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010   $a981-10-1506-6
024 7 $a10.1007/978-981-10-1506-9
035   $a(CKB)4100000000882508
035   $a(DE-He213)978-981-10-1506-9
035   $a(MiAaPQ)EBC5091354
035   $a(PPN)220126097
035   $a(EXLCZ)994100000000882508
100   $a20171005d2017      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aFormulation of Statistical Mechanics Based on Thermal Pure Quantum States /$fby Sho Sugiura
205   $a1st ed. 2017.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2017.
215   $a1 online resource (XII, 73 p. 4 illus. in color.) 
225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
311   $a981-10-1505-8 
320   $aIncludes bibliographical references at the end of each chapters.
327   $aIntroduction to thermal pure quantum state formulation of statistical mechanics -- Typicality And Ergodicity -- Canonical Thermal Pure Quantum State -- Microcanonical Thermal Pure Quantum State -- Equilibrium State And Entanglement -- Relation Among TPQ States -- Application To Numerical Calculation -- Conclusion. .
330   $aThis thesis introduces the concept of "thermal pure quantum (TPQ) states", which are pure quantum states in equilibrium. The author establishes a new formulation of statistical mechanics based on the TPQ states. This formulation allows us to obtain not only mechanical variables but also thermodynamic variables such as entropy and free energy from a single TPQ state. Furthermore, the formulation provides a new physical description in which all fluctuations including thermally driven ones are uniquely identified to be quantum fluctuations. The use of TPQ formulation has practical advantages in its application to numerical computations and allows for significant reduction in computation cost in numerics. For demonstration purposes, a numerical computation based on TPQ formulation is applied to a frustrated two-dimensional quantum spin model, and the result is also included in this book. .
410  0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
606   $aQuantum theory
606   $aStatistical physics
606   $aDynamics
606   $aPhase transformations (Statistical physics)
606   $aCondensed matter
606   $aSuperconductivity
606   $aSuperconductors
606   $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080
606   $aComplex Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P33000
606   $aQuantum Gases and Condensates$3https://scigraph.springernature.com/ontologies/product-market-codes/P24033
606   $aStrongly Correlated Systems, Superconductivity$3https://scigraph.springernature.com/ontologies/product-market-codes/P25064
606   $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090
615  0$aQuantum theory.
615  0$aStatistical physics.
615  0$aDynamics.
615  0$aPhase transformations (Statistical physics)
615  0$aCondensed matter.
615  0$aSuperconductivity.
615  0$aSuperconductors.
615 14$aQuantum Physics.
615 24$aComplex Systems.
615 24$aQuantum Gases and Condensates.
615 24$aStrongly Correlated Systems, Superconductivity.
615 24$aStatistical Physics and Dynamical Systems.
676   $a530.12
700   $aSugiura$b Sho$4aut$4http://id.loc.gov/vocabulary/relators/aut$0825106
906   $aBOOK
912   $a9910254587403321
996   $aFormulation of Statistical Mechanics Based on Thermal Pure Quantum States$91835299
997   $aUNINA