This book is aimed at those readers who already have some knowledge of mathematical methods and have also been introduced to the basic ideas of quantum optics. It should be attractive to students who have already explored one of the more introductory texts such as Loudon's The quantum theory of light (2/e, 1983, OUP) and are seeking to acquire the mathematical skills used in real problems. This book is not primarily about the physics of quantum optics but rather presents the mathematical methods widely used by workers in this field. There is no comparable book which covers either the range or the depth of mathematical techniques.

Spin angular momentum of photons and the associated polarization of light has been known for many years. However, it is only over the last decade or so that physically realizable laboratory light beams have been used to study the orbital angular momentum of light. In many respects, orbital and spin angular momentum behave in a similar manner, but they differ significantly in others. In particular, orbital angular momentum offers exciting new possibilities with respect to the optical manipulation of matter and to the study of the entanglement of photons. Bringing together 44 landmark papers, Optical Angular Momentum offers the first comprehensive overview of the subject as it has developed. It chronicles the first decade of this important subject and gives a definitive statement of the current status of all aspects of optical angular momentum. In each chapter the editors include a concise introduction, putting the selected papers into context and outlining the key articles associated with this aspect of the subject.

Conventional wisdom holds that robust enforcement of intellectual property (IP) right suppress competition and innovation by shielding incumbents against the entry threats posed by smaller innovators. That assumption has driven mostly successful efforts to weaken US patent protections for over a decade. This book challenges that assumption. In Innovators, Firms, and Markets, Jonathan M. Barnett confronts the reigning policy consensus by analyzing the relationship between IP rights, firm organization, and market structure. Integrating tools and concepts from IP and antitrust law, institutional economics, and political science, real-world understandings of technology markets, and empirical insights from the economic history of the US patent system, Barnett provides a novel framework for IP policy analysis. His cohesive framework explains how robust enforcement of IP rights enables entrepreneurial firms, which are rich in ideas but poor in capital, to secure outside investment and form the cooperative relationships needed to transform a breakthrough innovation into a marketable product. The history of the US patent system and firms' lobbying tendencies show that weakening patent protections removes a critical tool for entrants to challenge incumbents that enjoy difficult-to-match commercialization and financing capacities. Counterintuitively, the book demonstrates that weak IP rights are often the best entry barrier the state can provide to protect entrenched incumbents against disruptive innovators. By challenging common assumptions and offering a powerful integrated framework for understanding how innovation happens and the law's role in that process, Barnett's Innovators, Firms, and Markets provides important insights into how IP law shapes our economy.

Spin angular momentum of photons and the associated polarization of light has been known for many years. However, it is only over the last decade or so that physically realizable laboratory light beams have been used to study the orbital angular momentum of light. In many respects, orbital and spin angular momentum behave in a similar manner, but they differ significantly in others. In particular, orbital angular momentum offers exciting new possibilities with respect to the optical manipulation of matter and to the study of the entanglement of photons.
Bringing together 44 landmark papers, Optical Angular Momentum offers the first comprehensive overview of the subject as it has developed. It chronicles the first decade of this important subject and gives a definitive statement of the current status of all aspects of optical angular momentum. In each chapter the editors include a concise introduction, putting the selected papers into context and outlining the key articles associated with this aspect of the subject.

Hypertension is one of the cardiovascular diseases which is most common throughout the world. It is generally defined as an elevation of systolic and/or diastolic arterial blood pressure, which is 120/80 mm Hg in normal situation. A value of 140/90 mm is generally accepted as the upper limit of normotension. Hypertension with certain risk factors such as hypercholes terolemia, diabetes, smoking and a family history of vascular disease pre disposes to arteriosclerosis and consequent cardiovascular morbidity and mortality. The treatment of hypertension leads to reduced risk of hyperten sive renal failure, haemorrhagic stroke, myocardial infarction and cardiac failure. In most cases, the cause of the hypertension can not be clearly defined. Such hypertension is termed as essential hypertension. In a few cases (5- 15%), the hypertension is secondary to definable causes, such as renal artery stenosis, a pheochromocytoma, or an endocrine disorder. This type of hyper tension is known as secondary hypertenSion. Although the exact etiology of essential hypertension is still not well known, the following factors are sup posed to play causative roles."

