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A new way for the extension of quantum theory: Non-Bohmian quantum potentials
, Article Foundations of Physics ; Volume 39, Issue 1 , 2009 , Pages 33-44 ; 00159018 (ISSN) ; Karamian, M ; Golshani, M ; Sharif University of Technology
Abstract
Quantum Mechanics is a good example of a successful theory. Most of atomic phenomena are described well by quantum mechanics and cases such as Lamb Shift that are not described by quantum mechanics, are described by quantum electrodynamics. Of course, at the nuclear level, because of some complications, it is not clear that we can claim the same confidence. One way of taking these complications and corrections into account seems to be a modification of the standard quantum theory. In this paper and its follow ups we consider a straightforward way of extending quantum theory. Our method is based on a Bohmian approach. We show that this approach has the essential ability for extending quantum...
A quasi-newtonian approach to bohmian mechanics i: Quantum potential
, Article Annales de la Fondation Louis de Broglie ; Volume 34, Issue 1 , 2009 , Pages 67-81 ; 01824295 (ISSN) ; Karamian, M ; Golshani, M ; Sharif University of Technology
Abstract
In this article, we investigate Bohm's view of quantum theory, especially Bohm's quantum potential, from a new perspective. We develop a quasi-Newtonian approach to Bohmian mechanics. We show that to arrive at Bohmian formulation of quantum mechanics, there is no necessity to start from the Schrödinger equation. We also obtain an equation that restricts the possible forms of quantum potential and determines the functional form of it without appealing to the wave function and the Schrödinger equation. Finally, we discuss about the significance of quantum potential in the conceptual structure of quantum theory
A quasi-newtonian approach to bohmian mechanics II: inherent quantization
, Article Annales de la Fondation Louis de Broglie ; Volume 34, Issue 2 , 2009 , Pages 165-181 ; 01824295 (ISSN) ; Karamian, M ; Golshani, M ; Sharif University of Technology
2009
Abstract
In a previous paper, we obtained the functional form of quantum potential by a quasi-Newtonian approach and without appealing to the wave function. We also described briefly the characteristics ofthis approach to the Bohmian mechanics. In this article, we consider the quantization problem and we show that the 'eigenvalue postulate' is a natural consequence of continuity condition and there is no need for postulating that the spectrum of energy and angular momentum are eigenvalues of their relevant operators. In other words, the Bohmian mechanics predicts the 'eigenvalue postulate'
Origin of Quantum Potential: Have the Presented Proposals Been Successful?
,
M.Sc. Thesis
Sharif University of Technology
;
Golshani, Mehdi
(Supervisor)
Abstract
At least nine different formalisms have been presented for Quantum mechanics which by itself can indicate the incomplete understanding of Quantum theory. Each formalism has its own ups and downs, but de Broglie–Bohm approach which is based on representing a causal interpretation has a special place among them. This approach not only can explain the statistical approach to an ensemble of systems, but also can describe single systems. There are two general approaches in de Broglie–Bohm formalism. The first approach which includes more things in itself than the other approach is Bohm’s which considers Quantum potential energy as the principal factor in causing Quantum effects. The original idea...
Deriving relativistic Bohmian quantum potential using variational method and conformal transformations
, Article Pramana - Journal of Physics ; Volume 86, Issue 4 , 2016 , Pages 747-761 ; 03044289 (ISSN) ; Golshani, M ; Sarbishei, M ; Sharif University of Technology
Abstract
In this paper we shall argue that conformal transformations give some new aspects to a metric and changes the physics that arises from the classical metric. It is equivalent to adding a new potential to relativistic Hamilton-Jacobi equation. We start by using conformal transformations on a metric and obtain modified geodesics. Then, we try to show that extra terms in the modified geodesics are indications of a background force. We obtain this potential by using variational method. Then, we see that this background potential is the same as the Bohmian non-local quantum potential. This approach gives a method stronger than Bohm's original method in deriving Bohmian quantum potential. We do not...