Mathematical Methods for Physics : Problems and Solutions.

Format:

Book

Author/Creator:

Aliev, Farkhad G.

Contributor:

Lara, Antonio

Taylor & Francis eBooks

Language:

English

Subjects (All):

Mathematical physics.

Mathematical physics--Problems, exercises, etc.

Physical Description:

1 online resource (538 p.)

Edition:

REV. ED.

Place of Publication:

Milton : Jenny Stanford Publishing, 2023.

Biography/History:

Farkhad G. Aliev is Echegaray Professor of Condensed Matter Physics at Universidad Aut̤noma de Madrid (UAM), Spain. He conducted research as a scientist at Lomonosov Moscow State University (1984-1995) and was a visiting professor and a senior researcher at UAM (1990-1995) and at Katholieke Universiteit Leuven (1995-1998). He leads the MAGNETRANS group at UAM, which focuses on dynamics in magnetic and superconducting nanostructures. He has been teaching a course on Mathematical Methods for Physics at UAM for several years. Antonio Lara obtained his PhD in Condensed Matter Physics at the MAGNETRANS group (UAM) in 2017, under the super vision of Prof. Farkhad G. Aliev. During his doctoral studies, his research focused on magnetic dynamics, as well as superconducting vortex dynamics in hybrid magnetic/ superconducting systems at the nanoscale. He has taught problem-solving lessons on Mathematical Methods for Physics at UAM for several years. He has been awarded several prizes for young researchers at international conferences of Solid State Physics.

Contents:

Cover

Half Title

Title Page

Copyright Page

Table of Contents

Preface

Chapter 1: Harmonic Oscillator and Green's Function

1.1: Damped Harmonic Oscillator

1.2: Properties of the Ordinary Linear Differential Equation for a Forced Oscillator

1.3: General Definition of Green's Functions

1.4: Expansion of Green's Function in a Series of Orthogonal Eigenfunctions

1.5: Green's Function of an Oscillator with Friction

1.6: Movement of an Oscillator under the Influence of a Constant Force, Solved by Two Methods

1.7: Oscillator Forced by a Rectangular Hit, Solved with Green's Functions

1.8: Movement of a Mass after an Instantaneous Exponential Hit

1.9: Shape of a String in Mechanical Equilibrium, Solved by the Green's Function Method

1.10: Case Study: Transversal Displacement of a Tense String Glued to an Elastic Plane

1.11: Forced Harmonic Oscillator, Solved with Green's Functions

Chapter 2: Problems in One Dimension

2.1: Closed String

2.2: Sturm-Liouville Problem with Boundary Conditions of the Second and Third Kind

2.3: Stationary String in a Gravitational Field

2.4: Static String with Boundary Conditions of the Third Kind at Both Ends

2.5: String with a Point Mass Hanging from One of Its Ends

2.6: String with a Point Mass in Its Center and Second and Third Type Boundary Conditions

2.7: Static Form of a String with a Mass

2.8: Heat Conduction through a Semi-Insulated Bar

2.9: Variation of the Temperature of a Thin Rod as a Function of Time

2.10: Thermal Conduction in a Bar with Insulated Ends

2.11: Variation of the Temperature of a Bar as a Function of Time

2.12: Relaxation of Temperature in a Rod with a Local Heat Source

2.13: Heat Transfer in an Insulated Bar According to Newton's Law

2.14: Case Study: Heat Transfer in a Semi-Infinite 1D Bar: Periodically Varying Temperature

2.15: Case Study: Vibrations of Two United Bars

2.16: Distribution of Temperature in a Non-Homogeneous Bar

2.17: Case Study: Variation in the Ion Concentration in a Rod with Flux across Its Ends

2.18: Oscillations of a Non-Homogeneous String

2.19: Forced Oscillations of a String

2.20: Case Study: Oscillations of a String Subject to an External Force

2.21: Case Study: Oscillations of the Gas in a Semi-Open Tube

2.22: Variation of the Temperature in a Thin Rod Exchanging Heat through Its Surface

2.23: Distribution of Temperature in a Thin Wire with Losses on Its Surface

2.24: Oscillations of a Finite String with Friction

2.25: Propagation of a Thermal Pulse in a Thin Bar with Insulated Ends

2.26: Forced Oscillations of a Hanging String in a Gravitational Field

2.27: Temperature Equilibrium in a Bar with Heat Sources

2.28: Case Study: String under a Gravitational Field

2.29: String with Oscillations Forced in One of Its Ends

Notes:

Description based upon print version of record.

2.30: Oscillations of a String with a Force That Increases Linearly in Time

Electronic reproduction. London Available via World Wide Web.

Other Format:

Print version: Aliev, Farkhad G. Mathematical Methods for Physics

ISBN:

9781000908510

1000908518

9781000908480

1000908488

9781003410881

100341088X

Publisher Number:

90103473174

Access Restriction:

Restricted for use by site license.