Thursday, October 29, 2015
Some Explanation As To A Specific Example Of The Slater Equation
The Slater Equation works to help show the mean Lagrangian path, that may be translated through a Hamiltonian operand. Electromagnetic energy, namely light, moves in such a manner, in so that it works to have a tendency of "trying" to move in as close to a straight path as it may be able to do -- given the environment in which such quantized photons that move as a group, may be able to work, in so as to bring such an account into an optimum manner. Let me explain now, what the Slater Equation works to entail.: Take the given arbitrary genus of a Jacobian, that may be termed of, in general, as a Hamiltonian. A Hamiltonian is a specific general case of a Jacobian, in which the states of what may be termed of here as the partial fractals as to what may be thought of as the eigenbase of a tense of a substringular momentum, are listed -- to where there will here be the condition of a physical bearing of more rows than columns listed, that are to be listed. In one manner or another -- given the requirements of the arbitrary situation -- work to convert the Jacobian of such a case, being then here a conversion of the so-inferred Hamiltonian, into a determinant-based substrate, for the so-eluded-to eigenbase of the said Hamiltonian -- in so as to help to form a basis for solving for a set of what may be termed of here as multiplets. This general condition -- of any of such respective given arbitrary multiplets, will then be multiplied by (1/(2^.5)), or, these so-stated multiplets will be multiplied by the sine (or the cosine in this case) of 45 degrees. This so-mentioned math will here work to indicate, or give some sort of explanation, as to what the mean path of a certain given arbitrary phenomenon is to make, as such a phenomenology is to be translated as an integration of a sequential series of successive Laplacian-based states, over time. Since light has a tendency to "try" to move in a straight line -- light or electromagnetic energy (light is the most commonly thought of form of electromagnetic energy) will then tend to try to move, in what may be termed of as its here relatively mean path. So, there is a general genus of the Slater Equation -- in which one may be able to work to determine those eigenmembers, in so as to work to help determine how to be able to map-out the cohomological tracing -- of the physical path of any certain respective given arbitrary beam of electromagnetic energy, that may be in question in any such a case. I will continue with the suspense later! To Be Continued! Sam Roach.
Posted by
samsphysicsworld
at
10:28 AM
Labels:
cohomology,
eigenmembers,
Hamiltonian,
Lagrangian,
Laplacian,
light,
photons
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