Transport and Non-Equilibrium Dynamics in Optical Lattices
... increase exponentially with the number of involved particles. This applies in particular e.g. to simulating the dynamics of interacting quantum systems, whose properties can not be reduced to the properties of individual particles. As nowadays, both classical and quantum computation fail in many res ...
... increase exponentially with the number of involved particles. This applies in particular e.g. to simulating the dynamics of interacting quantum systems, whose properties can not be reduced to the properties of individual particles. As nowadays, both classical and quantum computation fail in many res ...
Conductivity and magnetoresistance of a periodic composite by network discretization
... viewed as a function of the ratio e 1 / e 2 of the constituent dielectric functions.9 In this paper, we describe a simple alternative scheme for treating such composites, which focuses attention on a single unit cell in real space. The scheme, a natural outgrowth of the method described in Ref. 15, ...
... viewed as a function of the ratio e 1 / e 2 of the constituent dielectric functions.9 In this paper, we describe a simple alternative scheme for treating such composites, which focuses attention on a single unit cell in real space. The scheme, a natural outgrowth of the method described in Ref. 15, ...
here.
... is not available to us. However, a clever argument of Einstein (1916) relates the spontaneous emission rate to the stimulated emission rate, which we can calculate. See Liboff or Griffiths for more details. • Suppose we have a box of atoms in thermal equilibrium with EM radiation at temperature T . ...
... is not available to us. However, a clever argument of Einstein (1916) relates the spontaneous emission rate to the stimulated emission rate, which we can calculate. See Liboff or Griffiths for more details. • Suppose we have a box of atoms in thermal equilibrium with EM radiation at temperature T . ...
Partial differential equation
In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives. (A special case are ordinary differential equations (ODEs), which deal with functions of a single variable and their derivatives.) PDEs are used to formulate problems involving functions of several variables, and are either solved by hand, or used to create a relevant computer model.PDEs can be used to describe a wide variety of phenomena such as sound, heat, electrostatics, electrodynamics, fluid flow, elasticity, or quantum mechanics. These seemingly distinct physical phenomena can be formalised similarly in terms of PDEs. Just as ordinary differential equations often model one-dimensional dynamical systems, partial differential equations often model multidimensional systems. PDEs find their generalisation in stochastic partial differential equations.