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Optical double resonance experiments

Alan Corney

in Atomic and Laser Spectroscopy

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211456
eISBN:
9780191705915
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211456.003.0016
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter explains the excitation of atoms by polarized resonance radiation and their interaction with static and radio-frequency fields, known as optical double-resonance. The Brossel-Bitter ... More


The hyperfine structure of atoms and its investigation by magnetic resonance methods

Alan Corney

in Atomic and Laser Spectroscopy

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211456
eISBN:
9780191705915
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211456.003.0018
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter develops the theory of the hyperfine structure of atoms involving nuclear magnetic dipole and electric quadrupole moments. The Zeeman effect in weak, intermediate, and strong magnetic ... More


Atomic and Laser Spectroscopy

Alan Corney

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211456
eISBN:
9780191705915
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211456.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

This book gives an account of the progress that has been made in the fields of atomic physics and laser spectroscopy during the last fifty years. The first five chapters prepare the foundations of ... More


Double Resonance: Forcing Equivalence

Kaloshin Vadim and Zhang Ke

in Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)

Published in print:
2020
Published Online:
May 2021
ISBN:
9780691202525
eISBN:
9780691204932
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691202525.003.0005
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter assesses the choice of cohomology and Aubry-Mather type at the double resonance. It begins by choosing cohomology classes for the (unperturbed) slow mechanical system. As in the case of ... More


Normal Forms and Cohomology Classes at Single Resonances

Kaloshin Vadim and Zhang Ke

in Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)

Published in print:
2020
Published Online:
May 2021
ISBN:
9780691202525
eISBN:
9780691204932
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691202525.003.0003
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter discusses the single-resonance non-degeneracy conditions and normal forms. It then formulates Theorem 3.3, which covers the forcing equivalence in the single-resonance regime. The ... More


Double Resonance: Geometric Description

Kaloshin Vadim and Zhang Ke

in Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)

Published in print:
2020
Published Online:
May 2021
ISBN:
9780691202525
eISBN:
9780691204932
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691202525.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter examines the geometrical structure for the system at double resonance. After describing the normal form near a double resonance, it reduces the system to the slow mechanical system with ... More


Aubry-Mather type at the Double Resonance

Kaloshin Vadim and Zhang Ke

in Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)

Published in print:
2020
Published Online:
May 2021
ISBN:
9780691202525
eISBN:
9780691204932
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691202525.003.0011
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter proves Aubry-Mather type for the double resonance regime. It begins by considering the “non-critical energy case” and showing that the cohomologies as chosen are of Aubry-Mather type. ... More


Derivation of the slow mechanical system

Kaloshin Vadim and Zhang Ke

in Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)

Published in print:
2020
Published Online:
May 2021
ISBN:
9780691202525
eISBN:
9780691204932
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691202525.003.0014
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter proves various normal form results and formulates the coordinate changes that are used to derive the slow system at the double resonance. The discussions here apply to arbitrary degrees ... More


State Preparation and Intramolecular Vibrational Energy Redistribution

Tomas Baer and William L. Hase

in Unimolecular Reaction Dynamics: Theory and Experiments

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195074949
eISBN:
9780197560297
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195074949.003.0006
Subject:
Chemistry, Theoretical Chemistry

The first step in a unimolecular reaction involves energizing the reactant molecule above its decomposition threshold. An accurate description of the ensuing unimolecular reaction requires an ... More


Marriage and the American Dream

Peter Mansfield

in The Long Road to Stockholm: The Story of Magnetic Resonance Imaging - An Autobiography

Published in print:
2013
Published Online:
January 2013
ISBN:
9780199664542
eISBN:
9780191758461
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199664542.003.0004
Subject:
Physics, Soft Matter / Biological Physics, History of Physics

Jean Kibble and the author were married on 1st September 1962. They honeymooned in Inverness, Scotland. Later they sailed to America. A day before docking they heard on the ship’s radio of the ... More


Dynamics of Ground State Bimolecular Reactions

Curt Wittig and Ahmed H. Zewail

in Chemical Reactions in Clusters

Published in print:
1996
Published Online:
November 2020
ISBN:
9780195090048
eISBN:
9780197560594
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780195090048.003.0006
Subject:
Chemistry, Physical Chemistry

During the past decade, the study of photoinitiated reactive and inelastic processes within weakly bound gaseous complexes has evolved into an active area of research in the field of chemical ... More


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