hamiltonian function
21Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… …
22Periodic function — Not to be confused with periodic mapping, a mapping whose nth iterate is the identity (see periodic point). In mathematics, a periodic function is a function that repeats its values in regular intervals or periods. The most important examples are …
23Green's function — In mathematics, Green s function is a type of function used to solve inhomogeneous differential equations subject to boundary conditions. The term is used in physics, specifically in quantum field theory and statistical field theory, to refer to… …
24Wave function collapse — Quantum mechanics Uncertainty principle …
25Chebyshev function — The Chebyshev function ψ(x), with x < 50 The function ψ( …
26Explicit formulae (L-function) — In mathematics, the explicit formulae for L functions are a class of summation formulae, expressing sums taken over the complex number zeroes of a given L function, typically in terms of quantities studied by number theory by use of the theory of …
271s Slater-type function — A normalized 1s Slater type function is a function which has the form:psi {1s}(zeta, mathbf{r R}) = left(frac{zeta^3}{pi} ight)^{1 over 2} , e^{ zeta |mathbf{r R}. [cite book last = Attila Szabo and Neil S. Ostlund first = title = Modern Quantum… …
28Generating function (physics) — Generating functions which arise in Hamiltonian mechanics are quite different from generating functions in mathematics. In the case of physics, generating functions act as a bridge between two sets of canonical variables when performing canonical …
29Classical Hamiltonian quaternions — For the history of quaternions see:history of quaternions For a more general treatment of quaternions see:quaternions William Rowan Hamilton invented quaternions, a mathematical entity in 1843. This article describes Hamilton s original treatment …
30Symplectomorphism — In mathematics, a symplectomorphism is an isomorphism in the category of symplectic manifolds. Formal definitionSpecifically, let ( M 1, omega;1) and ( M 2, omega;2) be symplectic manifolds. A map : f : M 1 rarr; M 2 is a symplectomorphism if it… …
