| 书目名称 | The Matrix Perturbation Method in Quantum Mechanics | | 编辑 | Francisco Soto-Eguibar,Braulio Misael Villegas-Mar | | 视频video | | | 概述 | Offers a simplified technique for perturbative solutions to problems with a Schrödinger-like structure.Demonstrates how this new analysis applies to time evolution of mixed states in a Lindblad master | | 图书封面 |  | | 描述 | This book provides an alternative approach to time-independent perturbation theory in non-relativistic quantum mechanics. It allows easy application to any initial condition because it is based on an approximation to the evolution operator and may also be used on unitary evolution operators for the unperturbed Hamiltonian in the case where the eigenvalues cannot be found. This flexibility sets it apart from conventional perturbation theory. The matrix perturbation method also gives new theoretical insights; for example, it provides corrections to the energy and wave function in one operation. Another notable highlight is the facility to readily derive a general expression for the normalization constant at .m.-th order, a significant difference between the approach within and those already in the literature. Another unique aspect of the matrix perturbation method is that it can be extended directly to the Lindblad master equation. The first and second-order corrections are obtained for this equation and the method is generalized for higher orders. An alternative form of the Dyson series, in matrix form instead of integral form, is also obtained. Throughout the book, several benchma | | 出版日期 | Book 2023 | | 关键词 | Perturbation methods in quantum mechanics; Matrix perturbation method; Normalized matrix perturbation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-48546-6 | | isbn_softcover | 978-3-031-48548-0 | | isbn_ebook | 978-3-031-48546-6 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 19:32:45
