- Look up
Hamiltonian in Wiktionary, the free dictionary.
Hamiltonian may
refer to:
Hamiltonian mechanics, a
function that
represents the
total energy of...
- An
important special case
consists of
those Hamiltonians that are
quadratic forms, that is,
Hamiltonians that can be
written as H ( q , p ) = 1 2 ⟨ p...
-
corresponding potentials; the
result is that the
Hamiltonian of the
system is the sum of the
separate Hamiltonians for each particle. This is an
idealized situation—in...
- A
Hamiltonian that is not
gapped is
called gapless. The
property of
being gapped or
gapless is
formally defined through a
sequence of
Hamiltonians on...
- theory, a
Hamiltonian path (or
traceable path) is a path in an
undirected or
directed graph that
visits each
vertex exactly once. A
Hamiltonian cycle (or...
- the
right hand side
represents the Lie
bracket of the
Hamiltonian vector fields with
Hamiltonians f and g. As a
consequence (a
proof at
Poisson bracket)...
-
general Hamiltonians seem to grow
exponentially with
respect to the
system size. In the
Hamiltonian simulation problem,
given a
Hamiltonian H {\displaystyle...
-
Hamiltonian optics and
Lagrangian optics are two
formulations of
geometrical optics which share much of the
mathematical formalism with
Hamiltonian mechanics...
- In mathematics, a
Hamiltonian matrix is a 2n-by-2n
matrix A such that JA is symmetric,
where J is the skew-symmetric
matrix J = [ 0 n I n − I n 0 n ]...
-
local Hamiltonians; that is,
Hermitian matrices that act
locally on a
system of interest. The
constraint satisfaction problems in
quantum Hamiltonian complexity...
