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

Bolesław Szafnicki

  • Publisher: Instytut Matematyczny Polskiej Akademi Nauk(Warszawa), 1970

Abstract

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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 ( Φ ¯ ( M ¯ ) ) .................................................................................................. 36Chapter 5. INFORMATIONAL THERMODYNAMICS IN THE CASE OF A SYSTEM OF NON-COMMUTINGOPERATORS........................................................................................................................................................................................ 39REFERENCES.................................................................................................................................................................................... 43

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Bolesław Szafnicki. On quantum informational thermodynamics with macrostates defined with respect to several operators. Warszawa: Instytut Matematyczny Polskiej Akademi Nauk, 1970. <http://eudml.org/doc/268454>.

@book{BolesławSzafnicki1970,
abstract = {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},
author = {Bolesław Szafnicki},
language = {eng},
location = {Warszawa},
publisher = {Instytut Matematyczny Polskiej Akademi Nauk},
title = {On quantum informational thermodynamics with macrostates defined with respect to several operators},
url = {http://eudml.org/doc/268454},
year = {1970},
}

TY - BOOK
AU - Bolesław Szafnicki
TI - On quantum informational thermodynamics with macrostates defined with respect to several operators
PY - 1970
CY - Warszawa
PB - Instytut Matematyczny Polskiej Akademi Nauk
AB - 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
LA - eng
UR - http://eudml.org/doc/268454
ER -

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