Hamiltonian optics and Lagrangian optics are two formulations of geometrical optics which share much of the mathematical formalism with Hamiltonian mechanics...

series on optics and optoelectronics. CRC Press. p. 50. ISBN 978-0-85274-564-9. Buchdahl, H. A. (1993). An Introduction to Hamiltonian Optics. Dover. p...

physics, Hamiltonian mechanics is a reformulation of Lagrangian mechanics that emerged in 1833. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics...

motion, most notably Lagrangian and Hamiltonian mechanics; Geometric optics, especially Lagrangian and Hamiltonian optics; Variational method (quantum mechanics)...

Geometrical optics, or ray optics, is a model of optics that describes light propagation in terms of rays. The ray in geometrical optics is an abstraction...

interfaces in an analogous fashion to x-ray reflectivity. Geometric optics Hamiltonian optics Reflection coefficient Reflection (mathematics) Specular highlight...

based on Hamiltonian optics, the Hamiltonian formulation of geometrical optics which shares much of the mathematical formulation with Hamiltonian mechanics...

in different contexts, such as from optical first principles, from Hamiltonian optics or from the second law of thermodynamics.[page needed] From the perspective...

mechanics Hamiltonian optics Hamiltonian principle, see Hamilton's principle Hamiltonian system Hamiltonian vector field In mathematics: Hamiltonian path,...

energy is zeroPages displaying short descriptions of redirect targets Hamiltonian optics List of refractive indices N-slit interferometric equation Reflection...

extensively used in nonimaging optics, the branch of optics devoted to illumination. It is also an important concept in Hamiltonian optics. In medicine and bioengineering...

his paper published in December 1926 is titled "The Hamiltonian analogy between mechanics and optics". Section 1 of the first of his four lectures on wave...

refractive index (e.g., air). Air mass (astronomy) Lagrangian optics Hamiltonian optics Fermat's principle Optical depth  This article incorporates public...

variations Functional derivative Generalized coordinates Hamiltonian mechanics Hamiltonian optics Inverse problem for Lagrangian mechanics, the general topic...

Dupin in 1822. Hamilton proved it as a simple application of his Hamiltonian optics method. Consider a pencil of light rays in a homogenous medium that...

coordinates Functional derivative Generalized coordinates Hamiltonian mechanics Hamiltonian optics Lagrangian analysis (applications of Lagrangian mechanics)...

a unitary transformation of the orthonormal basis in which both the Hamiltonian and the state are represented. The eigenvalues do not change under such...

the path, yields the OPL; it is the foundation of Lagrangian and Hamiltonian optics. If a ray follows a straight line, it obviously takes the path of...

theoretical physics, particularly his reformulation of Newtonian mechanics. Hamiltonian mechanics including its Hamilitonian function are now central both to...

development of analytical mechanics (which includes Lagrangian mechanics and Hamiltonian mechanics). These advances, made predominantly in the 18th and 19th centuries...

the light rays) is commonly described in terms of phase space and Hamiltonian optics. Extracting appropriate 2D slices from the 4D light field of a scene...

given by a Hamiltonian operator acting upon the wave function. Including influences upon the particle requires modifying the Hamiltonian operator. For...

diagonalize Hamiltonians, with a corresponding transformation of the state function. Operator eigenvalues calculated with the diagonalized Hamiltonian on the...

quantum-mechanical systems for which an exact, analytical solution is known. The Hamiltonian of the particle is: H ^ = p ^ 2 2 m + 1 2 k x ^ 2 = p ^ 2 2 m + 1 2 m...

non-Hermitian quantum mechanics describes quantum mechanical systems where Hamiltonians are not Hermitian. The first paper that has "non-Hermitian quantum mechanics"...

In quantum optics, the Jaynes–Cummings model (sometimes abbreviated JCM) is a theoretical model that describes the system of a two-level atom interacting...

with this systems are 2 × 2 Hermitian matrices, which means that the Hamiltonian of the system is also a similar matrix. One can construct an oscillation...

laws of motion. It also includes the classical approach as given by Hamiltonian and Lagrange methods. It deals with the motion of particles and the general...

b\}=ab+ba} is the anticommutator. H {\displaystyle H} is the system Hamiltonian, describing the unitary aspects of the dynamics. { L i } i {\displaystyle...

crystals), rather than conoidal. William Rowan Hamilton, in his work on Hamiltonian optics, discovered the wavevector surface has four conoidal points and four...