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What are Hamiltonian equations?
Hamiltonian equations are a representation of Hamiltonian mechanics. Please see the link.
How can the Lagrangian of a system be transformed into its corresponding Hamiltonian?
To transform the Lagrangian of a system into its corresponding Hamiltonian, you can use a mathematical process called the Legendre transformation. This involves taking the partial derivative of the Lagrangian with respect to the generalized velocities and then substituting these derivatives into the Hamiltonian equation. The resulting Hamiltonian function represents the total energy of the system in terms of the generalized coordinates and momenta.
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.
How can the Hamiltonian path be reduced to a Hamiltonian cycle?
To reduce a Hamiltonian path to a Hamiltonian cycle, you need to connect the endpoints of the path to create a closed loop. This ensures that every vertex is visited exactly once, forming a cycle.
How can the Hamiltonian cycle be reduced to a Hamiltonian path?
To reduce a Hamiltonian cycle to a Hamiltonian path, you can remove one edge from the cycle. This creates a path that visits every vertex exactly once, but does not form a closed loop like a cycle.
When is the Hamiltonian conserved in a dynamical system?
The Hamiltonian is conserved in a dynamical system when the system is time-invariant, meaning the Hamiltonian function remains constant over time.
What is Hamiltonian function?
The total energy of the system simply described in classical mechanics called as Hamiltonian.
How can the Hamiltonian be derived from the Lagrangian in classical mechanics?
In classical mechanics, the Hamiltonian can be derived from the Lagrangian using a mathematical process called the Legendre transformation. This transformation involves taking the partial derivatives of the Lagrangian with respect to the generalized velocities to obtain the conjugate momenta, which are then used to construct the Hamiltonian function. The Hamiltonian represents the total energy of a system and is a key concept in Hamiltonian mechanics.
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
