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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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