ask Liviu Chibutaru
In mathematics and physics, H.c. means Hermitian conjugate. In a Hamiltonian in general, it is used to indicate that besides the previous terms you also have the Hermitian conjugate of those.
It depends on the hamiltonian but it would be of the form of a regular plane wave.
Bacteria derive nutrients through means such as decomposition of organic matters, photosynthesis, and fixing of inorganic compounds (e.g nitrogen)
For help with solving quantum mechanics homework problems Google "physics forums". Providing an answer to this question will yield no value to the community and the answer so long that I would have spend a too long writing it. To help you get started; use the corresponding normalized |psi> (Dirac notation), build the Hamiltonian for the SHO then find the expectation value of the Hamiltonian.
When dealing with certain quantum systems, an absolutely quantitative and accurate description of the system is impossible and requires physicists and chemists to make approximations. For example, one may calculate the Hamiltonian of a single hydrogen atom or a molecule of diatomic helium with a single electron (after invoking the Born-Oppenheimer Approximation of course), but cannot solve a multi-electron problem such as benzene. Although we cannot calculate the Hamiltonian for benzene, we can approximate it and receive an answer which is very close (and according to the Variation Principal, higher than) the actual energy (Hamiltonian). One way that computational chemists do this is by using variational approximations. One of these which is most popular is the Hartree-Fock method. Here, chemists say that there exists a ground state wavefunction which describes the benzene system that may be approximated by a single Slater Determinant. We chose a candidate wavefunction which we think suits the system (think e^ikx for SHOs) and which depends on a set of parameters. We then calculate the Hamiltonian for sets of parameters and find the lowest energy. This is a gross oversimplification, but the idea holds. A simpler way to think about this would be: "What is the shape of a rope tied to a bucket of water?" We could answer this question by starting with an equation for the rope in 2 dimensions, calculate the potential energy of the bucket as the rope changes coordinates, and eventually find that it's potential energy is minimized when the rope extends completely along the y axis. Variational approximations work quite the same way for quantum systems where, due to the entangled nature of quantized particles (such as fermions or bosons) we cannot derive an exact answer.
Hamiltonian equations are a representation of Hamiltonian mechanics. Please see the link.
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
Hamiltonian ideas generally referred to the political beliefs and policies advocated by Founding Father Alexander Hamilton. These ideas included a strong central government, support for a national bank, an industrial economy, and close ties with Great Britain. Hamilton also promoted a loose interpretation of the Constitution to allow for more federal power.
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.
In mathematics and physics, H.c. means Hermitian conjugate. In a Hamiltonian in general, it is used to indicate that besides the previous terms you also have the Hermitian conjugate of those.
In an Euler circuit we go through the whole circuit without picking the pencil up. In doing so, the edges can never be repeated but vertices may repeat. In a Hamiltonian circuit the vertices and edges both can not repeat. So Avery Hamiltonain circuit is also Eulerian but it is not necessary that every euler is also Hamiltonian.