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Titlebook: Geometry, Topology and Quantization; Pratul Bandyopadhyay Book 1996 Kluwer Academic Publishers 1996 Particle Physics.differential geometry

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发表于 2025-3-21 16:56:02 | 显示全部楼层 |阅读模式
书目名称Geometry, Topology and Quantization
编辑Pratul Bandyopadhyay
视频videohttp://file.papertrans.cn/384/383854/383854.mp4
丛书名称Mathematics and Its Applications
图书封面Titlebook: Geometry, Topology and Quantization;  Pratul Bandyopadhyay Book 1996 Kluwer Academic Publishers 1996 Particle Physics.differential geometry
描述This is a monograph on geometrical and topological features which arise in various quantization procedures. Quantization schemes consider the feasibility of arriving at a quantum system from a classical one and these involve three major procedures viz. i) geometric quantization, ii) Klauder quantization, and iii) stochastic quanti­ zation. In geometric quantization we have to incorporate a hermitian line bundle to effectively generate the quantum Hamiltonian operator from a classical Hamil­ tonian. Klauder quantization also takes into account the role of the connection one-form along with coordinate independence. In stochastic quantization as pro­ posed by Nelson, Schrodinger equation is derived from Brownian motion processes; however, we have difficulty in its relativistic generalization. It has been pointed out by several authors that this may be circumvented by formulating a new geometry where Brownian motion proceses are considered in external as well as in internal space and, when the complexified space-time is considered, the usual path integral formulation is achieved. When this internal space variable is considered as a direc­ tion vector introducing an anisotropy in the in
出版日期Book 1996
关键词Particle Physics; differential geometry; manifold; mathematical physics; quantum mechanics
版次1
doihttps://doi.org/10.1007/978-94-011-5426-0
isbn_softcover978-94-010-6282-4
isbn_ebook978-94-011-5426-0
copyrightKluwer Academic Publishers 1996
The information of publication is updating

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发表于 2025-3-21 21:53:51 | 显示全部楼层
new geometry where Brownian motion proceses are considered in external as well as in internal space and, when the complexified space-time is considered, the usual path integral formulation is achieved. When this internal space variable is considered as a direc­ tion vector introducing an anisotropy in the in978-94-010-6282-4978-94-011-5426-0
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Electrical Measurement Techniquesre (+−−−), . also possesses a space-time and a time orientation. Just like any other vector space, we have operations of addition and multiplication by scalars that is if ., ., . we have.There exists a basis consisting of four linearly independent vectors .., ..,..,..∈..
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Control of the Neuromuscular System,certain conditions which when incorporated in a classical system help us to establish a correspondence with a quantum system. At the quantum level, the states of a physical system are represented by the rays in a Hilbert space . and the observables by a collection of operators . on . In a classical
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The protection of transformers,can be achieved if we incorporate Brownian motion processes in the internal space also apart from that in the external space. That means, after quantization for an observational procedure we can think of the mean position of the particle .. in the external observable space with a stochastic extensio
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Electrical Power System Protectionve rise to massive fermions when the fermion number is found to be of topological origin. In case of nucleons he has put the argument that the pionic fields can take their values in .. which is equivalent to . (2) group manifold and this gives rise to the topological charge in terms of the winding n
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Topological Field Theory,A topological field theory generally consists of.for some functional .. of the fields ϕ and the metric . is generally identified as a BRST charge and the Grassmann grading corresponds to ghost number.
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