Harris, A. Brooks2023-05-232023-05-231967-05-012015-07-07https://repository.upenn.edu/handle/20.500.14332/43158Upper and lower bounds for thermodynamic averages of the form 〈{A, A†}〉 are presented.Reprinted with permission from the Journal of Mathematical Physics. Copyright 1967, American Institute of Physics.PhysicsThermodynamicsArticle