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Physical Mathematics

ISSN: 2090-0902

Open Access

Articles in press and Articles in process

    Short Communication Pages: 1 - 3

    A Different Point of View of Vacuum Problem

    Alberto Miro Moran*

    The cosmological constant problem is localizated in the convergence between general relativity and quantum field theory, it is considered as a fundamental problem in modern physics. In this paper we describe a different point of view of this problem. We discuss how the problem could depend to different definition of the vacuum energy density.

    Review Article Pages: 1 - 4

    An Application of Stochastic Modelling: Describing Growth of COVID Infections

    Sudipta Basu*, Anirban Goswami, Proloy Banerjee and Shreya Bhunia

    In this article it is tried to construct a stochastic model which looks a generalized stochastic version of Von Bertalanffy power law model and Richard’s model and one can use to describe biological growth phenomena according to the appropriate situation and suitability of this model. It is mainly constructed to explain growth dynamics of patients infected by COVID-19 in South Korea. Here it is attempted to find the expression of variable of interest at time t and also the MLE of growth rate parameter is worked out. This model is applied to a real life data of infected patients by COVID-19 in South Korea after observing the growth pattern. This model could be used to the data sets of other countries, where no lockdown was imposed as a precautionary measure to deal with this situation. Then a comparative study is made between some well-known models and special cases of the model, described here. It is found that the special cases of the model that is described in this article fits better to the data than others.

      Mini Review Pages: 1 - 3

      Chemistry and Quantum

      John Franklin Ogilvie

      We consider the quantum aspects of chemical and physical observations and practices, including quantum physics, quantum mechanics, quantum chemistry and the quantum laws of nature. The technical term quantum implies discrete -- the discreteness of a physical entity or an observable property. This term might appear in four legitimate scientific contexts -- quantum physics, quantum mechanics, quantum chemistry and quantum laws. As an extension of a previous report, we consider briefly each in turn.

        Mini Article Pages: 1 - 3

        Untrained Deep Networks in Computational Imaging and Sensing: A Short Review

        Farhad Niknam*

        Physics-based image formation models enable computationally obtaining meaningful information by processing other forms of information which can be acquired through measurements. In practical situations however, the inner functionalities of the system which create the impulse response function are usually unknown, and due to noise, measurements are unreliable. Before Deep Neural Networks (DNNs) taking over, Compressed Sensing (CS) techniques were primarily being used to address this lack of information by imposing assumptions into the problem. But this switch to DNNs came with the price of mass data acquisition for training to leap over the never-ending problem of algorithmic fidelity in CS methods. Recently, deep image prior and untrained or semi-trained networks, while leveraging the power of DNNs and algorithms, have become successful to be considered as potential answers to the desire of finding a cost-efficient yet powerful solution. In this paper, we briefly have a look at the recent breakthroughs conducted over this concept to solve various imaging problems.

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