Long-range order in quantum lattice systems of linear oscillators

• Published in: Український математичний журнал
• Date: 2006
• ISSN: 1027-3190
• Main Author: Skrypnik, W.I.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2006
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/165551
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Long-range order in quantum lattice systems of linear oscillators / W.I. Skrypnik // Український математичний журнал. — 2006. — Т. 58, № 10. — С. 1407–1424. — Бібліогр.: 16 назв. — англ.

The existence of the ferromagnetic long-range order is proved for equilibrium quantum lattice systems of linear oscillators whose potential energy contains a strong ferromagnetic nearest-neighbor (nn) pair interaction term and a weak nonferromagnetic term under a special condition on a superstabilit...