The paper establishes the equivalence between direct integral decompositions of finite-temperature BEC states in the resolvent algebra and ergodic decompositions of associated probability measures in the functional integral approach for the free Bose gas.
The resolvent algebra of non-relativistic bose fields: Observables, dy- namics and states
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Operator algebras and probability theory supply guiding principles for constructive quantum field theory and rigorous statistical mechanics.
citing papers explorer
-
A Note on the Resolvent Algebra and Functional Integral Approach to the Free Bose Einstein Condensation
The paper establishes the equivalence between direct integral decompositions of finite-temperature BEC states in the resolvent algebra and ergodic decompositions of associated probability measures in the functional integral approach for the free Bose gas.
-
Constructive Quantum Field Theory and Rigorous Statistical Mechanics via Operator Algebras and Probability Theory -- Guiding Principles and Research Perspectives
Operator algebras and probability theory supply guiding principles for constructive quantum field theory and rigorous statistical mechanics.