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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
B Factories are particle colliders at which specific subatomic
particles - B mesons - are produced abundantly. The purpose is to
study the properties of their decays in great detail in order to
shed light on a mystery of eminently larger scale: why do we live
in a universe composed of anti-matter? This book introduces readers
to the physics laws of the CP asymmetry, touching on experimental
requirements needed to perform such measurements at the subatomic
level, and illustrating the main findings of the contemporary B
Factories.
The dynamics of quantum systems exposed to ultrafast (at the
femtosecond time-scale) and strong laser radiation has a highly
non-linear character, leading to a number of new phenomena, outside
the reach of traditional spectroscopy. The current laser technology
makes feasible the probing and control of quantum-scale systems
with fields that are as strong as the interatomic Coulombic
interactions and time resolution that is equal to (or less than)
typical atomic evolution times. It is indispensable that any
theoretical description of the induced physical processes should
rely on the accurate calculation of the atomic structure and a
realistic model of the laser radiation as pulsed fields. This book
aims to provide an elementary introduction of theoretical and
computational methods and by no means is anywhere near to complete.
The selection of the topics as well as the particular viewpoint is
best suited for early-stage students and researchers; the included
material belongs in the mainstream of theoretical approaches albeit
using simpler language without sacrificing mathematical accuracy.
Therefore, subjects such as the Hilbert vector-state,
density-matrix operators, amplitude equations, Liouville equation,
coherent laser radiation, free-electron laser, Dyson-chronological
operator, subspace projection, perturbation theory, stochastic
density-matrix equations, time-dependent SchrAdinger equation,
partial-wave analysis, spherical-harmonics expansions, basis and
grid wavefunction expansions, ionization, electron kinetic-energy
and angular distributions are presented within the context of
laser-atom quantum dynamics.
Quantum mechanics - central not only to physics, but also to
chemistry, materials science, and other fields - is notoriously
abstract and difficult. Essential Quantum Mechanics is a uniquely
concise and explanatory book that fills the gap between
introductory and advanced courses, between popularizations and
technical treatises. By focusing on the fundamental structure,
concepts, and methods of quantum mechanics, this introductory yet
sophisticated work emphasizes both physical and mathematical
understanding. A modern perspective is adopted throughout - the
goal, in part, being to gain entry into the world of 'real' quantum
mechanics, as used by practicing scientists. With over 60 original
problems, Essential Quantum Mechanics is suitable as either a text
or a reference. It will be invaluable to physics students as well
as chemists, electrical engineers, philosophers, and others whose
work is impacted by quantum mechanics, or who simply wish to better
understand this fascinating subject.
This book is a sequel to Lectures on Selected Topics in
Mathematical Physics: Introduction to Lie Theory with Applications.
This volume is devoted mostly to Lie groups. Lie algebras and
generating functions, both for standard special functions and for
solution of certain types of physical problems. It is an informal
treatment of these topics intended for physics graduate students or
others with a physics background wanting a brief and informal
introduction to the subjects addressed in a style and vocabulary
not completely unfamiliar.
Quantum Mechanics of Non-Hamiltonian and Dissipative Systems is
self-contained and can be used by students without a previous
course in modern mathematics and physics. The book describes the
modern structure of the theory, and covers the fundamental results
of last 15 years. The book has been recommended by Russian Ministry
of Education as the textbook for graduate students and has been
used for graduate student lectures from 1998 to 2006.
Requires no preliminary knowledge of graduate and advanced
mathematics
Discusses the fundamental results of last 15 years in this
theory
Suitable for courses for undergraduate students as well as
graduate students and specialists in physics mathematics and other
sciences
Despite the success of general relativity in explaining classical
gravitational phenomena, several problems at the interface between
gravitation and high energy physics still remain open. The purpose
of this thesis is to explore quantum gravity and its
phenomenological consequences for dark matter, gravitational waves
and inflation. A new formalism to classify gravitational theories
based on their degrees of freedom is introduced and, in light of
this classification, it is argued that dark matter is no different
from modified gravity. Gravitational waves are shown to be damped
due to quantum degrees of freedom. The consequences for
gravitational wave events are also discussed. The non-minimal
coupling of the Higgs boson to gravity is studied in connection
with Starobinsky inflation and its implications for the vacuum
instability problem is analyzed.
