書(shū)目名稱 | Geometry, Topology and Quantization | 編輯 | Pratul Bandyopadhyay | 視頻video | http://file.papertrans.cn/384/383854/383854.mp4 | 叢書(shū)名稱 | Mathematics and Its Applications | 圖書(shū)封面 |  | 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 | 關(guān)鍵詞 | Particle Physics; differential geometry; manifold; mathematical physics; quantum mechanics | 版次 | 1 | doi | https://doi.org/10.1007/978-94-011-5426-0 | isbn_softcover | 978-94-010-6282-4 | isbn_ebook | 978-94-011-5426-0 | copyright | Kluwer Academic Publishers 1996 |
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