Articles written in Pramana – Journal of Physics

    • On a new formulation of microphenomena: Basic principles, stationary fields and beyond

      Afshin Shafiee

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      In a series of essays, beginning with this article, we are going to develop a new formulation of microphenomena based on the principles of reality and causality. The new theory provides us with a new depiction of microphenomena assuming a unified concept of information, matter and energy. So, we suppose that in a definite microphysical context (including other interacting particles), each particle is enfolded by a probability field whose existence is contingent on the existence of the particle, but it can locally affect the physical status of the particle in a context-dependent manner. The dynamics of the whole particle-field system obeys deterministic equations in a manner such that when the particle is subjected to a conservative force, the field also experiences a conservative complex force, the form of which is determined by the dynamics of the particle. So, the field is endowed with a given amount of energy, but its value is contingent on the physical conditions the particle is subjected to. Based on the energy balance of the particle and its associated field, we argue why the field has a probabilistic objective nature. The basic elements of this new formulation, its application for some stationary states and its nonlinear generalization for conservative systems are discussed here.

    • Determination of classical behaviour of the Earth for large quantum numbers using quantum guiding equation


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      For quantum systems, we expect to see the classical behaviour at the limit of large quantum numbers. Hence, we apply Bohmian approach for describing the evolution of Earth around the Sun. We obtain possible trajectories of the Earth system with different initial conditions which converge to a certain stable orbit, known as the Kepler orbit, after a given time. The trajectories are resulted from the guiding equation $p = \nabla S$ in the Bohmian mechanics, which relates the momentum of the system to the phase part of the wave function. Except at some special situations, Bohmian trajectories are not Newtonian in character. We show that the classic behaviour of theEarth can be interpreted as the consequence of the guiding equation at the limit of large quantum numbers.

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