N -body gravity and the Schrödinger equation

Reduced system dynamics from the N-body Schrödinger equation.

We argue that the ”reduced wave function”, proposed recently [Phys.Rev.Lett. 75, 2255 (1995)], contains conditional and restricted information on the reduced system. The concept of ”reduced wave function” can thus not represent a relevant alternative to the common reduced dynamics methods. PACS numbers: 3.65.Db, 42.50.Lc

Quantum Lattice-gas Models for the Many-body Schrödinger Equation *

A general class of discrete unitary models are described whose behavior in the continuum limit corresponds to a many-body Schrödinger equation. On a quantum computer , these models could be used to simulate quantum many-body systems with an exponential speedup over analogous simulations on classical computers. On a classical computer, these models give an explicitly unitary and local prescripti...

The Tree { Particle { Mesh N - body Gravity

The Tree-Particle-Mesh (TPM) N-body algorithm couples the tree algorithm for directly computing forces on particles in an hierarchical grouping scheme with the extremely eecient mesh based PM structured approach. The combined TPM algorithm takes advantage of the fact that gravitational forces are linear functions of the density eld. This allows the use of domain decomposition to break down the ...

Ja n 20 04 Schrödinger equation with critical Sobolev exponent

Invariance of the Schrödinger Equation

We study a model for quantum gravity on a circle in which the notion of a classical metric tensor is replaced by a quantum metric with an inhomogeneous transformation law under diffeomorphisms. This transformation law corresponds to the co–adjoint action of the Virasoro algebra, and resembles that of the connection in Yang–Mills theory. The transformation property is motivated by the diffeomorp...