Ionization of atoms in parallel electric and magnetic fields: The role of classical phase space

1998 ◽  
Vol 58 (5) ◽  
pp. 3884-3890 ◽  
Author(s):  
W. Ihra ◽  
F. Mota-Furtado ◽  
P. F. O’Mahony
Keyword(s):  
Phase Space ◽  
Magnetic Fields ◽  
Electric And Magnetic Fields ◽  
Classical Phase Space

Invariance Groups in Classical and Quantum Mechanics

1973 ◽  
Vol 28 (3-4) ◽  
pp. 538-540 ◽  
Author(s):  
D. J. Simms
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Energy Levels ◽  
Classical Mechanics ◽  
Symmetry Groups ◽  
Casimir Invariants ◽  
Classical Phase Space ◽  
Invariance Groups ◽  
Classical And Quantum Mechanics

AbstractThis is a report on some new relations and analogies between classical mechanics and quantum mechanics which arise out of the work of Kostant and Souriau. Topics treated are i) the role of symmetry groups; ii) the notion of elementary system and the role of Casimir invariants; iii) energy levels; iv) quantisation in terms of geometric data on the classical phase space. Some applications are described.

scholarly journals Dynamics of electric and magnetic fields in case of the urban environment

2021 ◽  
Vol 265 ◽  
pp. 02001
Author(s):  
Vladimir I. Sturman ◽  
Alyona N. Loginovskaya ◽  
Anastasiya A. Dolganova ◽  
Mihail V. Shirokov
Keyword(s):  
Electrical Conductivity ◽  
Magnetic Fields ◽  
Transmission Lines ◽  
Indirect Effects ◽  
Temporal Dynamics ◽  
Weather Conditions ◽  
Line Frequency ◽  
Saint Petersburg ◽  
Electric And Magnetic Fields

This paper studies the temporal dynamics of power-line frequency electric and magnetic fields in Saint-Petersburg and environs. It is found that electromagnetic fields generated by high-voltage transmission lines (HVTL) constantly change, depending on their loading and weather conditions. The dependence on weather conditions involves both the direct effect of air electrical conductivity as a function of its humidity, and indirect effects including the dependence of energy consumption on temperature and also the correlations between meteorological characteristics. An attempt has been made to evaluate the role of influencing factors.

Quantum Stochastic Products and the Quantum Convolution

2021 ◽  
Vol 22 ◽  
pp. 64-77
Author(s):  
Paolo Aniello
Keyword(s):  
Phase Space ◽  
Binary Operation ◽  
Measurement Theory ◽  
Trace Class ◽  
Convolution Product ◽  
Convolution Algebra ◽  
Trace Class Operators ◽  
Classical Phase Space ◽  
Quantum Counterpart

A quantum stochastic product is a binary operation on the space of quantum states preserving the convex structure. We describe a class of associative stochastic products, the twirled products, that have interesting connections with quantum measurement theory. Constructing such a product involves a square integrable group representation, a probability measure and a fiducial state. By extending a twirled product to the full space of trace class operators, one obtains a Banach algebra. This algebra is commutative if the underlying group is abelian. In the case of the group of translations on phase space, one gets a quantum convolution algebra, a quantum counterpart of the classical phase-space convolution algebra. The peculiar role of the fiducial state characterizing each quantum convolution product is highlighted.

CLASSICAL DYNAMICS OF RYDBERG ELECTRONS IN CROSSED FIELDS: THE STRUCTURE OF PHASE SPACE AND CHAOS-ORDER ALTERNATIONS

1994 ◽  
Vol 04 (04) ◽  
pp. 905-920 ◽  
Author(s):  
JAN VON MILCZEWSKI ◽  
G.H.F. DIERCKSEN ◽  
T. UZER
Keyword(s):  
Nonlinear Dynamics ◽  
Phase Space ◽  
Magnetic Fields ◽  
Chaotic Systems ◽  
Rydberg Atoms ◽  
Excited Electron ◽  
Atomic Scale ◽  
Classical Dynamics ◽  
Electric And Magnetic Fields ◽  
Great Complexity

Highly excited Rydberg atoms are atomic-scale laboratories where the quantum mechanics of chaotic systems can be tested. The symmetry breaking introduced into the Coulomb potential by crossed electric and magnetic fields leads to very interesting nonlinear dynamics, but is also a source of great complexity. In this article, we analyse the phase space and dynamics of a highly excited electron in the combined Coulomb, electric, and magnetic fields by bringing out the classical structures that support the complexity of the motion.

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