The special theory of relativity as applied to the Born–Oppenheimer–Huang approach

@article{Baer2017TheST,
  title={The special theory of relativity as applied to the Born–Oppenheimer–Huang approach},
  author={Michael Baer},
  journal={Molecular Physics},
  year={2017},
  volume={115},
  pages={1534 - 1543}
}
  • M. Baer
  • Published 4 March 2017
  • Physics
  • Molecular Physics
ABSTRACT In two recent publications (Int. J. Quant. Chem. 114, 1645 (2014) and Mole. Phys. 114, 227 (2016)) it was shown that the Born–Hwang (BH) treatment of a molecular system perturbed by an external field yields a set of decoupled vectorial wave equations, just like in electro-magnetism. This finding led us to declare on the existence of a new type of Fields, which were termed Molecular Fields. The fact that such fields exist implies that at the vicinity of conical intersections exist a… 
2 Citations

Introducing time-dependent molecular fields: a new derivation of the wave equations

Abstract This article is part of a series of articles trying to establish the concept molecular field. The theory that induced us to introduce this novel concept is based on the Born-Huang expansion

Curriculum vitae

1955–1961, Undergraduate: Hebrew University of Jerusalem; Major: Physics; Degree: M.Sc., Mathematics; Degree: B.Sc.+ (Enhanced Curriculum), Statistics, Degree: B.Sc. 1966–1969, Graduate studies at

References

SHOWING 1-10 OF 89 REFERENCES

A field theoretical approach to calculate electronic Born-Oppenheimer coupling terms.

In this paper we suggest to consider the spatial distribution of the Born-Oppenheimer nonadiabatic coupling terms as fields which are created by sources, located at degeneracy points, and which can

Space-time contours to treat intense field-dressed molecular states.

An approach is discussed that yields an efficient and reliable approximation that is tested in detail for the dissociation process of H(2) (+) as caused by a laser field and results in a formidable enhancement in numerical efforts.

Time-dependent molecular fields created by the interaction of an external electro-magnetic field with a molecular system: the derivation of the wave equations

ABSTRACT This article continues a previous study (Int. J. Quantum Chem. 114, 1645 (2014)) in which is presented a theory that discusses the possibility to induce a novel field – to be called

Space-time contours to treat intense field-dressed molecular states. I. Theory.

The authors discuss a rigorous way, based on the recently introduced space-time contours, to form N coupled Schrodinger equations where N<L, which maintains the effects due to the remaining (L-N) populated states.

Born−Oppenheimer Time-Dependent Systems: Perturbative vs Nonperturbative Diabatization

In this article a time-dependent molecular system is considered. The theoretical treatment is characterized by the fact that here, for the first time, the adiabatic framework is assumed to contain

Space-time contours to treat intense field-dressed molecular states. II. Applications.

It is shown, numerically, that the N<L case, in general, does not lead to field-dressed diabatic potentials which are single valued, and it is implied that in most cases the perturbative approach is not reliable.

Time-Dependent Molecular Fields Created by the Interaction of an External Electromagnetic Field with a Molecular System

When an external, time-dependent field interacts with a molecular system various phenomena may take place. However, concentrating on a region close enough to a point of conical intersection, we find

Space-time contours to treat the interaction between an intense electric field and a molecular system.

  • M. Baer
  • Physics
    The journal of physical chemistry. A
  • 2006
This article analyzes the newly introduced nonadiabatic coupling term and discusses its importance for dynamical studies, and refers to the just mentioned space-time contour and presents the more efficient contour for realistic situations.

Vibronic interactions in molecules and crystals

Vibronic interaction effects constitute a new field of investigation in the physics and chemistry of molecules and crystals that combines all the phenomena and laws originating from the mixing of
...