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Annales de la fondation Louis de Broglie/Annales de la Fondation Louis de Broglie

The Dynamical de Broglie Theory

Nizar Hamdan

Published Jan 1, 2007• 1 citation
OpenAlex

Abstract

Nobody appears to have ever asked the question of how de Broglie's theroy (1) could be proven generally valid and developed from physical laws. Therefore, we will start from the classical Newton's second law (NSL) to rebuilt the therory of special relativity (SRT) (2). This enables us to derive de Broglie relations from NSL without any of the well-known contradictions between SRT and de Broglie's quantum wave..

Related papers

A Dynamic Approach to De Broglie's Theory

Nizar Hamdan

Einstein's relativity (SRT) [1], raised an important question: Do its laws apply to matter/energy or to the frame of reference containing it. In other words, is SRT a property characterizing matter/energy or is it an imposed dynamics as expressed by the Lorentz Transformation (LT). This article examines the subtle difference between the two. It proves that matter/energy is the fundamental reality, while the reference frame, although it exists, exerts no force. Therefore, we can start from Newton's second law (NSL) to rebuild SRT [2]. This will allow us to derive the de Broglie relations from NSL while circumventing the well-known contradictions between SRT and de Broglie's quantum wave theory.

•Jan 1, 2005•2 citations

Deduction of the De Broglie's relation λ=h/p from the classical electrodynamics

Nizar Hamdan, H. Aktaa

It is well known that De Broglie enables the use of the relativistic mechanics and –depending on a number of assumptions – to discover his relation λ=h/p, which led further to the creation of the theory of quantum mechanics (QM). However, after De Broglie's approach famous contradictions have appeared between De Broglie's theory and the Special Relativity Theory, also there were a number of suggestions in order to solve these contradictions. According to the suggested method in our papers it was remarked a serious part of the contradictions, and by following this method, we will present a new approach to derive the relation λ=h/p, starting from classical electrodynamics without any contradictions between Special Relativity Theory (SRT) and De Broglie's theory.

Latin American journal of physics education•Jan 1, 2008•0 citations

Quantum mechanical laws

Kenichi Konishi, Giampiero Paffuti

Abstract The experiment by Tonomura et al., discussed in Chapter 1 directly confirms the de Broglie relation (1.19). This leads us to define the state of a system, not in terms of simultaneous values of all canonical variables {p, q} as in classical mechanics, but as a sort of a wave.

•Mar 5, 2009•3 citations

Consistency of the de Broglie Relations with Special Relativity

P. C. Peters

American Journal of Physics•Jul 1, 1970•1 citation

Reflections on the Foundations of Quantum Mechanics

Alireza Jamali

In this paper the quantised version of Newton Second Law is derived assuming merely the existence of de Broglie matter-waves and their basic properties. At the same time we keep an eye towards interpretations of quantum mechanics and will realise that the two most different interpretations (Copenhagen interpretation and the de Broglie-Bohm theory) owe their difference to two fundamentally different approaches to `Harmonisation'. In this regard we shall see that the guiding equation of the de Broglie-Bohm theory currently found in literature is not the most complete equation possible; as a result we answer one of the important questions in interpreting quantum mechanics, namely that `when does the concept of classical path (trajectory) makes sense in quantum mechanics?' Moreover, in light of special-relativistic considerations we shall easily see that in the Number-Division approach, i.e. that of de Broglie-Bohm, the wave operator no longer appears, making it in turn impossible the application of Clifford algebras (Dirac's `square root' of the wave operator).

•Jan 1, 2020•0 citations

Some Comments on the Foundations of Physics

Per‐Olov Löwdin

This pedagogical monograph describes some of the fundamental views of the laws of physics. The derivations are, however, obtained from a rather unconventional point of view. The Lorentz transformations and the special theory of relativity are derived without mentioning the phenomenon of light, and the de Broglie relations in the wave-corpuscle parallelism are derived without the help of Planck's constant. By the use of Schrodinger's idea of quantization as an eigenvalue problem, the foundations of wave mechanics are discussed as a mathematical problem without reference to Planck's constant. Finally, the Kepler problem in the special theory of relativity is studied starting from the energy law, and the applications to the Hulse-Taylor binary pulsar indicate that more data about the unseen companion are needed before the interpretation of the present data may be taken as the ultimate proof of the validity of the general theory of relativity.

WORLD SCIENTIFIC eBooks•Jan 1, 1998•5 citations
Nobody appears to have ever asked the question of how de Broglie's theroy (1) could be proven generally valid and developed from physical laws. Therefore, we will start from the classical Newton's second law (NSL) to rebuilt the therory of special relativity (SRT) (2). This enables us to derive de Broglie relations from NSL without any of the well-known contradictions between SRT and de Broglie's quantum wave..
Einstein's relativity (SRT) [1], raised an important question: Do its laws apply to matter/energy or to the frame of reference containing it. In other words, is SRT a property characterizing matter/energy or is it an imposed dynamics as expressed by the Lorentz Transformation (LT). This article examines the subtle difference between the two. It proves that matter/energy is the fundamental reality, while the reference frame, although it exists, exerts no force. Therefore, we can start from Newton's second law (NSL) to rebuild SRT [2]. This will allow us to derive the de Broglie relations from NSL while circumventing the well-known contradictions between SRT and de Broglie's quantum wave theory.
It is well known that De Broglie enables the use of the relativistic mechanics and –depending on a number of assumptions – to discover his relation λ=h/p, which led further to the creation of the theory of quantum mechanics (QM). However, after De Broglie's approach famous contradictions have appeared between De Broglie's theory and the Special Relativity Theory, also there were a number of suggestions in order to solve these contradictions. According to the suggested method in our papers it was remarked a serious part of the contradictions, and by following this method, we will present a new approach to derive the relation λ=h/p, starting from classical electrodynamics without any contradictions between Special Relativity Theory (SRT) and De Broglie's theory.
In this paper the quantised version of Newton Second Law is derived assuming merely the existence of de Broglie matter-waves and their basic properties. At the same time we keep an eye towards interpretations of quantum mechanics and will realise that the two most different interpretations (Copenhagen interpretation and the de Broglie-Bohm theory) owe their difference to two fundamentally different approaches to `Harmonisation'. In this regard we shall see that the guiding equation of the de Broglie-Bohm theory currently found in literature is not the most complete equation possible; as a result we answer one of the important questions in interpreting quantum mechanics, namely that `when does the concept of classical path (trajectory) makes sense in quantum mechanics?' Moreover, in light of special-relativistic considerations we shall easily see that in the Number-Division approach, i.e. that of de Broglie-Bohm, the wave operator no longer appears, making it in turn impossible the application of Clifford algebras (Dirac's `square root' of the wave operator).
This pedagogical monograph describes some of the fundamental views of the laws of physics. The derivations are, however, obtained from a rather unconventional point of view. The Lorentz transformations and the special theory of relativity are derived without mentioning the phenomenon of light, and the de Broglie relations in the wave-corpuscle parallelism are derived without the help of Planck's constant. By the use of Schrodinger's idea of quantization as an eigenvalue problem, the foundations of wave mechanics are discussed as a mathematical problem without reference to Planck's constant. Finally, the Kepler problem in the special theory of relativity is studied starting from the energy law, and the applications to the Hulse-Taylor binary pulsar indicate that more data about the unseen companion are needed before the interpretation of the present data may be taken as the ultimate proof of the validity of the general theory of relativity.