Recent experimental progress has enabled cold atomic gases to be studied at nano-kelvin temperatures, creating new states of matter where quantum degeneracy occurs - Bose-Einstein condensates and degenerate Fermi gases. Such quantum states are of macroscopic dimensions. This book presents the phase space theory approach for treating the physics of degenerate quantum gases, an approach already widely used in quantum optics. However, degenerate quantum gases involve massive bosonic and fermionic atoms, not massless photons. The book begins with a review of Fock states for systems of identical atoms, where large numbers of atoms occupy the various single particle states or modes. First, separate modes are considered, and here the quantum density operator is represented by a phase space distribution function of phase space variables which replace mode annihilation, creation operators, the dynamical equation for the density operator determines a Fokker-Planck equation for the distribution function, and measurable quantities such as quantum correlation functions are given as phase space integrals. Finally, the phase space variables are replaced by time dependent stochastic variables satisfying Langevin stochastic equations obtained from the Fokker-Planck equation, with stochastic averages giving the measurable quantities. Second, a quantum field approach is treated, the density operator being represented by a distribution functional of field functions which replace field annihilation, creation operators, the distribution functional satisfying a functional FPE, etc. A novel feature of this book is that the phase space variables for fermions are Grassmann variables, not c-numbers. However, we show that Grassmann distribution functions and functionals still provide equations for obtaining both analytic and numerical solutions. The book includes the necessary mathematics for Grassmann calculus and functional calculus, and detailed derivations of key results are provided.

This work presents the mathematical methods widely used by workers in the field of quantum optics. It deals with the physical assumptions which lead to the models and approximations employed, but the main purpose of the text is to give a firm grounding in those techniques needed to derive analytical solutions to problems.

An utterly charming and heart-warming love story and the perfect tonic for difficult times. Daisy is the night security guard at the Manchester Museum of Social History. She takes her job very seriously, protecting the museum from teenage troublemakers. Nate works the day shift, though he'd be more suited as a museum guide the way he chats with the visitors. Daisy doesn't approve: how does he find it so easy to talk to strangers? For five minutes each day their shifts overlap at handover. He passes the torch over to Daisy - always with a smile on his face, and she asks him for a full report of the day, which he gives reluctantly. It's the only interaction they have... until mysterious things begin to happen at the museum. They soon discover they have a lot more in common than they realised... and their investigations uncover more than just the truth. Could they have feelings for one another?

How do you find love . . . when you have the loneliest job in the world? This is the story of Gayle and Martin, who fall in love over the course of ten years- over a yearly visit to a tiny, isolated island off the Welsh coast. Gayle is a teacher and each year she brings her class to the island to see the local flora and fauna, from sea birds to playful seals. Martin, the island's caretaker and only human resident, lives in and maintains the lighthouse, which opens to the public for just this one day a year. Gayle is effervescent but feels trapped, while Martin is lonely and isolated. As their love slowly builds over time, they both yearn for the annual field trip where they can finally see each other... Until one year Gayle doesn't come back, and Martin has to leave his island hideaway to find her. A romantic, tender love story, perfect for fans of Mike Gayle and Rachel Joyce.

Additional Contributors Are Lincoln Gordon, John Lindeman, Howland Sargeant, William Fox, And Ben Moore.

Life can leave us feeling parched, empty, hungry, and even without hope. God's Word is like food and water for our souls, bringing us refreshment and renewal at the deepest heart level. If we want to get the most out of our relationship with Christ and better learn to walk in His ways, we need to press on in studying His Word. Through the uncompromising and practical teaching of God's Word, these devotionals seek to strengthen our resolve for truth, increase our love for righteousness, and enrich our walk with Jesus. The time has come for some refreshing.

