanics, Nonholonomic dynamical systems, Qualitative theory
The hamiltonian operator is the observable corresponding to the total energy of the system. As with all observables it is given by a hermitian or self adjoint operator. This is true whether the hamiltonian is limited to momentum or contains potential.
A path along the edges of a graph that traverses every vertex exactly once and terminates at its starting point. Also known as Hamiltonian circuit; Hamiltonian cycle.
The Hamiltonian vision of the new nation was focused on the establishment of a sovereign nation that would be able to step out from the shadows on Great Britain.
Alexander Hamilton was a Federalist. He and his backers were called the "Hamiltonian's" as opposed to Thomas Jefferson's form of government. He and his followers were called the "Jeffersonians."-The Hamiltonian's wanted a very strong central government as they admired the English aristocracy and the English system of government and wished to see it used as a model.-Hamiltonian's considered the common people ignorant and incapable of self-government.-Hamiltonian's desired high voting qualifications, claiming that unfettered democracy was anarchy.-Hamiltonian's favored a broad interpretation of the Constitution to strengthen the central government at the expense of of state's rights.-Hamiltonian's wanted an expanding bureaucracy.-Hamiltonian's, under certain circumstances, favored restrictions on speech and the press.