On an example of impossibility to build a canonical transformation when the eigenvalues are zero

J. Roels

doi:10.1007/bf01230899

On an example of impossibility to build a canonical transformation when the eigenvalues are zero

Celestial Mechanics ◽

10.1007/bf01230899 ◽

1980 ◽

Vol 21 (2) ◽

pp. 203-211

Author(s):

J. Roels

Keyword(s):

Canonical Transformation

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Canonical transformation path to gauge theories of gravity

Physical Review D ◽

10.1103/physrevd.95.124048 ◽

2017 ◽

Vol 95 (12) ◽

Cited By ~ 11

Author(s):

J. Struckmeier ◽

J. Muench ◽

D. Vasak ◽

J. Kirsch ◽

M. Hanauske ◽

...

Keyword(s):

Canonical Transformation ◽

Gauge Theories ◽

Transformation Path ◽

Theories Of Gravity

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The Extended Convolution Approximation as a Canonical Transformation in a Degenerate Boson System

Progress of Theoretical Physics ◽

10.1143/ptp.67.20 ◽

1982 ◽

Vol 67 (1) ◽

pp. 20-40 ◽

Cited By ~ 2

Author(s):

S. Yamasaki ◽

M. Hirooka

Keyword(s):

Canonical Transformation ◽

Boson System

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Canonical transformation approach to the linear Jahn–Teller effectE–e

The Journal of Chemical Physics ◽

10.1063/1.435519 ◽

1978 ◽

Vol 68 (10) ◽

pp. 4398-4405 ◽

Cited By ~ 26

Author(s):

H. Barentzen ◽

O. E. Polansky

Keyword(s):

Canonical Transformation ◽

Transformation Approach ◽

Jahn Teller

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A canonical transformation relating the Lagrangian and Eulerian description of ideal hydrodynamics

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(81)90149-7 ◽

1981 ◽

Vol 108 (2-3) ◽

pp. 557-566 ◽

Cited By ~ 19

Author(s):

W. van Saarloos

Keyword(s):

Canonical Transformation ◽

Eulerian Description

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Control of two-link flexible manipulators via generalized canonical transformation

IEEE Conference on Robotics, Automation and Mechatronics, 2004. ◽

10.1109/ramech.2004.1438900 ◽

2005 ◽

Cited By ~ 1

Author(s):

Xu Bo ◽

K. Fujimoto ◽

Y. Hayakawa

Keyword(s):

Canonical Transformation ◽

Flexible Manipulators

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Canonical transformation of quantization for mesoscopic capacity-coupled dissipative circuit

Acta Physica Sinica ◽

10.7498/aps.56.7224 ◽

2007 ◽

Vol 56 (12) ◽

pp. 7224

Author(s):

物理学报

Keyword(s):

Canonical Transformation

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Two-level atom in a cross cavity

Acta Universitaria ◽

10.15174/au.2013.559 ◽

2013 ◽

Vol 23 ◽

pp. 31-34

Author(s):

J. C. García-Melgarejo ◽

J. J. Sánchez-Mondragón ◽

K. J. Sánchez-Pérez ◽

O. S. Magaña-Loaiza

Keyword(s):

Wave Function ◽

Electromagnetic Fields ◽

Canonical Transformation ◽

Evolution Operator ◽

Atomic Inversion ◽

Time Evolution Operator ◽

Level Atom ◽

Weak Intensity ◽

Cavity Configuration ◽

Intensity Regime

In this work we propose a model to analyze the interaction of a two-level atom (TLA) placed in a cross cavity configuration interacting with two electromagnetic fields injected within the cavity. A canonical transformation for field operators is proposed to obtain effective Hamiltonian such as that of Jaynes-Cummings and we calculate the wave function via time-evolution operator. We present results for the atomic inversion for a state in the weak intensity regime.

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