Chronic Obstructive Pulmonary Disease (COPD) is a chronic disease, which encompasses chronic bronchitis, emphysema and chronic asthma. It is a disease that is predominately caused by smoking and unfortunately is on the increase. Although it is one of the most common diseases seen in primary care, until fairly recently has received very little recognition.

"Chronic Obstructive Pulmonary disease in Primary Care" is the first book of its kind to provide health professionals with practical advice and coping strategies for patients and their carers to help enhance their quality of life living with COPD.

Incorporating NICE COPD guidelines it provides practical guidance and information on the following key points: Assessment Accurate diagnosis Managing patients effectively to control their symptoms, particularly breathlessness.

COPD management not only involves medical intervention but also involves caring for the patient from a holistic perspective, which is well illustrated in this book.

"Chronic Obstructive Pulmonary disease in Primary Care" is an essential resource guide for all health professionals caring for patients with COPD. This one book provides all the relevant information required for patients with this condition.

'The characters jump right off the page and into your heart.' Amazon reviewer, 5 stars Nineteen-year-old Jennifer is regretting her hasty move into Sunset Promenade, an unusual retirement home taking in students to save money. Despite their differences in age, Jennifer and the older residents thrive and embark on a series of new adventures. But when Sunset Promenade is threatened with closure, cracks begin to show, and this quirky group of friends must work together to save their home. The Growing Pains of Jennifer Ebert, aged 19 going on 91 is a funny, warm and uplifting novel about the importance of friendship, the value of community, and how it's never too late to have the time of your life... 'I loved every word of this book and would advise people take an afternoon off, find a comfy spot and lose yourself for a few hours in the world of Sunset Promenade.' - Amazon reviewer Readers are loving The Growing Pains of Jennifer Ebert 'Brilliant page turner' 'this is a lovely book' 'a really good read' 'a wonderful story' ******************* Previously published as The Lonely Hearts Cinema Club

*FROM THE INTERNATIONALLY BESTSELLING AUTHOR OF CALLING MAJOR TOM* 'I loved it!' - Joanne Harris, Sunday Times bestselling author of Chocolat 'I loved it. Nostalgic without being saccharine, hopeful, real characters with edge. A brilliant book.' - Hayley Webster 'I adored it! Truly uplifting. Exactly what people want and need to read right now.' - Daisy Buchanan For elderly churchwarden Arthur Calderbank, there's no place like home. His home just so happens to be a graveyard. He keeps himself to himself, gets on with his job, and visits his wife everyday for a chat. When one day he finds someone else has been to see his wife - and has left flowers on her grave - he is determined to solve the mystery of who and why. He receives unlikely help from a group of teenage girls as he searches for answers, and soon learns that there is more to life than being surrounded by death. Set during the 90s, when we were all just common people believing things could only get better, this is an uplifting story about the power of a little kindness, friendship and community. For readers who enjoy Sue Townsend, Ruth Hogan and Joanna Cannon.

Describing the phase of an electromagnetic field mode or harmonic oscillator has been an obstacle since the early days of modern quantum theory. The quantum phase operator was even more problematic with the invention of the maser and laser in the 1950s and 1960s. This problem was not solved until the Pegg-Barnett formalism was developed in the 1980s. Edited by one of the scientists who created this key solution, The Quantum Phase Operator: A Review charts the development of phase and angle operators from their first appearance to modern theory. Bringing together vital works that have been published on the subject, the book presents the ideas that led to the current theory of the phase operator and provides a complete picture of the progress that has followed since then. With introductions by the editors to put the papers in context and unify the content of the book, each section focuses on a different aspect of phase operators. The editors also chronologically organize the papers within the sections to highlight how scientific thought has evolved, if at all, over time. A collection of important relevant material that is scattered throughout the literature, this volume chronicles the history of the various facets of the quantum phase operator, promoting a solid foundation in quantum theory.