Chemical Bond, De Broglie Waves and Bond Multiplicity.

Georges Lochak

Volodymyr Bezverkhniy

Marcin Molski

M. PUTZ

New concept of quantum chemistry, namely chemical bonding field , is introduced in the context of Bohmian treatment of Schrödinger equation with u(1) nonlocal gauge transformation of the de Broglie wavefunction

A. Komjáthy

Murray Gerstenhaber

De Broglie waves may be a reflection of a deformation inherent in the path algebra of phase space. On a Riemannian manifold equipped with a suitable 2-form, the product of paths, which is ordinarily their concatenation, can be deformed by multiplication by a scalar weight giving rise to a function on paths. In flat phase space the associated function is periodic with period the de Broglie wave length. The de Broglie description may only be approximate in curved space.