東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Coherent states and applications in ...

Robert, Didier.

FindBook

Google Book

Amazon

博客來

Coherent states and applications in mathematical physics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Coherent states and applications in mathematical physics/ by Didier Robert, Monique Combescure.
作者:	Robert, Didier.
其他作者:	Combescure, Monique.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	xvii, 577 p. :ill. (some col.), digital ;24 cm.
內容註:	The standard coherent states of quantum mechanics -- The Weyl-Heisenberg group and the coherent states of arbitrary profile -- The coherent states of the Harmonic Oscillator -- From Schrodinger to Fock-Bargmann representation -- Weyl quantization and coherent states: Classical and Quantum observables -- Wigner function -- Coherent states and operator norm estimates -- Product rule and applications -- Husimi functions, frequency sets and propagation -- The Wick and anti-Wick quantization -- The generalized coherent states in the sense of Perelomov -- The SU(1,1) coherent states: Definition and properties -- The squeezed states -- The SU(2) coherent states -- The quantum quadratic Hamiltonians: The propagator of quadratic quantum Hamiltonians -- The metaplectic transformations -- The propagation of coherent states -- Representation of the Weyl symbols of the metaplectic operators -- The semiclassical evolution of coherent states -- The van Vleck and Hermann-Kluk approximations -- The semiclassical Gutzwiller trace formula using coherent states decomposition -- The hydrogen atom coherent states: Definition and properties -- The localization around Kepler orbits -- The quantum singular oscillator: The two-body case -- The N-body case.
Contained By:	Springer Nature eBook
標題:	Coherent states. -
電子資源:	https://doi.org/10.1007/978-3-030-70845-0
ISBN:	9783030708450

Coherent states and applications in mathematical physics
Robert, Didier.

Coherent states and applications in mathematical physics[electronic resource] /by Didier Robert, Monique Combescure. - Second edition. - Cham :Springer International Publishing :2021. - xvii, 577 p. :ill. (some col.), digital ;24 cm. - Theoretical and mathematical physics,1864-5879. - Theoretical and mathematical physics..

The standard coherent states of quantum mechanics -- The Weyl-Heisenberg group and the coherent states of arbitrary profile -- The coherent states of the Harmonic Oscillator -- From Schrodinger to Fock-Bargmann representation -- Weyl quantization and coherent states: Classical and Quantum observables -- Wigner function -- Coherent states and operator norm estimates -- Product rule and applications -- Husimi functions, frequency sets and propagation -- The Wick and anti-Wick quantization -- The generalized coherent states in the sense of Perelomov -- The SU(1,1) coherent states: Definition and properties -- The squeezed states -- The SU(2) coherent states -- The quantum quadratic Hamiltonians: The propagator of quadratic quantum Hamiltonians -- The metaplectic transformations -- The propagation of coherent states -- Representation of the Weyl symbols of the metaplectic operators -- The semiclassical evolution of coherent states -- The van Vleck and Hermann-Kluk approximations -- The semiclassical Gutzwiller trace formula using coherent states decomposition -- The hydrogen atom coherent states: Definition and properties -- The localization around Kepler orbits -- The quantum singular oscillator: The two-body case -- The N-body case.

This second edition of the outstanding monograph on coherent states by Combescure and Robert published in 2012 is enriched with figures, historical information and numerical simulations and enlarged with five new chapters presenting important rigorous results obtained in the recent years. The new chapters include various applications such as to the time dependent Schroedinger equation and the Ehrenfest time, to the growth of norms and energy exchanges, to chaotic systems and classical systems with quantum ergodic behavior, and to open quantum systems, and to adiabatic decoupling for multicomponent systems Overall, this book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution of coherent states to various specific examples of coherent states (hydrogen atom, quantum oscillator, etc.) It goes beyond existing books on coherent states in terms of a rigorous mathematical framework.

ISBN: 9783030708450

Standard No.: 10.1007/978-3-030-70845-0doiSubjects--Topical Terms:

604812
Coherent states.

LC Class. No.: QC6.4.C56 / R63 2021

Dewey Class. No.: 530.15

Coherent states and applications in mathematical physics
LDR:03650nmm a2200349 a 4500 001 2240959
003 DE-He213
005 20210525124923.0
006 m d
007 cr nn 008maaau
008 211111s2021 sz s 0 eng d
020 $a 9783030708450 $q (electronic bk.)
020 $a 9783030708443 $q (paper)
024 7 $a 10.1007/978-3-030-70845-0 $2 doi
035 $a 978-3-030-70845-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QC6.4.C56 $b R63 2021
072 7 $a PHQ $2 bicssc
072 7 $a SCI057000 $2 bisacsh
072 7 $a PHQ $2 thema
082 0 4 $a 530.15 $2 23
090 $a QC6.4.C56 $b R639 2021
100 1 $a Robert, Didier. $3 746455
245 1 0 $a Coherent states and applications in mathematical physics $h [electronic resource] / $c by Didier Robert, Monique Combescure.
250 $a Second edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xvii, 577 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Theoretical and mathematical physics, $x 1864-5879
505 0 $a The standard coherent states of quantum mechanics -- The Weyl-Heisenberg group and the coherent states of arbitrary profile -- The coherent states of the Harmonic Oscillator -- From Schrodinger to Fock-Bargmann representation -- Weyl quantization and coherent states: Classical and Quantum observables -- Wigner function -- Coherent states and operator norm estimates -- Product rule and applications -- Husimi functions, frequency sets and propagation -- The Wick and anti-Wick quantization -- The generalized coherent states in the sense of Perelomov -- The SU(1,1) coherent states: Definition and properties -- The squeezed states -- The SU(2) coherent states -- The quantum quadratic Hamiltonians: The propagator of quadratic quantum Hamiltonians -- The metaplectic transformations -- The propagation of coherent states -- Representation of the Weyl symbols of the metaplectic operators -- The semiclassical evolution of coherent states -- The van Vleck and Hermann-Kluk approximations -- The semiclassical Gutzwiller trace formula using coherent states decomposition -- The hydrogen atom coherent states: Definition and properties -- The localization around Kepler orbits -- The quantum singular oscillator: The two-body case -- The N-body case.
520 $a This second edition of the outstanding monograph on coherent states by Combescure and Robert published in 2012 is enriched with figures, historical information and numerical simulations and enlarged with five new chapters presenting important rigorous results obtained in the recent years. The new chapters include various applications such as to the time dependent Schroedinger equation and the Ehrenfest time, to the growth of norms and energy exchanges, to chaotic systems and classical systems with quantum ergodic behavior, and to open quantum systems, and to adiabatic decoupling for multicomponent systems Overall, this book presents the various types of coherent states introduced and studied in the physics and mathematics literature and describes their properties together with application to quantum physics problems. It is intended to serve as a compendium on coherent states and their applications for physicists and mathematicians, stretching from the basic mathematical structures of generalized coherent states in the sense of Perelomov via the semiclassical evolution of coherent states to various specific examples of coherent states (hydrogen atom, quantum oscillator, etc.) It goes beyond existing books on coherent states in terms of a rigorous mathematical framework.
650 0 $a Coherent states. $3 604812
650 0 $a Mathematical physics. $3 516853
650 1 4 $a Quantum Physics. $3 893952
650 2 4 $a Quantum Optics. $3 1066480
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 1566152
700 1 $a Combescure, Monique. $3 3496365
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Theoretical and mathematical physics. $3 1566264
856 4 0 $u https://doi.org/10.1007/978-3-030-70845-0
950 $a Physics and Astronomy (SpringerNature-11651)