vi
Preface
advanced courses in quantum mechanics of open many-body systems, or the theory
of weakly bound or unbound nuclear and atomic systems.
The difficulty of exercises is in the scale from one star (simple exercise) to
three stars (difficult exercise of technical nature). All problems given in exercises
are being solved or commented. We hope that these exercises will provide a
better understanding of the foundations of the Gamow shell model and explain
various methods to calculate observable quantities related to resonances. Some
difficult exercises have been included to introduce reader to additional details of
the theory which are omitted from the main part of the textbook. Note however
that in principle the material presented in this book should be accessible without
specialized background other than the advanced courses on quantum mechanics
and quantum many-body theory, and a basic course on nuclear physics. Also the
mathematical parts do not require more than the graduate level on the functional
analysis, linear algebra, and the theory of differential equations. It should be noted
that the important part of this textbook can be read and understand with the
background in mathematics and quantum mechanics at the undergraduate level.
Even if the precise examples are rather specific to gain homogeneity and
complete the basic course, the approach and results developed in this book are by no
means attached to a field of nuclear physics. Applications exist and are possible in
atomic physics, molecular physics, nanoscience, to cite just a few the most evident
areas.
It is impossible to acknowledge all influences on our present understanding
and ideas that we have profited from our collaborators and other theorists who
contributed with discussion, opposition, and alternative points of view. We thank
in particular Witek Nazarewicz for the long-term exciting and intense collaboration
which lead to the formulation of Gamow shell model and its further developments.
This book would never be completed without the significant contribution of our
long-time collaborators at GANIL, Oak Ridge National Laboratory and Michigan
State University. Here we want to acknowledge in particular Kevin Fossez, Yannen
Jaganathen, Alexis Mercenne, George Papadimitriou, Jimmy Rotureau, and Simin
Wang.
We would like to thank warmly our friends and collaborators: Bruce R. Barrett,
Karim Bennaceur, Jacek Dobaczewski, Jorge Dukelsky, W. Ray Garrett, Morten
Hjorth-Jensen, Kiyoshi Kato, Jacek Okołowicz, Ingrid Rotter, Tamas Vertse, Furong
Xu, and Wei Zuo for many discussions and friendly exchanges.
We also gratefully acknowledge the support and encouragement we have
received at GANIL, Caen and Institute of Modern Physics, Lanzhou throughout
the preparation of this book.
Caen, Lanzhou
Nicolas Michel Marek Płoszajczak
December 2020
Preface
advanced courses in quantum mechanics of open many-body systems, or the theory
of weakly bound or unbound nuclear and atomic systems.
The difficulty of exercises is in the scale from one star (simple exercise) to
three stars (difficult exercise of technical nature). All problems given in exercises
are being solved or commented. We hope that these exercises will provide a
better understanding of the foundations of the Gamow shell model and explain
various methods to calculate observable quantities related to resonances. Some
difficult exercises have been included to introduce reader to additional details of
the theory which are omitted from the main part of the textbook. Note however
that in principle the material presented in this book should be accessible without
specialized background other than the advanced courses on quantum mechanics
and quantum many-body theory, and a basic course on nuclear physics. Also the
mathematical parts do not require more than the graduate level on the functional
analysis, linear algebra, and the theory of differential equations. It should be noted
that the important part of this textbook can be read and understand with the
background in mathematics and quantum mechanics at the undergraduate level.
Even if the precise examples are rather specific to gain homogeneity and
complete the basic course, the approach and results developed in this book are by no
means attached to a field of nuclear physics. Applications exist and are possible in
atomic physics, molecular physics, nanoscience, to cite just a few the most evident
areas.
It is impossible to acknowledge all influences on our present understanding
and ideas that we have profited from our collaborators and other theorists who
contributed with discussion, opposition, and alternative points of view. We thank
in particular Witek Nazarewicz for the long-term exciting and intense collaboration
which lead to the formulation of Gamow shell model and its further developments.
This book would never be completed without the significant contribution of our
long-time collaborators at GANIL, Oak Ridge National Laboratory and Michigan
State University. Here we want to acknowledge in particular Kevin Fossez, Yannen
Jaganathen, Alexis Mercenne, George Papadimitriou, Jimmy Rotureau, and Simin
Wang.
We would like to thank warmly our friends and collaborators: Bruce R. Barrett,
Karim Bennaceur, Jacek Dobaczewski, Jorge Dukelsky, W. Ray Garrett, Morten
Hjorth-Jensen, Kiyoshi Kato, Jacek Okołowicz, Ingrid Rotter, Tamas Vertse, Furong
Xu, and Wei Zuo for many discussions and friendly exchanges.
We also gratefully acknowledge the support and encouragement we have
received at GANIL, Caen and Institute of Modern Physics, Lanzhou throughout
the preparation of this book.
Caen, Lanzhou
Nicolas Michel Marek Płoszajczak
December 2020