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math-ph2007★ 5 cited
Phase Transitions and Quantum Stabilization in Quantum Anharmonic Crystals
Alina Kargol, Yuri Kondratiev, Yuri Kozitsky
A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. T…
math-ph2006★ 2 cited
A Phase Transition in a Quantum Crystal with Asymmetric Potentials
Alina Kargol, Yuri Kozitsky
A translation invariant system of interacting quantum anharmonic oscillators indexed by the elements of a simple cubic lattice is considered. The anharmonic potentia…