000 04262nam a22006615i 4500
001 978-981-10-1506-9
003 DE-He213
005 20210118144346.0
007 cr nn 008mamaa
008 171005s2017 si | s |||| 0|eng d
020 _a9789811015069
_9978-981-10-1506-9
024 7 _a10.1007/978-981-10-1506-9
_2doi
050 4 _aQC173.96-174.52
072 7 _aPHQ
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aPHQ
_2thema
082 0 4 _a530.12
_223
100 1 _aSugiura, Sho.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFormulation of Statistical Mechanics Based on Thermal Pure Quantum States
_h[electronic resource] /
_cby Sho Sugiura.
250 _a1st ed. 2017.
264 1 _aSingapore :
_bSpringer Singapore :
_bImprint: Springer,
_c2017.
300 _aXII, 73 p. 4 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5053
505 0 _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. .
520 _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. .
650 0 _aQuantum physics.
650 0 _aStatistical physics.
650 0 _aDynamical systems.
650 0 _aPhase transformations (Statistical physics).
650 0 _aCondensed materials.
650 0 _aSuperconductivity.
650 0 _aSuperconductors.
650 1 4 _aQuantum Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19080
650 2 4 _aComplex Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P33000
650 2 4 _aQuantum Gases and Condensates.
_0http://scigraph.springernature.com/things/product-market-codes/P24033
650 2 4 _aStrongly Correlated Systems, Superconductivity.
_0http://scigraph.springernature.com/things/product-market-codes/P25064
650 2 4 _aStatistical Physics and Dynamical Systems.
_0http://scigraph.springernature.com/things/product-market-codes/P19090
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789811015052
776 0 8 _iPrinted edition:
_z9789811015076
776 0 8 _iPrinted edition:
_z9789811093708
830 0 _aSpringer Theses, Recognizing Outstanding Ph.D. Research,
_x2190-5053
856 4 0 _uhttps://doi.org/10.1007/978-981-10-1506-9
912 _aZDB-2-PHA
999 _c451504
_d451504
942 _cEB
506 _aAvailable to subscribing member institutions only. Доступно лише організаціям членам підписки.
506 _fOnline access from local network of NaUOA.
506 _fOnline access with authorization at https://link.springer.com/
506 _fОнлайн-доступ з локальної мережі НаУОА.
506 _fОнлайн доступ з авторизацією на https://link.springer.com/