The Theoretical Foundations of Quantum Mechanics addresses fundamental issues that are not discussed in most books on quantum mechanics. This book focuses on analyzing the underlying principles of quantum mechanics and explaining the conceptual and theoretical underpinning of quantum mechanics. In particular, the concepts of quantum indeterminacy, quantum measurement and quantum superposition are analyzed to clarify the concepts that are implicit in the formulation of quantum mechanics. The Schrodinger equation is never solved in the book. Rather, the discussion on the fundamentals of quantum mechanics is treated in a rigorous manner based on the mathematics of quantum mechanics. The new concept of the interplay of empirical and trans-empirical constructs in quantum mechanics is introduced to clarify the foundations of quantum mechanics and to explain the counter-intuitive construction of nature in quantum mechanics. The Theoretical Foundations of Quantum Mechanics is aimed at the advanced undergraduate and assumes introductory knowledge of quantum mechanics. Its objective is to provide a solid foundation for the reader to reach a deeper understanding of the principles of quantum mechanics.
Historically, the study of corporate social responsibility (CSR) reporting has largely been within the context of Western economies. However, in the wake of highly publicized incidents such as Bhopal and the struggle of the Ogoni people in Nigeria, many large corporations now claim to be taking steps to improve their environmental and social performance within developing countries. Using the lens of stakeholder theory, this book examines whether the current practice of CSR reporting in developing countries is motivated by a desire to discharge accountability to all relevant stakeholders or whether it is being driven by the imperative of advancing corporate economic interests. While concepts like CSR reporting have become more fashionable, they vary widely in different national contexts; this book therefore clarifies the types and roles of CSR reporting and the underlying corporate motivations. The author considers the current CSR reporting practices in a number of developing countries, with particular attention given to illuminating a case study of Bangladesh.
The economic crisis of 2008 has shown that the capital markets need new theoretical and mathematical concepts to describe and price financial instruments. Focusing on interest rates and coupon bonds, this book does not employ stochastic calculus – the bedrock of the present day mathematical finance – for any of the derivations. Instead, it analyzes interest rates and coupon bonds using quantum finance. The Heath-Jarrow-Morton and the Libor Market Model are generalized by realizing the forward and Libor interest rates as an imperfectly correlated quantum field. Theoretical models have been calibrated and tested using bond and interest rates market data. Building on the principles formulated in the author's previous book (Quantum Finance, Cambridge University Press, 2004) this ground-breaking book brings together a diverse collection of theoretical and mathematical interest rate models. It will interest physicists and mathematicians researching in finance, and professionals working in the finance industry.
Why'? Why is the world, the Universe the way it is? Is space infinitely large? How small is small? What happens when one continues to divide matter into ever smaller pieces? Indeed, what is matter? Is there anything else besides what can be seen? Pursuing the questions employing the leading notions of physics, one soon finds that the tangible and visible world dissolves — rather unexpectedly — into invisible things and domains that are beyond direct perception. A remarkable feature of our Universe is that most of its constituents turn out to be invisible, and this fact is brought out with great force by this book.Exploring the Invisible Universe covers the gamut of topics in advanced modern physics and provides extensive and well substantiated answers to these questions and many more. Discussed in a non-technical, yet also non-trivial manner, are topics dominated by invisible things — such as Black Holes and Superstrings as well as Fields, Gravitation, the Standard Model, Cosmology, Relativity, the Origin of Elements, Stars and Planetary Evolution, and more. Just giving the answer, as so many books do, is really not telling anything at all. To truly answer the 'why' questions of nature, one needs to follow the chain of reasoning that scientists have used to come to the conclusions they have. This book does not shy away from difficult-to-explain topics by reducing them to one-line answers and power phrases suitable for a popular talk show. The explanations are rigorous and straight to the point. This book is rarely mathematical without being afraid, however, to use elementary mathematics when called for. In order to achieve this, a large number of detailed figures, specially developed for this book and found nowhere else, convey insights that otherwise might either be inaccessible or need lengthy and difficult-to-follow explanations.After Exploring the Invisible Universe, a reader will have a deeper insight into our current understanding of the foundations of Nature and be able to answer all the questions above and then some. To understand Nature and the cutting edge ideas of contemporary physics, this is the book to have.
Sleep is an important phenomenon in everyone’s life. We spend one-third of our life sleeping. Lack of sleep may result in several sleeping disorders which can affect the mental, emotional and physical well-being. In this research, a disease known as Insomnia will be discussed. Normally, dreaming is an activity which is taking place in mind while the body is at rest. Insomnia, or sleeplessness, is a sleep disorder of being unable to fall asleep or to stay asleep as long as desired. A person suffering from Insomnia wakes up early or frequently during the night and feels exhausted, slow and is unable to concentrate. The various stages of sleep and the systems affecting the human body will be discussed in detail. The various symptoms, their causes and the respective treatment are also part of this study. Moreover, a time-frequency analysis of EEG signals is necessary. The electrical and chemical activities of the brain change in the presence of sleep disorder. These changes affect the waveform of the EEG signal and help to detect those disorders. In this work, the use of a short time-frequency analysis applied on Electroencephalogram (EEG) Signals is made for diagnosing Insomnia. A comparison between the normalized powers of the two types of patients, i.e. normal patient and Insomnia patient, is drawn to achieve meaningful results.
An introduction to how the mathematical tools from quantum field theory can be applied to economics and finance, providing a wide range of quantum mathematical techniques for designing financial instruments. The ideas of Lagrangians, Hamiltonians, state spaces, operators and Feynman path integrals are demonstrated to be the mathematical underpinning of quantum field theory, and which are employed to formulate a comprehensive mathematical theory of asset pricing as well as of interest rates, which are validated by empirical evidence. Numerical algorithms and simulations are applied to the study of asset pricing models as well as of nonlinear interest rates. A range of economic and financial topics are shown to have quantum mechanical formulations, including options, coupon bonds, nonlinear interest rates, risky bonds and the microeconomic action functional. This is an invaluable resource for experts in quantitative finance and in mathematics who have no specialist knowledge of quantum field theory.
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