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In this paper we present a unified treatment of non-radiative decay processes in large molecules which involve either electronic relaxation between two electronic states or unimolecular rearrangement… (More)

- Robert Englman, Asher Yahalom
- Physical review. E, Statistical, nonlinear, and…
- 2004

A simple variational Lagrangian is proposed for the time development of an arbitrary density matrix, employing the "factorization" of the density. Only the "kinetic energy" appears in the Lagrangian.… (More)

Recently, Marzlin and Sanders (2004) demonstrated an inconsistency when the adiabatic approximation was applied to specific, ”inverse” time-evolving systems. Following that, Tong et al. (2005) showed… (More)

- Robert Englman, Israel May
- 2013

A physicist’s point of view is presented of some of the expectations of neurobiologists regarding the criteria for the brain’s structure, which the brain needs to optimize for its efficient… (More)

An extension is given for the standard two component model of adiabatic, Born-Oppenheimer (BO) electronic states in a polyatonic molecule, by use of Mathieu functions of arbitrary order. The curl or… (More)

The regimes of growing phases (for electron numbers N ≈ 1 − 8) that pass into regions of self-returning phases (for N > 8), found recently in quantum dot conductances by the Weizmann group are… (More)

- Erika Bene, Tamás Vértesi, Robert Englman
- The Journal of chemical physics
- 2011

Various ab initio computations, as, e.g., in G. J. Halász and Á. Vibók, Int. J. Quantum Chem. 111, 342 (2011), have shown that in molecules of the type (HCCH)(+), when the extremal H atoms are… (More)

We derive reciprocal integral relations between phases and amplitude moduli for a class of wave functions that are cyclically varying in time. The relations imply that changes of a certain kind (e.g.… (More)

- Robert Englman
- The Journal of chemical physics
- 2016

It is theoretically shown that the emission spectra from an excited Jahn-Teller state in which the ions undergo a forced periodic trajectory have an M-shaped form, directly due to the sign change by… (More)

- Robert Englman, Tamás Vértesi
- The Journal of chemical physics
- 2006

Bersuker and co-workers [Vibronic Interactions in Molecules and Crystals (Springer-Verlag, Berlin, 1989); Chem. Rev. 101, 1067 (2001); The Jahn-Teller Effect (Cambridge University Press, Cambridge,… (More)