the Hamiltonian equation

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• Hamiltonian mechanics — is a re formulation of classical mechanics that was introduced in 1833 by Irish mathematician William Rowan Hamilton. It arose from Lagrangian mechanics, a previous re formulation of classical mechanics introduced by Joseph Louis Lagrange in 1788 …   Wikipedia

• Hamiltonian (control theory) — The Hamiltonian of optimal control theory was developed by L. S. Pontryagin as part of his minimum principle. It was inspired by, but is distinct from, the Hamiltonian of classical mechanics. Pontryagin proved that a necessary condition for… …   Wikipedia

• Hamiltonian fluid mechanics — is the application of Hamiltonian methods to fluid mechanics. This formalism can only apply to nondissipative fluids.Irrotational barotropic flowTake the simple example of a barotropic, inviscid vorticity free fluid.Then, the conjugate fields are …   Wikipedia

• The Feynman Lectures on Physics — by Richard Feynman, Robert Leighton, and Matthew Sands is perhaps Feynman s most accessible technical work and is considered a classic introduction to modern physics. It includes lectures on mathematics, electromagnetism, Newtonian physics,… …   Wikipedia

• Hamiltonian (quantum mechanics) — In quantum mechanics, the Hamiltonian H is the observable corresponding to the total energy of the system. As with all observables, the spectrum of the Hamiltonian is the set of possible outcomes when one measures the total energy of a system.… …   Wikipedia

• Hamiltonian — may refer toIn mathematics : * Hamiltonian system * Hamiltonian path, in graph theory * Hamiltonian group, in group theory * Hamiltonian (control theory) * Hamiltonian matrix * Hamiltonian flow * Hamiltonian vector field * Hamiltonian numbers (or …   Wikipedia

• Lippmann-Schwinger equation — The Lippmann Schwinger equation (named after Bernard A. Lippmann and Julian Schwinger) is of importance to scattering theory. The equation is: | psi^{(pm)} angle = | phi angle + frac{1}{E H 0 pm i epsilon} V |psi^{(pm)} angle. ,DerivationWe will… …   Wikipedia

• Breit equation — The Breit equation is a relativistic wave equation derived by Gregory Breit in 1929 based on the Dirac equation, which formally describes two or more massive spin 1/2 particles (electrons, for example) interacting electromagnetically to the first …   Wikipedia

• Pauli equation — The Pauli Equation, also known as the Schrödinger Pauli equation, is the formulation of the Schrödinger equation for spin one half particles which takes into account the interaction of the particle s spin with the electromagnetic field. It is the …   Wikipedia

• Hamiltonian system — In classical mechanics, a Hamiltonian system is a physical system in which forces are velocity invariant. Hamiltonian systems are studied in Hamiltonian mechanics. In mathematics, a Hamiltonian system is a system of differential equations which… …   Wikipedia

• Ishimori equation — The Ishimori equation (IE) is a partial differential equation proposed by the Japanese mathematician harvtxt|Y. Ishimori|1984. Its interest is as the first example of a nonlinear spin one field model in the plane that is integrable… …   Wikipedia