Mathematics for physicists

by Wang, Huaiyu

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Title Statements

Full title :Mathematics for physicists / Wang Huaiyu, Tsinghua University, China.

Edition Statements

Publication Date:©2017

Publication Statements

Publisher(s):World Scientific
Place of Publication:Hackensack, NJ
Language:eng
Publication Date:©2017

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9789813146495, 9813146494
oclc:on1020637944
LC Classification:QC20.W275 2017
Dewey Decimal:530.15

Intro; Contents; Introduction; Preface; Chapter 1 Variational Method; 1.1. Functional and Its Extremal Problems; 1.1.1. The conception of functional; 1.1.2. The extremes of functionals; 1.2. The Variational of Functionals and the Simplest Euler Equation; 1.2.1. The variational of functionals; 1.2.2. The simplest Euler equation; 1.3. The Cases of Multifunctions and Multivariates; 1.3.1. Multifunctions; 1.3.2. Multivariates; 1.4. Functional Extremes under Certain Conditions; 1.4.1. Isoperimetric problem; 1.4.2. Geodesic problem; 1.5. Natural Boundary Conditions; 1.6. Variational Principle.

1.6.1. Variational principle of classical mechanics1.6.2. Variational principle of quantum mechanics; 1.7. The Applications of the Variational Method in Physics; 1.7.1. The applications in classical physics; 1.7.2. The applications in quantum mechanics; Exercises; Chapter 2 Hilbert Space; 2.1. Linear Space, Inner Product Space and Hilbert Space; 2.1.1. Linear space; 2.1.2. Inner product space; 2.1.3. Hilbert space; 2.2. Operators in Inner Product Spaces; 2.2.1. Operators and adjoint operators; 2.2.2. Self-adjoint operators.

2.2.3. The alternative theorem for the solutions of linear algebraic equ…