Result: Harmonic potential as an effective limit of a discrete classical interaction: Harmonic potential as an effective limit of a discrete classical interaction.

Title:
Harmonic potential as an effective limit of a discrete classical interaction: Harmonic potential as an effective limit of a discrete classical interaction.
Source:
Journal of Physics A: Mathematical and General. 36:5115-5120
Publication Status:
Preprint
Publisher Information:
IOP Publishing, 2003.
Publication Year:
2003
Document Type:
Academic journal Article<br />Other literature type
File Description:
application/xml
ISSN:
1361-6447
0305-4470
DOI:
10.1088/0305-4470/36/18/315
DOI:
10.48550/arxiv.gr-qc/0301081
Rights:
arXiv Non-Exclusive Distribution
Accession Number:
edsair.doi.dedup.....d9849d83c1a2333f91b6ad5e76b256d4
Database:
OpenAIRE

Further Information

Motivated by improving the understanding of the quantum-to-classical transition we use a simple model of classical discrete interactions for studying the discrete-to-continuous transition in the classical harmonic oscillator. A parallel is traced with gravity for stressing the relevance of such discrete interaction models.
Typo corrections and 4 references added. To appear in J. of Physics A: Math. and Gen