This PhD thesis is dedicated to a subfield of elementary particle
physics called "Flavour Physics". The Standard Model of Particle
Physics (SM) has been confirmed by thousands of experimental
measurements with a high precision. But the SM leaves important
questions open, like what is the nature of dark matter or what is
the origin of the matter-antimatter asymmetry in the Universe. By
comparing high precision Standard Model calculations with extremely
precise measurements, one can find the first glimpses of the
physics beyond the SM - currently we see the first hints of a
potential breakdown of the SM in flavour observables. This can then
be compared with purely theoretical considerations about new
physics models, known as model building. Both precision
calculations and model building are extremely specialised fields
and this outstanding thesis contributes significantly to both
topics within the field of Flavour Physics and sheds new light on
the observed anomalies.
Combinatorial Kalman filters are a standard tool today for pattern
recognition and charged particle reconstruction in high energy
physics. In this thesis the implementation of the track finding
software for the Belle II experiment and first studies on early
Belle II data are presented. The track finding algorithm exploits
novel concepts such as multivariate track quality estimates to form
charged trajectory hypotheses combining information from the Belle
II central drift chamber with the inner vertex sub-detectors. The
eventual track candidates show an improvement in resolution on the
parameters describing their spatial and momentum properties by up
to a factor of seven over the former legacy implementation. The
second part of the thesis documents a novel way to determine the
collision event null time T0 and the implementation of optimisation
steps in the online reconstruction code, which proved crucial in
overcoming the high level trigger limitations.
The first of its kind to explore the Nobel Prize experience
"Dad, some guy is calling from Sweden." It was 2:30am on October
13th, 1998, the youngest son in the Laughlin house had answered the
phone. His dad had just become a recipient of the Nobel Prize in
physics.
Frantic and funny events of the next two months are chronicled
as the Laughlin's academic household morphs into a madcap staging
area for the family and thirty guests who will be in attendance
during Nobel week. From tickets to Stockholm to clothing
measurements, Nobel lecture preparations, attach assistance and a
quick trip to the White House for a formal reception with President
and Mrs. Clinton, readers will laugh out loud while gasping in
awe.
The glorious Nobel ceremony and elaborate banquet is held each
winter with a viewing audience of tens of millions. An intimate
dinner with King Gustaf in his royal palace follows the Nobel
evening in which Anita Laughlin finds herself the King's dinner
partner for what becomes an evening of hilarious surprises, and
yes, reindeer.
This book is laced with cartoons drawn by Bob Laughlin that
evoke collective feelings of surprise and bewilderment as he and
his wife ascend the steep learning curve of Swedish protocol
together.
In 1941, E.C.G. Stueckelberg wrote a paper, based on ideas of V.
Fock, that established the foundations of a theory that could
covariantly describe the classical and quantum relativistic
mechanics of a single particle. Horwitz and Piron extended the
applicability of this theory in 1973 (to be called the SHP theory)
to the many-body problem. It is the purpose of this book to explain
this development and provide examples of its applications. We first
review the basic ideas of the SHP theory, both classical and
quantum, and develop the appropriate form of electromagnetism on
this dynamics. After studying the two body problem classically and
quantum mechanically, we formulate the N-body problem. We then
develop the general quantum scattering theory for the N-body
problem and prove a quantum mechanical relativistically covariant
form of the Gell-Mann-Low theorem. The quantum theory of
relativistic spin is then developed, including spin-statistics,
providing the necessary apparatus for Clebsch-Gordan additivity,
and we then discuss the phenomenon of entanglement at unequal
times. In the second part, we develop relativistic statistical
mechanics, including a mechanism for stability of the off-shell
mass, and a high temperature phase transition to the mass shell.
