# ANALYZING SHELL STRUCTURE FROM BABYLONIAN AND MODERN TIMES

@article{BrackBernsen2004ANALYZINGSS, title={ANALYZING SHELL STRUCTURE FROM BABYLONIAN AND MODERN TIMES}, author={Lis Brack‐Bernsen and Matthias Brack}, journal={International Journal of Modern Physics E-nuclear Physics}, year={2004}, volume={13}, pages={247-260} }

We investigate "shell structure" from Babylonian times: periodicities and beats in computer-simulated lunar data corresponding to those observed by Babylonian scribes some 2500 years ago. We discuss the mathematical similarity between the Babylonians' recently reconstructed method of determining one of the periods of the moon with modern Fourier analysis and the interpretation of shell structure in finite fermion systems (nuclei, metal clusters, quantum dots) in terms of classical closed or…

## One Citation

In Honor of Lis Brack-Bernsen

- Physics
- 2017

Lis Brack-Bernsen taught history of science at the Lehrstuhl für Wissenschaftsgeschichte at Universität Regensburg. Her research interests include the history of astronomy and mathematics with…

## References

SHOWING 1-10 OF 36 REFERENCES

On the Babylonian Lunar Theory: A Construction of Column Φ from Horizontal Observations

- Physics
- 1990

We demonstrate that column Φ in System A of the Babylonian moon ephemerides can be derived from such horizontal phenomena as were observed and recorded by the Babylonians. Combining four of the…

On the foundations of the Babylonian column Φ : astronomical significance of partial sums of the lunar four

- Physics
- 1994

:
A characteristic feature of the Babylonian mathematical astronomy is the use of periodically varying functions in the form of sequences of numbers (e.g. arithmetic progressions, zig-zag…

Chaos in classical and quantum mechanics

- Physics
- 1990

Contents: Introduction.- The Mechanics of Lagrange.- The Mechanics of Hamilton and Jacobi.- Integrable Systems.- The Three-Body Problem: Moon-Earth-Sun.- Three Methods of Section.- Periodic Orbits.-…

Quantum chaos Y2K : proceedings of Nobel Symposium 116, Bäckaskog Castle, Sweden, June 13-17, 2000

- Physics
- 2001

After-Dinner Speech (M C Gutzwiller) Spectral Twinkling: A New Example of Singularity-Dominated Strong Fluctuations (Summary) (M Berry) Ground State Spin and Coulomb Blockade Peak Motion in Chaotic…

Periodic Orbits and Classical Quantization Conditions

- Physics
- 1971

The relation between the solutions of the time‐independent Schrodinger equation and the periodic orbits of the corresponding classical system is examined in the case where neither can be found by the…

Distribution of eigenfrequencies for the wave equation in a finite domain: III. Eigenfrequency density oscillations

- Mathematics
- 1972

Moon-Earth-Sun: The oldest three-body problem

- Physics
- 1998

The daily motion of the Moon through the sky has many unusual features that a careful observer can discover without the help of instruments. The three different frequencies for the three degrees of…

Quasi-Landau spectrum of the chaotic diamagnetic hydrogen atom.

- PhysicsPhysical review letters
- 1988

The magnetized atom constitutes an ideal model case for detailed experimental studies of the quantum mechanics of a most simple atomic system in classical chaos.

Historical eclipses and the earth's rotation

- PhysicsScience progress
- 2000

Analysis of various observations of solar eclipses reveals that over the past 2,500 years the average rate of lengthening of the day has been 1.7 milliseconds per century, significantly less than the tidal figure of 2.3.

A Classification of the Babylonian Astronomical Tablets of the Seleucid Period

- PhysicsJournal of Cuneiform Studies
- 1948

I. Summary While hunting through the published astronomical cuneifcrm texts of the Seleucid period for Sirius data, it occurred to me that there is need for a brief sketch cf the types and contents…