國立虎尾科技大學 |

Advances in quantum mechanics = contemporary trends and open problems /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Advances in quantum mechanics/ edited by Alessandro Michelangeli, Gianfausto Dell'Antonio.
其他題名:	contemporary trends and open problems /
其他作者:	Michelangeli, Alessandro.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	ix, 293 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Quantum theory. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-58904-6
ISBN:	9783319589046

Advances in quantum mechanics = contemporary trends and open problems /
Advances in quantum mechanicscontemporary trends and open problems /[electronic resource] :edited by Alessandro Michelangeli, Gianfausto Dell'Antonio. - Cham :Springer International Publishing :2017. - ix, 293 p. :ill., digital ;24 cm. - Springer INdAM series,v.182281-518X ;. - Springer INdAM series ;v.6..

1 Shell interactions for Dirac operators -- 2 Correlation inequalities for classical and quantum XY models -- 3 Dissipatively generated entanglement -- 4 Abelian gauge potentials on cubic lattices -- 5 Relative-Zeta and Casimir energy for a semitransparent hyperplane selecting transverse modes -- 6 Analysis of fluctuations around non-linear effective dynamics -- 7 Logarithmic Sobolev inequalities for an ideal Bose gas -- 8 Spherical Schrodinger Hamiltonians: spectral analysis and time decay -- 9 On the Ground state for the NLS equation on a general graph -- 10 Self-adjoint extensions of the Dirac operator with Coulomb potential -- 11 Dispersive estimates for Schrodinger operators with point interactions in R3 -- 12 Chern and Fu-Kane-Mele invariants as topological obstructions -- 13 Norm approximation for many-body quantum dynamics and Bogoliubov theory -- 14 Effective non-linear dynamics of binary condensates and open problems -- 15 Remarks on the derivation of the Gross-Pitaevskii equation with magnetic Laplacian -- 16 On the inverse spectral problems for quantum graphs -- 17 Double-barrier resonances and time decay of the survival probability: a toy model.

This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific mathematical tools needed, including: linear and non-linear Schrodinger equations, topological invariants, non-commutative geometry, resonances and operator extension theory, among others. Most of contributors are international leading experts or respected young researchers in mathematical physics, PDE, and operator theory. All their material is the fruit of recent studies that have already become a reference in the community. Offering a unified perspective of the mathematics of quantum mechanics, it is a valuable resource for researchers in the field.

ISBN: 9783319589046

Standard No.: 10.1007/978-3-319-58904-6doiSubjects--Topical Terms:

568041
Quantum theory.

LC Class. No.: QC174.12 / .A38 2017

Dewey Class. No.: 530.12

Advances in quantum mechanics = contemporary trends and open problems /
LDR:03103nam a2200325 a 4500 001 923752
003 DE-He213
005 20180319163131.0
006 m d
007 cr nn 008maaau
008 190625s2017 gw s 0 eng d
020 $a 9783319589046 $q (electronic bk.)
020 $a 9783319589039 $q (paper)
024 7 $a 10.1007/978-3-319-58904-6 $2 doi
035 $a 978-3-319-58904-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.12 $b .A38 2017
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 530.12 $2 23
090 $a QC174.12 $b .A244 2017
245 0 0 $a Advances in quantum mechanics $h [electronic resource] : $b contemporary trends and open problems / $c edited by Alessandro Michelangeli, Gianfausto Dell'Antonio.
260 $a Cham : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
300 $a ix, 293 p. : $b ill., digital ; $c 24 cm.
490 1 $a Springer INdAM series, $x 2281-518X ; $v v.18
505 0 $a 1 Shell interactions for Dirac operators -- 2 Correlation inequalities for classical and quantum XY models -- 3 Dissipatively generated entanglement -- 4 Abelian gauge potentials on cubic lattices -- 5 Relative-Zeta and Casimir energy for a semitransparent hyperplane selecting transverse modes -- 6 Analysis of fluctuations around non-linear effective dynamics -- 7 Logarithmic Sobolev inequalities for an ideal Bose gas -- 8 Spherical Schrodinger Hamiltonians: spectral analysis and time decay -- 9 On the Ground state for the NLS equation on a general graph -- 10 Self-adjoint extensions of the Dirac operator with Coulomb potential -- 11 Dispersive estimates for Schrodinger operators with point interactions in R3 -- 12 Chern and Fu-Kane-Mele invariants as topological obstructions -- 13 Norm approximation for many-body quantum dynamics and Bogoliubov theory -- 14 Effective non-linear dynamics of binary condensates and open problems -- 15 Remarks on the derivation of the Gross-Pitaevskii equation with magnetic Laplacian -- 16 On the inverse spectral problems for quantum graphs -- 17 Double-barrier resonances and time decay of the survival probability: a toy model.
520 $a This volume collects recent contributions on the contemporary trends in the mathematics of quantum mechanics, and more specifically in mathematical problems arising in quantum many-body dynamics, quantum graph theory, cold atoms, unitary gases, with particular emphasis on the developments of the specific mathematical tools needed, including: linear and non-linear Schrodinger equations, topological invariants, non-commutative geometry, resonances and operator extension theory, among others. Most of contributors are international leading experts or respected young researchers in mathematical physics, PDE, and operator theory. All their material is the fruit of recent studies that have already become a reference in the community. Offering a unified perspective of the mathematics of quantum mechanics, it is a valuable resource for researchers in the field.
650 0 $a Quantum theory. $3 568041
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Operator Theory. $3 672127
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 768900
650 2 4 $a Applications of Mathematics. $3 669175
700 1 $a Michelangeli, Alessandro. $3 1200315
700 1 $a Dell'Antonio, Gianfausto. $3 1109555
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Springer INdAM series ; $v v.6. $3 1025170
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-58904-6
950 $a Mathematics and Statistics (Springer-11649)