Jump to ContentJump to Main Navigation

You are looking at 1-11 of 11 items

  • Keywords: Dirac delta function x
Clear All Modify Search

View:

Mathematics and Physics: Strategies of Assimilation

Alasdair Urquhart

in The Philosophy of Mathematical Practice

Published in print:
2008
Published Online:
February 2010
ISBN:
9780199296453
eISBN:
9780191711961
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296453.003.0017
Subject:
Philosophy, Logic/Philosophy of Mathematics

The main topic of this chapter is the problem posed to the mathematical community by the non-rigorous methods used by physicists in investigating mathematical problems. These methods are often highly ... More


Continuous Random Numbers

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2012
Published Online:
December 2013
ISBN:
9780199646944
eISBN:
9780191775123
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199646944.003.0005
Subject:
Physics, Condensed Matter Physics / Materials

This chapter extends the development of probability theory to include continuous random variables. Dirac delta functions are used to simplify the transformation of continuous random variables, as ... More


Fourier series and Fourier transforms

Chun Wa Wong

in Introduction to Mathematical Physics: Methods & Concepts

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199641390
eISBN:
9780191747786
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641390.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

The Fourier expansion of an arbitrary piecewise-smooth function in the finite interval —π 〈 x 〈 π as an infinite sum of terms (a 0; a n ... More


Retarded Green’s Functions

Norman J. Morgenstern Horing

in Quantum Statistical Field Theory: An Introduction to Schwinger's Variational Method with Green's Function Nanoapplications, Graphene and Superconductivity

Published in print:
2017
Published Online:
January 2018
ISBN:
9780198791942
eISBN:
9780191834165
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198791942.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Chapter 5 introduces single-particle retarded Green’s functions, which provide the probability amplitude that a particle created at (x, t) is later annihilated at (x′,t′). Partial Green’s functions, ... More


Molecular Scattering and Fourier Transforms

Peter B. Moore

in Visualizing the Invisible: Imaging Techniques for the Structural Biologist

Published in print:
2012
Published Online:
May 2015
ISBN:
9780199767090
eISBN:
9780190267841
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:osobl/9780199767090.003.0002
Subject:
Biology, Biochemistry / Molecular Biology

This chapter explores the mathematical relationships existing between known molecular structures from Chapter 1 and the structure factors, particularly dealing with the Fourier transforms and Fourier ... More


Free Particle, Wave Packet and Dynamics, Quantum Dots, Defects and Traps

Duncan G. Steel

in Introduction to Quantum Nanotechnology: A Problem Focused Approach

Published in print:
2021
Published Online:
July 2021
ISBN:
9780192895073
eISBN:
9780191924149
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895073.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

This chapter continues with a study of the time independent Schrödinger equation and seeks to contrast the quantum behavior of a free particle with that of a particle localized in a potential quantum ... More


Nano-Mechanical Oscillator and Basic Dynamics: Part I

Duncan G. Steel

in Introduction to Quantum Nanotechnology: A Problem Focused Approach

Published in print:
2021
Published Online:
July 2021
ISBN:
9780192895073
eISBN:
9780191924149
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780192895073.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

This discussion introduces the student to the reality, in quantum technology, that analysis of any problem necessarily begins with the Hamiltonian representing the system. The quantum Hamiltonian ... More


Soil Properties and Water Movement

J. -Y. Parlange and T. S. Steenhuis

in Vadose Zone Hydrology: Cutting Across Disciplines

Published in print:
1999
Published Online:
November 2020
ISBN:
9780195109900
eISBN:
9780197561058
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195109900.003.0008
Subject:
Earth Sciences and Geography, Oceanography and Hydrology

For all spatial scales, from pore through local and field, to a watershed, interaction of the land surface with the atmosphere will be one of the crucial topics in hydrology and environmental ... More


Differential equations in physics

Chun Wa Wong

in Introduction to Mathematical Physics: Methods & Concepts

Published in print:
2013
Published Online:
May 2013
ISBN:
9780199641390
eISBN:
9780191747786
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199641390.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

Ordinary and partial differential equations appear in physics as equations of motion or of state. They are often linear differential equations for which a sum of solutions remains a solution. The ... More


Some essential mathematics

J. Pierrus

in Solved Problems in Classical Electromagnetism: Analytical and Numerical Solutions with Comments

Published in print:
2018
Published Online:
October 2018
ISBN:
9780198821915
eISBN:
9780191861055
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198821915.003.0001
Subject:
Physics, Condensed Matter Physics / Materials

This chapter introduces most of the important mathematics that will be used repeatedly throughout this book. Whilst scalars like the electric potential Ф and the vector fields E and B are familiar ... More


Measurement of Scattering Coefficients

Dale Chimenti, Stanislav Rokhlin, and Peter Nagy

in Physical Ultrasonics of Composites

Published in print:
2011
Published Online:
November 2020
ISBN:
9780195079609
eISBN:
9780197560389
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195079609.003.0012
Subject:
Chemistry, Industrial Chemistry

In the previous chapters, we saw how waves in composites behaved under various circumstances, depending on material anisotropy and wave propagation direction. The most important function that ... More


View: