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The Resource Advances in Quantum Mechanics : Contemporary Trends and Open Problems, edited by Alessandro Michelangeli, Gianfausto Dell'Antonio, (electronic resource)

Advances in Quantum Mechanics : Contemporary Trends and Open Problems, edited by Alessandro Michelangeli, Gianfausto Dell'Antonio, (electronic resource)

Label
Advances in Quantum Mechanics : Contemporary Trends and Open Problems
Title
Advances in Quantum Mechanics
Title remainder
Contemporary Trends and Open Problems
Statement of responsibility
edited by Alessandro Michelangeli, Gianfausto Dell'Antonio
Contributor
Editor
Subject
Language
eng
Summary
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 Schrödinger 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.--
Member of
Assigning source
Provided by publisher
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Michelangeli, Alessandro
  • Dell'Antonio, Gianfausto
Series statement
  • Springer eBooks
  • Springer INdAM Series,
Series volume
18
http://library.link/vocab/subjectName
  • Mathematics
  • Functional analysis
  • Operator theory
  • Applied mathematics
  • Engineering mathematics
  • Mathematical physics
  • Physics
Label
Advances in Quantum Mechanics : Contemporary Trends and Open Problems, edited by Alessandro Michelangeli, Gianfausto Dell'Antonio, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-58904-6
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 Schrödinger 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 Schrödinger 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
Control code
978-3-319-58904-6
Dimensions
unknown
Extent
1 online resource (IX, 293 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319589046
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-58904-6
Other physical details
14 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1000037912
Label
Advances in Quantum Mechanics : Contemporary Trends and Open Problems, edited by Alessandro Michelangeli, Gianfausto Dell'Antonio, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-58904-6
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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 Schrödinger 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 Schrödinger 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
Control code
978-3-319-58904-6
Dimensions
unknown
Extent
1 online resource (IX, 293 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319589046
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-58904-6
Other physical details
14 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1000037912

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