# Quantum Foundations

**Readings of Interest**

The main ArXiv papers may be download from the
website of the

A.Orefice, R.Giovanelli, D.Ditto

A.Orefice, R.Giovanelli, D.Ditto

A.Orefice, R.Giovanelli, D.Ditto

A.Orefice, R.Giovanelli, D.Ditto

A.Orefice, R.Giovanelli, D.Ditto

A.Orefice, R.Giovanelli, D.Ditto

A.Orefice, R.Giovanelli, D.Ditto

A.Orefice, R.Giovanelli, D.Ditto

A.Orefice, R.Giovanelli, D.Ditto

__Cornell University Library__at the**Link****Main ArXiv publications**

**arXiv:1506.08016**

*Is Wave Mechanics consistent with Classical Logic?*

A.Orefice, R.Giovanelli, D.Ditto

*[v1] fre, 26 Jun.*

**2015****arXiv:1406.4968**

*From Classical to Wave-Mechanical Dynamics*

A.Orefice, R.Giovanelli, D.Ditto

*[v3] wed, 14 Jan.*

**2015****arXiv:1310.8077**

*Objective Reality of de Broglie's Waves*

A.Orefice, R.Giovanelli, D.Ditto

*[v7] Sat, 22 Mar*

**2014****arXiv:1302.4247**

*Wave Mechanics without Probability*

A.Orefice, R.Giovanelli, D.Ditto

*[v7] Thu, 22 Aug*

**2013****arXiv:1207.0130**

*The Helmholtz Wave Potential: a non-probabilistic insight into Wave Mechanics*

A.Orefice, R.Giovanelli, D.Ditto

*[v8] Tue, 16 Apr*

**2013****arXiv:1202.6225**

*Quantum trajectories and Cushing's historical contingency*

A.Orefice, R.Giovanelli, D.Ditto

*[v2] Tue, 16 Oct*

**2012****arXiv:1105.4973**

*Helmholtz wave trajectories in classical and quantum physics*

A.Orefice, R.Giovanelli, D.Ditto

*[v3] Sat, 29 Oct*

**2011****arXiv:0706.3102**

*Complete Hamiltonian description of wave-like features in classical and quantum physics*

A.Orefice, R.Giovanelli, D.Ditto

*[v5] Tue, 16 Sep*

**2008****arXiv:0705.4049**

*Beyond Geometrical Optics and Bohmian Physics: A New Exact and Deterministic Hamiltonian Approach to Wave-Like Features in Classical and Quantum Physics*

A.Orefice, R.Giovanelli, D.Ditto

*[v1] Mon, 28 May*

**2007****Main Topics**

**Wave Mechanics**

The behavior of classical and quantum wave beams in time independent media may be shown to be ruled by a

**wave potential**function encoded in

*Helmholtz-like equations*, determined by the structure itself of the beam and taking, in the case of

*Schrödinger's time independent equation*, the form of

*Bohm's quantum potential*- which is therefore not so much a

*quantum*as a

*wave*property.

Deterministic motion laws,

**entangled**by this term, may be obtained and treated in terms of well defined Hamiltonian trajectories, and reduce to the laws of usual geometrical optics and/or classical dynamics when this term is neglected.

**Present status**

Deterministic motion laws and trajectories, holding for monochromatic wave beams traveling through a time independent medium, were shown to be provided, both in classical and quantum cases, by a Hamiltonian set of equations ruled by a wave potential due to the structure itself of Helmholtz-like equations (including Schrödinger's equation) and to the beam amplitude distribution.

Diffraction and/or interference are described by direct numerical integration of these Hamiltonian equations. The dispersive character of the wave potential is the basic reason for the adoption of a monochromatic beam, since only in this case the concept of "trajectory" has a definite meaning.. [ see arXiv:1506.08016].

**International Collaborations**

A synergy was established in 2009 with the Grup d'Òptica of the Universitat Autònoma de Barcelona (UAB) (Spain) on the subject of Bohm's realistic approach to Quantum Physics which led to write the book

**Applied Bohmian Mechanics: from Nanoscale Systems to Cosmology (Pan Stanford Publishing, 2012)**

Last Update

**10.12.2015**

**Main Publications**

**International Reviews with IF**

**Contribution in Volume**

**A. Orefice, R. Giovanelli and D. Ditto**

Chapter 7: Beyond the Eikonal Approximation in Classical Optics and Quantum Physics

in Applied Bohmian Mechanics - From Nanoscale Systems to Cosmology

by Xavier Oriols and Jordi Mompart

Pan Stanford Publishing, 2012. ISBN: 9789814316392