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Average collective motion of small amplitude

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0006
Subject:
Physics, Nuclear and Plasma Physics

This chapter focuses on collective motion of isoscalar nature parameterized by shape variables. The equations of motion are derived from energy conservation as implied by self-consistency. A basic ... More


Dynamics VII: Interacting fields: general aspects

Anthony Duncan

in The Conceptual Framework of Quantum Field Theory

Published in print:
2012
Published Online:
January 2013
ISBN:
9780199573264
eISBN:
9780191743313
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199573264.003.0009
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter deals with the intricacies of interacting field theories, emphasizing very general aspects common to all local quantum field theories (LQFTs). The basic concept here is that of the ... More


Ideal Quantum Gases

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/9780199646944.003.0026
Subject:
Physics, Condensed Matter Physics / Materials

This chapter develops the basic equations that will be used to analyse the Fermi-Dirac and Bose-Einstein gases. The representation of many-particle states in terms of products of single-particle ... More


Time evolution and wavepackets

Efstratios Manousakis

in Practical Quantum Mechanics: Modern Tools and Applications

Published in print:
2015
Published Online:
December 2015
ISBN:
9780198749349
eISBN:
9780191813474
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198749349.003.0005
Subject:
Physics, Atomic, Laser, and Optical Physics

Here, the chapter discusses time evolution in quantum mechanics and in particular of a free-particle state which is initially prepared as a wavepacket.


Ideal Quantum Gases

Robert H. Swendsen

in An Introduction to Statistical Mechanics and Thermodynamics

Published in print:
2019
Published Online:
February 2020
ISBN:
9780198853237
eISBN:
9780191887703
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198853237.003.0027
Subject:
Physics, Condensed Matter Physics / Materials, Theoretical, Computational, and Statistical Physics

As a preliminary to discussing the properties of Bose–Einstein and Fermi–Dirac gases, this chapter presents the basic quantum equations that underlie both. The process of building N-body states from ... More


The Physical States

Laurent Baulieu, John Iliopoulos, and Roland Sénéor

in From Classical to Quantum Fields

Published in print:
2017
Published Online:
May 2017
ISBN:
9780198788393
eISBN:
9780191830310
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198788393.003.0005
Subject:
Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The necessity of introducing particle states. The representations of the Poincar’e group and the one-particle states. The Fock space of non-interacting particles.


Quantum transport

B. K. Ridley FRS

in Quantum Processes in Semiconductors

Published in print:
2013
Published Online:
December 2013
ISBN:
9780199677214
eISBN:
9780191760624
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199677214.003.0011
Subject:
Physics, Condensed Matter Physics / Materials

In certain cases, the electron involved in the scattering process may begin in a well-defined initial state and end up in an equally well-defined final state. Scattering is assumed to conserve energy ... More


The Ideal Bose Gas

Lev Pitaevskii and Sandro Stringari

in Bose-Einstein Condensation and Superfluidity

Published in print:
2016
Published Online:
March 2016
ISBN:
9780198758884
eISBN:
9780191818721
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198758884.003.0003
Subject:
Physics, Condensed Matter Physics / Materials

This chapter describes the mechanism of Bose–Einstein condensation in the simplest ideal Bose gas case. An explicit expression for the critical temperature is derived in the analytically soluble case ... More


Bundles of Quantum States

Daniel Canarutto

in Gauge Field Theory in Natural Geometric Language: A revisitation of mathematical notions of quantum physics

Published in print:
2020
Published Online:
December 2020
ISBN:
9780198861492
eISBN:
9780191894374
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198861492.003.0014
Subject:
Mathematics, Applied Mathematics, Mathematical Physics

A brief introduction to Frölicher's notion of smoothness (F-smoothness) leads to a natural definition of a distributional bundle, that is a bundle whose fibers are distributional spaces constituted ... More


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