Constrained quantum dynamics
نویسندگان
چکیده
منابع مشابه
Constrained Dynamics for Quantum Mechanics I
We analyze constrained quantum systems where the dynamics do not preserve the constraints. This is done in particular for the restriction of a quantum particle in R to a curved submanifold, and we propose a method of constraining and dynamics adjustment which produces the right Hamiltonian on the submanifold when tested on known examples. This method will be the germ of a “Dirac algorithm for q...
متن کامل{ 1 { Constrained Dynamics for Quantum Mechanics I
We analyze constrained quantum systems where the dynamics do not preserve the constraints. This is done in particular for the restriction of a quantum particle in R n to a curved submanifold, and we propose a method of constraining and dynamics adjustment which produces the right Hamiltonian on the submanifold when tested on known examples. This method will be the germ of a \Dirac algorithm for...
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We consider the time dependent Schrödinger equation on a Riemannian manifold A with a potential that localizes a certain class of states close to a fixed submanifold C, the constraint manifold. When we scale the potential in the directions normal to C by a parameter ε 1, the solutions concentrate in an ε-neighborhood of the submanifold. We derive an effective Schrödinger equation on the submani...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2009
ISSN: 1742-6596
DOI: 10.1088/1742-6596/174/1/012025