Finally, some applications are given, such as the explanation of
the Lindneret alexperiment, the proposed experiment of Palacios et
al which should demonstrate relativistic entanglement (at unequal
times), the space-time lattice, low energy nuclear reactions and
applications to black hole physics.
In a comprehensive treatment of Statistical Mechanics from
thermodynamics through the renormalization group, this book serves
as the core text for a full-year graduate course in statistical
mechanics at either the Masters or Ph.D. level. Each chapter
contains numerous exercises, and several chapters treat special
topics which can be used as the basis for student projects. The
concept of scaling is introduced early and used extensively
throughout the text. At the heart of the book is an extensive
treatment of mean field theory, from the simplest decoupling
approach, through the density matrix formalism, to self-consistent
classical and quantum field theory as well as exact solutions on
the Cayley tree. Proceeding beyond mean field theory, the book
discusses exact mappings involving Potts models, percolation,
self-avoiding walks and quenched randomness, connecting various
athermal and thermal models. Computational methods such as series
expansions and Monte Carlo simulations are discussed, along with
exact solutions to the 1D quantum and 2D classical Ising models.
The renormalization group formalism is developed, starting from
real-space RG and proceeding through a detailed treatment of
Wilson's epsilon expansion. Finally the subject of
Kosterlitz-Thouless systems is introduced from a historical
perspective and then treated by methods due to Anderson,
Kosterlitz, Thouless and Young. Altogether, this comprehensive,
up-to-date, and engaging text offers an ideal package for advanced
undergraduate or graduate courses or for use in self study.
This book revisits many of the problems encountered in introductory
quantum mechanics, focusing on computer implementations for finding
and visualizing analytical and numerical solutions. It subsequently
uses these implementations as building blocks to solve more complex
problems, such as coherent laser-driven dynamics in the Rubidium
hyperfine structure or the Rashba interaction of an electron moving
in 2D. The simulations are highlighted using the programming
language Mathematica. No prior knowledge of Mathematica is needed;
alternatives, such as Matlab, Python, or Maple, can also be used.
Classical Mechanics teaches readers how to solve physics problems;
in other words, how to put math and physics together to obtain a
numerical or algebraic result and then interpret these results
physically. These skills are important and will be needed in more
advanced science and engineering courses. However, more important
than developing problem-solving skills and physical-interpretation
skills, the main purpose of this multi-volume series is to survey
the basic concepts of classical mechanics and to provide the reader
with a solid understanding of the foundational content knowledge of
classical mechanics. Classical Mechanics: Conservation laws and
rotational motion covers the conservation of energy and the
conservation of momentum, which are crucial concepts in any physics
course. It also introduces the concepts of center-of-mass and
rotational motion.
"The standard work in the fundamental principles of quantum
mechanics, indispensable both to the advanced student and to the
mature research worker, who will always find it a fresh source of
knowledge and stimulation." --Nature "This is the classic text on
quantum mechanics. No graduate student of quantum theory should
leave it unread"--W.C Schieve, University of Texas
A deeper understanding of neutrinos, with the goal to reveal their
nature and exact role within particle physics, is at the frontier
of current research. This book reviews the field in a concise
fashion and highlights the most pressing issues and areas of
strongest topical interest. It provides a clear, self-contained,
and logical treatment of the fundamental physics aspects,
appropriate for graduate students. Starting with the relevant
basics of the SM, neutrinos are introduced, and the quantum
mechanical effect of oscillations is explained in detail. A strong
focus is then set on the phenomenon of lepton number violation,
especially in 0nbb decay, as the crucial probe to understand the
nature of neutrinos. The role of neutrinos in astrophysics,
expected to be of increasing importance for future research, is
then described. Finally, models to explain the neutrino properties
are outlined. The central theme of the book is the nature of
neutrino masses and the above topics will revolve around this
issue.
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