Lectures On The Mathematics Of Quantum Mechanics Ii: Selected Topics (atlantis Studies In Mathematical Physics: Theory And Applications)
by Gianfausto Dell'Antonio /
2016 / English / PDF
3.9 MB Download
The first volume (General Theory) differs from most textbooks as
it emphasizes the mathematical structure and mathematical rigor,
while being adapted to the teaching the first semester of an
advanced course in Quantum Mechanics (the content of the book are
the lectures of courses actually delivered.). It differs also
from the very few texts in Quantum Mechanics that give emphasis
to the mathematical aspects because this book, being written as
Lecture Notes, has the structure of lectures delivered in a
course, namely introduction of the problem, outline of the
relevant points, mathematical tools needed, theorems, proofs.
This makes this book particularly useful for self-study and for
instructors in the preparation of a second course in Quantum
Mechanics (after a first basic course). With some minor additions
it can be used also as a basis of a first course in Quantum
Mechanics for students in mathematics curricula.
The first volume (General Theory) differs from most textbooks as
it emphasizes the mathematical structure and mathematical rigor,
while being adapted to the teaching the first semester of an
advanced course in Quantum Mechanics (the content of the book are
the lectures of courses actually delivered.). It differs also
from the very few texts in Quantum Mechanics that give emphasis
to the mathematical aspects because this book, being written as
Lecture Notes, has the structure of lectures delivered in a
course, namely introduction of the problem, outline of the
relevant points, mathematical tools needed, theorems, proofs.
This makes this book particularly useful for self-study and for
instructors in the preparation of a second course in Quantum
Mechanics (after a first basic course). With some minor additions
it can be used also as a basis of a first course in Quantum
Mechanics for students in mathematics curricula.
The second part (Selected Topics) are lecture notes of a more
advanced course aimed at giving the basic notions necessary to do
research in several areas of mathematical physics connected with
quantum mechanics, from solid state to singular interactions,
many body theory, semi-classical analysis, quantum statistical
mechanics. The structure of this book is suitable for a
second-semester course, in which the lectures are meant to
provide, in addition to theorems and proofs, an overview of a
more specific subject and hints to the direction of research. In
this respect and for the width of subjects this second volume
differs from other monographs on Quantum Mechanics. The second
volume can be useful for students who want to have a basic
preparation for doing research and for instructors who may want
to use it as a basis for the presentation of selected topics.
The second part (Selected Topics) are lecture notes of a more
advanced course aimed at giving the basic notions necessary to do
research in several areas of mathematical physics connected with
quantum mechanics, from solid state to singular interactions,
many body theory, semi-classical analysis, quantum statistical
mechanics. The structure of this book is suitable for a
second-semester course, in which the lectures are meant to
provide, in addition to theorems and proofs, an overview of a
more specific subject and hints to the direction of research. In
this respect and for the width of subjects this second volume
differs from other monographs on Quantum Mechanics. The second
volume can be useful for students who want to have a basic
preparation for doing research and for instructors who may want
to use it as a basis for the presentation of selected topics.