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Why Hamilton's equations are called canonical equations?
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.
What is Hamiltonian function?
The total energy of the system simply described in classical mechanics called as Hamiltonian.
Is momentum hamiltonian operator is hermitian operator?
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.
What are the applications of partial differential equations in computer science?
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.
What are equivalant equations?
Equivalent equations are equations that have the same solution set.
What does the Hamiltonian system refer to?
The Hamiltonian system refers to a dynamical system in classical mechanics that is described using Hamilton's equations of motion. It is a formalism that combines the equations of motion of a system with a specific function called the Hamiltonian, which represents the total energy of the system. It is widely used in physics and engineering to analyze and model the behavior of complex physical systems.
What has the author G A Sardanashvili written?
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)
Why Hamilton's equations are called canonical equations?
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.
What is the proper adjective for Hamilton?
Hamiltonian is the proper adjective for Hamilton. For instance: The Hamiltonian view on the structure of government was much different from that of Jefferson.
What is Hamiltonian function?
The total energy of the system simply described in classical mechanics called as Hamiltonian.
What is a hamiltonian path in a graph?
A Hamiltonian path in a graph is a path that visits every vertex exactly once. It does not need to visit every edge, only every vertex. If a Hamiltonian path exists in a graph, the graph is called a Hamiltonian graph.
What is the meaning of Hc in an Hamiltonian?
In the context of a Hamiltonian, Hc typically refers to the complex conjugate of the Hamiltonian operator. Taking the complex conjugate of the Hamiltonian operator is often done when dealing with quantum mechanical systems to ensure that physical observables are real-valued.
What has the author A Ciampi written?
A. Ciampi has written: 'Classical hamiltonian linear systems' -- subject(s): Dynamics, Hamiltonian systems
Was John Q Adams a Hamiltonian?
no
What has the author Amadeu Delshams written?
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
Is momentum hamiltonian operator is hermitian operator?
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.
Hamiltonian vision of the new nation?
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.
