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Softcover ISBN:  9780821829004 
Product Code:  CONM/307 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821878972 
Product Code:  CONM/307.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821829004 
eBook ISBN:  9780821878972 
Product Code:  CONM/307.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 307; 2002; 350 ppMSC: Primary 35; 81; 92; 82
This book contains contributions presented at the conference, “QMath8: Mathematical Results in Quantum Mechanics”, held at Universidad Nacional Autónoma de México in December 2001.
The articles cover a wide range of mathematical problems and focus on various aspects of quantum mechanics, quantum field theory, and nuclear physics. Topics vary from spectral properties of the Schrödinger equation of various quantum systems to the analysis of quantum computation algorithms.
The book is suitable for graduate students and research mathematicians interested in the mathematical aspects of quantum mechanics.
ReadershipGraduate students and research mathematicians interested in quantum mechanics.

Table of Contents

Articles

Riccardo Adami — Blowup for Schrödinger equation with pointwise nonlinearity [ MR 1946010 ]

JeanMarie Barbaroux, Mouez Dimassi and JeanClaude Guillot — Quantum electrodynamics of relativistic bound states with cutoffs. II [ MR 1946011 ]

F. Bentosela and M. Tater — Scattering by a slab: an exact calculation [ MR 1946012 ]

X. Blanc and C. Le Bris — Crystalline order in one dimensional ThomasFermi type models [ MR 1946013 ]

Jean Bourgain — New results on the spectrum of lattice Schrödinger operators and applications [ MR 1946014 ]

A. L. Bukhgeĭm, G. V. Dyatlov and G. Uhlmann — Reconstruction of the memory from partial boundary measurements [ MR 1946015 ]

Rosa E. Cardiel and Pavel I. Naumkin — Asymptotics for nonlinear dissipative equations in the super critical case [ MR 1946016 ]

J.M. Combes, P. D. Hislop and E. Soccorsi — Edge states for quantum Hall Hamiltonians [ MR 1946017 ]

M. Combescure and D. Robert — A semiclassical approach in linear response theory [ MR 1946018 ]

J. CruzSampedro — Wignervon Neumannlike potentials [ MR 1946019 ]

Michael Demuth and André Noll — Equilibrium potentials in scattering theory [ MR 1946020 ]

J. Dittrich and J. Kříž — Straight quantum waveguides with combined boundary conditions [ MR 1946021 ]

Volker Enss, Vadim Kostrykin and Robert Schrader — Perturbation theory for the quantum timeevolution in rotating potentials [ MR 1946022 ]

László Erdős and Vitali Vougalter — Two dimensional Pauli operator via scalar potential [ MR 1946023 ]

Maria J. Esteban and Eric Séré — A maxmin principle for the ground state of the DiracFock functional [ MR 1946024 ]

S. Fournais, M. HoffmannOstenhof, T. HoffmannOstenhof and T. Østergaard Sørensen — On the regularity of the density of electronic wavefunctions [ MR 1946025 ]

Christian Hainzl — Enhanced binding through coupling to a photon field [ MR 1946026 ]

Brian C. Hall and Jeffrey J. Mitchell — The large radius limit for coherent states on spheres [ MR 1946027 ]

I. Herbst and E. Skibsted — Quantum scattering for potentials homogeneous of degree zero [ MR 1946028 ]

Werner Kirsch and Ivan Veselić — Existence of the density of states for onedimensional alloytype potentials with small support [ MR 1946029 ]

Vadim Kostrykin and Robert Schrader — Statistical ensembles and density of states [ MR 1946030 ]

Mikhail Kudryavtsev — The Cauchy problem for the Toda lattice with a class of nonstabilized initial data [ MR 1946031 ]

A. Laptev, S. Naboko and O. Safronov — Absolutely continuous spectrum of Jacobi matrices [ MR 1946032 ]

Elliott H. Lieb and Michael Loss — Stability of matter in relativistic quantum electrodynamics [ MR 1946033 ]

Marius Mǎntoiu and Radu Purice — The algebra of observables in a magnetic field [ MR 1946034 ]

D. B. Pearson — Recent developments in value distribution theory for Schrödinger operators on the half line [ MR 1946035 ]

Didier Robert — Long time propagation results in quantum mechanics [ MR 1946036 ]

Mary Beth Ruskai — Comments on adiabatic quantum algorithms [ MR 1946037 ]

Andrea Sacchetti — Tunneling destruction for a nonlinear Schrödinger equation [ MR 1946038 ]

Robert Seiringer — Symmetry breaking in a model of a rotating Bose gas [ MR 1946039 ]

Stephen Bruce Sontz — Euler’s constant in SegalBargmann analysis [ MR 1946040 ]

A. Tip — Maxwell with a touch of Schrödinger [ MR 1946041 ]

Julio H. Toloza — Exponentially accurate semiclassical asymptotics [ MR 1946042 ]

Cornelis van der Mee and Vjacheslav Pivovarchik — Some properties of the eigenvalues of a Schrödinger equation with energydependent potential [ MR 1946043 ]

Carlos VillegasBlas — The Bargmann transform for $L^2(S^3)$ and regularization of the Kepler problem [ MR 1946044 ]

Kenji Yajima and Guoping Zhang — Schrödinger equations with superquadratic potentials [ MR 1946045 ]

Kazushi Yoshitomi — Band spectrum of the Laplacian on a slab with the Dirichlet boundary condition on a grid [ MR 1946046 ]


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This book contains contributions presented at the conference, “QMath8: Mathematical Results in Quantum Mechanics”, held at Universidad Nacional Autónoma de México in December 2001.
The articles cover a wide range of mathematical problems and focus on various aspects of quantum mechanics, quantum field theory, and nuclear physics. Topics vary from spectral properties of the Schrödinger equation of various quantum systems to the analysis of quantum computation algorithms.
The book is suitable for graduate students and research mathematicians interested in the mathematical aspects of quantum mechanics.
Graduate students and research mathematicians interested in quantum mechanics.

