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...

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

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

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

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

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

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...

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

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...

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

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...

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

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

Quantum optics is a branch of atomic, molecular, and optical physics and quantum chemistry that studies the behavior of photons (individual quanta of light)...

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...

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...

computation into a slow continuous transformation of an initial Hamiltonian into a final Hamiltonian, whose ground states contain the solution. Neuromorphic quantum...

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...

its physical implications. William Rowan Hamilton, in his work on Hamiltonian optics, discovered the wavevector surface has four conoidal points and four...

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

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

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

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

ISSN 1934-4791. F.H.M. Faisal, Theory of Multiphoton Processes, Plenum (New York) 1987 ISBN 0-306-42317-0. Quantum optics Hamiltonian (quantum mechanics)...

Press. ISBN 0521115191. Buchdahl, H. A. (1993). An Introduction to Hamiltonian Optics. Courier Dover Publications. ISBN 978-0-486-67597-8. Retrieved 10...

assume that the Hamiltonian is constant with respect to time. The main strategy in solving this problem is to transform the Hamiltonian so that the time...

numerous major contributions to abstract algebra, classical mechanics, and optics. His theoretical works and mathematical equations are considered fundamental...

mechanical objects on low-energy scales. It is a cross field of optics, quantum optics, solid-state physics and materials science. The motivation for research...