{"title":"Mid-point technique for calculating divergent integrals","authors":"M. Abu-shady","doi":"10.17352/AMP.000005","DOIUrl":"https://doi.org/10.17352/AMP.000005","url":null,"abstract":"A mid-point technique is introduced to overcome the diffi culties in other techniques. The modied \u0000e⁄ective interaction quark potential which uses to calculate different properties of the NJL model such \u0000as the constituent quark mass, pressure, and energy density is solved using the present technique. The \u0000present method gives good accuracy for the mathematical problem and avoids the physical di¢ culty in \u0000the previous works.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"586 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132726012","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Black quanta. On the thermodynamics of the black holes","authors":"M. Apostol","doi":"10.17352/amp.000004","DOIUrl":"https://doi.org/10.17352/amp.000004","url":null,"abstract":"It is shown that the quantized internal motion of the black holes consists of Planck quanta (Planck \u0000mass, length, time, etc), which may be called black quanta. The mass of the black hole is a integral \u0000multiple of the Planck mass, and the radius of the black hole (Schwarzschild radius) is an integral multiple \u0000of the Planck length. This circumstance arises from the proportionality of the black hole radius and mass. \u0000The statistical physics and the thermodynamics of the black holes are derived herein from the statistical \u0000motion of the black quanta.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122206887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Space Equations","authors":"Jessii Prince","doi":"10.17352/amp.000003","DOIUrl":"https://doi.org/10.17352/amp.000003","url":null,"abstract":"Trying to observe the reason behind the differences in the nature of space that exists on earth and on the outer space led to the path were space and gravity meets. This paper presents a theory which comprises of an already existing effect that has helped to determine the following;","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121466567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"From linear algebra to quantum information","authors":"Yu Lw, Wang Nl, K. S","doi":"10.17352/amp.000023","DOIUrl":"https://doi.org/10.17352/amp.000023","url":null,"abstract":"Anticipating the realization of quantum computers, we propose the most reader-friendly exposition of quantum information and qubits theory. Although the latter lies within framework of linear algebra, it has some fl avor of quantum mechanics and it would be easier to get used to special symbols and terminologies. Quantum mechanics is described in the language of functional analysis: the state space (the totality of all states) of a quantum system is a Hilbert space over the complex numbers and all mechanical quantities are taken as Hermite operators. Hence some basics of functional analysis is necessary. We make a smooth transition from linear algebra to functional analysis by comparing the elements in these theories: Hilbert space vs. fi nite dimensional vector space, Hermite operator vs. linear map given by a Hermite matrix. Then from Newtonian mechanics to quantum mechanics and then to the theory of qubits. We elucidate qubits theory a bit by accommodating it into linear algebra framework under these precursors.","PeriodicalId":430514,"journal":{"name":"Annals of Mathematics and Physics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114432919","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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