Microscopic inclusion statistics in a discrete 1-body spectrum

التفاصيل البيبلوغرافية
العنوان: Microscopic inclusion statistics in a discrete 1-body spectrum
المؤلفون: Ouvry, Stephane, Polychronakos, Alexios P.
سنة النشر: 2024
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Statistical Mechanics
الوصف: We present the microscopic formulation of inclusion statistics, a counterpoint to exclusion statistics in which particles tend to coalesce more than ordinary bosons. We derive the microscopic occupation multiplicities of 1-body quantum states and show that they factorize into a product of clusters of neighbouring occupied states with enhanced statistical weights. Applying this statistics to a one-dimensional gas of particles in a harmonic well leads to a Calogero-like n-body inclusion spectrum with interesting physical properties.
Comment: 23 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2402.03429
رقم الأكسشن: edsarx.2402.03429
قاعدة البيانات: arXiv