Multivariate extensions of the Golden-Thompson inequality
Frank Hansen
TL;DR
This paper extends the Golden-Thompson inequality to multiple variables, providing new bounds for trace functions relevant in quantum statistical mechanics, bridging quantum and classical physics insights.
Contribution
It introduces multivariate generalizations of the Golden-Thompson inequality, a novel mathematical development in operator theory and quantum physics.
Findings
Established multivariate inequalities for trace functions
Derived bounds relevant to quantum statistical mechanics
Bridged quantum and classical physics through new inequalities
Abstract
We study concave trace functions of several operator variables and formulate and prove multivariate generalisations of the Golden-Thompson inequality. The obtained results imply that certain functionals in quantum statistical mechanics have bounds of the same form as they appear in classical physics.
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