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Numerical ranges in physics
Authors:Nat  lia Bebiano  Jo¯  o da Providê  ncia
Institution:Natá,lia Bebiano ,Jo�,o da Providê,ncia
Abstract:Some examples of the incidence of Numerical Ranges in Physics are discussed. The Thermodynamical Inequality is deduced using the theory of Numerical Ranges. The Peierls-Bogoliubov inequality is obtained from the Thermodynamical Inequality. The formalism of Thermo Field Dynamics is summarized in the same framework.
Keywords:Numerical range  derivation  quantum state  quantum statistical state  AMS Subject Classification: 15A60  15A90
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