Hydrogen Atom—The Quantum-Mechanical Kepler Problem

1986 ◽  
pp. 205-222
Author(s):  
Arno Bohm
Keyword(s):  
Hydrogen Atom ◽  
Kepler Problem ◽  
Quantum Mechanical

scholarly journals CHAOS, FRACTALS AND QUANTUM POINCARÉ RECURRENCES IN DIAMAGNETIC KEPLER PROBLEM

2007 ◽  
Vol 21 (02n03) ◽  
pp. 79-96 ◽  
Author(s):  
A. UGULAVA ◽  
L. CHOTORLISHVILI ◽  
T. KERESELIDZE ◽  
V. SKRINNIKOV
Keyword(s):  
Magnetic Field ◽  
Hilbert Space ◽  
Hydrogen Atom ◽  
Strong Magnetic Field ◽  
Quantum Chaos ◽  
Kepler Problem ◽  
Quantum Mechanical ◽  
Mechanical State ◽  
Classical Chaos ◽  
Good Agreement

The statistics of quantum Poincaré recurrences in Hilbert space for diamagnetic hydrogen atom in strong magnetic field has been investigated. It has been shown that quantities characterizing classical chaos are in good agreement with the ones that are used to describe quantum chaos. The equality of classical and quantum Poincaré recurrences has been shown. It has been proved that one of the signs of the emergence of quantum chaos is the irreversible transition from a pure quantum mechanical state to a mixed one.

Quantum mechanical effects for a hydrogen atom confined in a dielectric spherical microcavity

2021 ◽  
pp. 111331
Author(s):  
De-hua Wang ◽  
Jie Zhang ◽  
Zhao-peng Sun ◽  
Shu-fang Zhang ◽  
Gang Zhao
Keyword(s):  
Hydrogen Atom ◽  
Quantum Mechanical ◽  
Mechanical Effects ◽  
Quantum Mechanical Effects

scholarly journals Explicit Green operators for quantum mechanical Hamiltonians. I. The hydrogen atom

2011 ◽  
Vol 135 (3-4) ◽  
pp. 497-519 ◽  
Author(s):  
Heinz-Jürgen Flad ◽  
Gohar Harutyunyan ◽  
Reinhold Schneider ◽  
Bert-Wolfgang Schulze
Keyword(s):  
Hydrogen Atom ◽  
Quantum Mechanical

QUANTUM SPACE-TIME AND ESTIMATIONS ON THE VALUE OF THE FUNDAMENTAL LENGTH

1986 ◽  
Vol 01 (03) ◽  
pp. 183-189 ◽  
Author(s):  
M. DINEYKHAN ◽  
Kh. NAMSRAI
Keyword(s):  
Hydrogen Atom ◽  
Hyperfine Structure ◽  
Lamb Shift ◽  
Space Time ◽  
Low Energy ◽  
Quantum Mechanical ◽  
Quantum Space ◽  
Fundamental Length ◽  
Space Time Structure ◽  
Energy Processes

Generalizing the idea of quantum space-time to the quantum mechanical case we re-analyze low energy processes and consider the nuclear radii, the Lamb shift and hyperfine structure of the hydrogen atom. Calculations of the contributions to these measurements due to quantum space-time structure allow us to obtain estimates on the value of the fundamental length L. Among them, hyperfine structure gives the most stringent bound, L≤10−19 cm.

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