Articles

Riccardo Adami — Blowup for Schrödinger equation with pointwise nonlinearity [ MR 1946010 ]

JeanMarie Barbaroux, Mouez Dimassi and JeanClaude Guillot — Quantum electrodynamics of relativistic bound states with cutoffs. II [ MR 1946011 ]

F. Bentosela and M. Tater — Scattering by a slab: an exact calculation [ MR 1946012 ]

X. Blanc and C. Le Bris — Crystalline order in one dimensional ThomasFermi type models [ MR 1946013 ]

Jean Bourgain — New results on the spectrum of lattice Schrödinger operators and applications [ MR 1946014 ]

A. L. Bukhgeĭm, G. V. Dyatlov and G. Uhlmann — Reconstruction of the memory from partial boundary measurements [ MR 1946015 ]

Rosa E. Cardiel and Pavel I. Naumkin — Asymptotics for nonlinear dissipative equations in the super critical case [ MR 1946016 ]

J.M. Combes, P. D. Hislop and E. Soccorsi — Edge states for quantum Hall Hamiltonians [ MR 1946017 ]

M. Combescure and D. Robert — A semiclassical approach in linear response theory [ MR 1946018 ]

J. CruzSampedro — Wignervon Neumannlike potentials [ MR 1946019 ]

Michael Demuth and André Noll — Equilibrium potentials in scattering theory [ MR 1946020 ]

J. Dittrich and J. Kříž — Straight quantum waveguides with combined boundary conditions [ MR 1946021 ]

Volker Enss, Vadim Kostrykin and Robert Schrader — Perturbation theory for the quantum timeevolution in rotating potentials [ MR 1946022 ]

László Erdős and Vitali Vougalter — Two dimensional Pauli operator via scalar potential [ MR 1946023 ]

Maria J. Esteban and Eric Séré — A maxmin principle for the ground state of the DiracFock functional [ MR 1946024 ]

S. Fournais, M. HoffmannOstenhof, T. HoffmannOstenhof and T. Østergaard Sørensen — On the regularity of the density of electronic wavefunctions [ MR 1946025 ]

Christian Hainzl — Enhanced binding through coupling to a photon field [ MR 1946026 ]

Brian C. Hall and Jeffrey J. Mitchell — The large radius limit for coherent states on spheres [ MR 1946027 ]

I. Herbst and E. Skibsted — Quantum scattering for potentials homogeneous of degree zero [ MR 1946028 ]

Werner Kirsch and Ivan Veselić — Existence of the density of states for onedimensional alloytype potentials with small support [ MR 1946029 ]

Vadim Kostrykin and Robert Schrader — Statistical ensembles and density of states [ MR 1946030 ]

Mikhail Kudryavtsev — The Cauchy problem for the Toda lattice with a class of nonstabilized initial data [ MR 1946031 ]

A. Laptev, S. Naboko and O. Safronov — Absolutely continuous spectrum of Jacobi matrices [ MR 1946032 ]

Elliott H. Lieb and Michael Loss — Stability of matter in relativistic quantum electrodynamics [ MR 1946033 ]

Marius Mǎntoiu and Radu Purice — The algebra of observables in a magnetic field [ MR 1946034 ]

D. B. Pearson — Recent developments in value distribution theory for Schrödinger operators on the half line [ MR 1946035 ]

Didier Robert — Long time propagation results in quantum mechanics [ MR 1946036 ]

Mary Beth Ruskai — Comments on adiabatic quantum algorithms [ MR 1946037 ]

Andrea Sacchetti — Tunneling destruction for a nonlinear Schrödinger equation [ MR 1946038 ]

Robert Seiringer — Symmetry breaking in a model of a rotating Bose gas [ MR 1946039 ]

Stephen Bruce Sontz — Euler’s constant in SegalBargmann analysis [ MR 1946040 ]

A. Tip — Maxwell with a touch of Schrödinger [ MR 1946041 ]

Julio H. Toloza — Exponentially accurate semiclassical asymptotics [ MR 1946042 ]

Cornelis van der Mee and Vjacheslav Pivovarchik — Some properties of the eigenvalues of a Schrödinger equation with energydependent potential [ MR 1946043 ]

Carlos VillegasBlas — The Bargmann transform for $L^2(S^3)$ and regularization of the Kepler problem [ MR 1946044 ]

Kenji Yajima and Guoping Zhang — Schrödinger equations with superquadratic potentials [ MR 1946045 ]

Kazushi Yoshitomi — Band spectrum of the Laplacian on a slab with the Dirichlet boundary condition on a grid [ MR 1946046 ]