東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Formulation of statistical mechanics...

Sugiura, Sho.

Linked to FindBook

Google Book

Amazon

博客來

Formulation of statistical mechanics based on thermal pure quantum states

Record Type:	Electronic resources : Monograph/item
Title/Author:	Formulation of statistical mechanics based on thermal pure quantum states/ by Sho Sugiura.
Author:	Sugiura, Sho.
Published:	Singapore :Springer Singapore : : 2017.,
Description:	xii, 73 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction 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.
Contained By:	Springer eBooks
Subject:	Statistical mechanics. -
Online resource:	http://dx.doi.org/10.1007/978-981-10-1506-9
ISBN:	9789811015069

Formulation of statistical mechanics based on thermal pure quantum states
Sugiura, Sho.

Formulation of statistical mechanics based on thermal pure quantum states[electronic resource] /by Sho Sugiura. - Singapore :Springer Singapore :2017. - xii, 73 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

Introduction 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.

This 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.

ISBN: 9789811015069

Standard No.: 10.1007/978-981-10-1506-9doiSubjects--Topical Terms:

520584
Statistical mechanics.

LC Class. No.: QC174.8

Dewey Class. No.: 530.13

Formulation of statistical mechanics based on thermal pure quantum states
LDR:02200nmm a2200325 a 4500 001 2111134
003 DE-He213
005 20180430120814.0
006 m d
007 cr nn 008maaau
008 180619s2017 si s 0 eng d
020 $a 9789811015069 $q (electronic bk.)
020 $a 9789811015052 $q (paper)
024 7 $a 10.1007/978-981-10-1506-9 $2 doi
035 $a 978-981-10-1506-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.8
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
082 0 4 $a 530.13 $2 23
090 $a QC174.8 $b .S947
100 1 $a Sugiura, Sho. $3 3264901
245 1 0 $a Formulation of statistical mechanics based on thermal pure quantum states $h [electronic resource] / $c by Sho Sugiura.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2017.
300 $a xii, 73 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer theses, $x 2190-5053
505 0 $a Introduction 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 $a This 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 $a Statistical mechanics. $3 520584
650 1 4 $a Physics. $3 516296
650 2 4 $a Quantum Physics. $3 893952
650 2 4 $a Complex Systems. $3 1566441
650 2 4 $a Quantum Gases and Condensates. $3 1244654
650 2 4 $a Strongly Correlated Systems, Superconductivity. $3 1067082
650 2 4 $a Statistical Physics and Dynamical Systems. $3 3135115
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Springer theses. $3 1314442
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-1506-9
950 $a Physics and Astronomy (Springer-11651)