On Matrix Schrödinger Unitary Groups in Particular Representations of Finite Dimensional Quantum Dynamical Systems

Details On Matrix Schrödinger Unitary Groups in Particular Representations of Finite Dimensional Quantum Dynamical Systems On Matrix Schrödinger Unitary Groups in Particular Representations of Finite Dimensional Quantum Dynamical Systems

2011-02-22

arxiv.org/abs/1102.4391v4

Mathematics

Quantum Algebra

10 pages, 1 figure

Scientific paper

In this paper we study some particular types of matrix Schr\"odinger semigroups of the form $\exp(-it\mathbb{H})$ where $\mathbb{H}\in M_N(\mathbf{C})$ is the Hamiltonian of a given quantum dynamical system modeled in the finite dimensional Hilbert space $\mathcal{H}$. Once we have defined a particular matrix Schr\"odinger unitary group we perform some estimates for its approximation and its corresponding implementation in the numerical solution of the finite dimensional Schr\"odinger evolution equation to that it is related.

Affiliated with

Also associated with

No associations

Rating

On Matrix Schrödinger Unitary Groups in Particular Representations of Finite Dimensional Quantum Dynamical Systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Matrix Schrödinger Unitary Groups in Particular Representations of Finite Dimensional Quantum Dynamical Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Matrix Schrödinger Unitary Groups in Particular Representations of Finite Dimensional Quantum Dynamical Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-557801