On quantum informational thermodynamics with macrostates defined with respect to several operators

Bolesław Szafnicki

GDML_Books, (1970), p.

Résumé

CONTENTSINTRODUCTION.................................................................................................................................................................................. 5Chapter 1. PRELIMINARIES.............................................................................................................................................................. 7§ 1.1. Basic concepts of quantum mechanics.............................................................................................................................. 7§ 1.2. Basic concepts of quantum informational thermodynamics........................................................................................... 8Chapter 2. THE ENTROPY OF A SYSTEM OF COMMUTING OPERATORS............................................................................ 9§ 2.1. Definitions.................................................................................................................................................................................. 95 2.2. The entropy of a system of operators with finite simple spectra..................................................................................... 10§2.3. The entropy and the generalized temperature.................................................................................................................... 18§ 2.4. Thermodynamically regular systems of operators............................................................................................................ 22Chapter 3. THE MOTION OP PHYSICAL SYSTEMS...................................................................................................................... 26§ 3.1. Basic notions and definitions................................................................................................................................................. 26§ 3.3. Some property of the entropy of moving systems............................................................................................................... 28§ 3.4. Macrostates invariant under motion...................................................................................................................................... 31Chapter 4. MACROSTATES WITH RESPECT TO p-STATISTICAL MOMENTS OF THE OPERATOR A.............................. 35§4.1. Basic concepts.......................................................................................................................................................................... 35§4.2. Some properties of the entropy $S_A(\bar{Φ}(\bar{M}))$.................................................................................................. 36Chapter 5. INFORMATIONAL THERMODYNAMICS IN THE CASE OF A SYSTEM OF NON-COMMUTINGOPERATORS........................................................................................................................................................................................ 39REFERENCES.................................................................................................................................................................................... 43

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Zbl 0216.16802

EUDML-ID : urn:eudml:doc:268454