Trapped bosons, thermodynamic limit, and condensation: A study in the framework of resolvent algebras

DOI10.1063/5.0042830zbMath1462.81215arXiv2012.08609OpenAlexW3157937554MaRDI QIDQ4987872

Detlev Buchholz, Dorothea Bahns

Publication date: 4 May 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.08609

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) States of selfadjoint operator algebras (46L30) Statistical thermodynamics (82B30) Ion traps (78A37) Canonical quantization (81S08) Bosonic systems in quantum theory (81V73)

Related Items (3)

Proper condensates and long range order ⋮ Proper condensates ⋮ On the structure of the field \(C^\ast \)-algebra of a symplectic space and spectral analysis of the operators affiliated to it

Cites Work

• The mathematics of the Bose gas and its condensation.
• Many-body boson systems. Half a century later
• The resolvent algebra: A new approach to canonical quantum systems
• The resolvent algebra of non-relativistic Bose fields: observables, dynamics and states
• Lie algebras of derivations and resolvent algebras
• The resolvent algebra of non-relativistic Bose fields: sectors, morphisms, fields and dynamics
• The resolvent algebra: ideals and dimension
• Goldstone theorem for Bose systems
• The resolvent algebra for oscillating lattice systems: dynamics, ground and equilibrium states
• Algebraic supersymmetry: a case study
• The \(C^ *\)-algebras of a free Boson field
• Algebraic approach to Bose-Einstein condensation in relativistic quantum field theory: spontaneous symmetry breaking and the Goldstone theorem
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