Hamiltonian constraint information

The Hamiltonian constraint arises from any theory that admits a Hamiltonian formulation and is reparametrisation-invariant. The Hamiltonian constraint of...

constraint has yet to be found. A plausible candidate for the quantum Hamiltonian constraint is the operator introduced by Thiemann. The constraints define...

first class constraint is a dynamical quantity in a constrained Hamiltonian system whose Poisson bracket with all the other constraints vanishes on the...

time-evolutions of fields are controlled by the Hamiltonian constraint. The identity of the Hamiltonian constraint is a major open question in quantum gravity...

mechanical constraints: First class constraint and second class constraint in Hamiltonian mechanics Primary constraint, secondary constraint, etc. in Hamiltonian...

radical. The first class constraints of general relativity are the spatial diffeomorphism constraint and the Hamiltonian constraint (also known as the Wheeler–De...

moreover requires the Hamiltonian constraint to vanish. In quantized general relativity, the quantum version of the Hamiltonian constraint using metric variables...

quaternions) In physics: Hamiltonian constraint Hamiltonian fluid mechanics Hamiltonian operator, see Hamiltonian (quantum mechanics) Hamiltonian lattice gauge theory...

relativity. Also the Hamiltonian constraint Ashtekar worked with was the densitized version, instead of the original Hamiltonian; that is, he worked with...

over to the Hamiltonian formalism, we can really forget about the distinction between primary and secondary constraints. In Hamiltonian mechanics, a...

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

manifold Liouville's theorem (Hamiltonian) Poisson bracket Poisson algebra Poisson manifold Antibracket algebra Hamiltonian constraint Moment map Contact geometry...

P^{i}=-2\pi ^{ij}{}_{;j},} which are known as the Hamiltonian constraint and the momentum constraint respectively. The lapse and the shift appear in the...

Diffeomorphism constraints, whose solution is the space spanned by the spin network basis. The problem is to define the Hamiltonian constraint as a self-adjoint...

Constraint satisfaction problems (CSPs) are mathematical questions defined as a set of objects whose state must satisfy a number of constraints or limitations...

matter physics. It mostly studies constraint satisfaction problems related to ground states of local Hamiltonians; that is, Hermitian matrices that act...

developed by Paul Dirac to treat classical systems with second class constraints in Hamiltonian mechanics, and to thus allow them to undergo canonical quantization...

minimum, or saddle) throughout the time evolution of the system. This constraint allows the calculation of the equations of motion of the system using...

corresponding to the constraints. In the Lagrangian and Hamiltonian formalisms, the constraints are incorporated into the motion's geometry, reducing the...

variable which relates directly with matter and moreover requires the Hamiltonian constraint to vanish. Because this variability of time has been observed macroscopically...

of Hamiltonian mechanics involving multiple Hamiltonians. Recall that Hamiltonian mechanics is based upon the flows generated by a smooth Hamiltonian over...

finding the local maxima and minima of a function subject to equation constraints (i.e., subject to the condition that one or more equations have to be...

throughout the motion, imposing in effect a constraint on the motion. However, it is a mathematical constraint, the natural consequence of the equations...

rheonomous if its equations of constraints contain the time as an explicit variable. Such constraints are called rheonomic constraints. The opposite of rheonomous...

universal adiabatic quantum computation. k-local Hamiltonians problems are analogous to classical Constraint Satisfaction Problems. The following table illustrates...

road), find a Hamiltonian cycle with the least weight. This is more general than the Hamiltonian path problem, which only asks if a Hamiltonian path (or cycle)...

insulator) satisfying the symmetry constraints of the group. In the case of d > 0 {\displaystyle d>0} dimensions, this Hamiltonian is a continuous function H...