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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...
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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Published on: June 8, 2018

The density matrix renormalization group in quantum chemistry.

Garnet Kin-Lic Chan1, Sandeep Sharma

  • 1Department of Chemistry and Chemical Biology, Cornell University, Ithaca, New York 14853-1301, USA. gc238@cornell.edu

Annual Review of Physical Chemistry
|January 12, 2011
PubMed
Summary
This summary is machine-generated.

The density matrix renormalization group (DMRG) method effectively describes molecules with strongly correlated electrons. This overview covers challenges, DMRG methodology, applications, and future directions in molecular science.

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Area of Science:

  • Quantum Chemistry
  • Computational Physics

Background:

  • Strong electron correlation poses significant challenges in accurately describing molecular systems.
  • Traditional quantum chemistry methods often struggle with the complexity of strongly correlated electronic structures.

Purpose of the Study:

  • To provide a pedagogical overview of the density matrix renormalization group (DMRG) method.
  • To explain the fundamental challenges of strong correlation in molecules.
  • To survey current and potential future applications of DMRG in molecular science.

Main Methods:

  • The Density Matrix Renormalization Group (DMRG) is a powerful numerical technique.
  • This work offers a conceptual explanation of the DMRG algorithm.
  • The study reviews DMRG's application to various molecular electronic structure problems.

Main Results:

  • DMRG is a key method for tackling strongly correlated electron systems in molecules.
  • The overview details the core principles and operational aspects of DMRG.
  • Existing applications demonstrate DMRG's utility and versatility in computational chemistry.

Conclusions:

  • The density matrix renormalization group (DMRG) is essential for understanding strongly correlated molecules.
  • Further development of DMRG promises advancements in computational molecular science.
  • This pedagogical review serves as a guide to DMRG's capabilities and future potential.