Bryan Lim's Books

Phase Space Methods for Degenerate Quantum Gases

By: Bryan J. Dalton,John Jeffers (Physicist),Stephen M. Barnett

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Phase Space Methods for Degenerate Quantum Gases

By: Bryan J. Dalton,John Jeffers (Physicist),Stephen M. Barnett

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.

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Page Count

433

Publisher

International Monographs on Ph

Published Date

ISBN 10

0199562741

ISBN 13

9780199562749

Portuguese, Dutch and Chinese in Maritime Asia, c.1585 - 1800

Merchants, Commodities and Commerce

By: George Bryan Souza

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Portuguese, Dutch and Chinese in Maritime Asia, c.1585 - 1800

Merchants, Commodities and Commerce

By: George Bryan Souza

This collection of 13 essays deals with a range of topics concerning Portuguese, Dutch and Chinese merchants, commodities and commerce in maritime Asia in the early modern period from c. 1585-1800. They are based on exhaustive research and careful analysis of diverse sets of archival materials found around the globe. Written by a leading authority on global maritime economic history and the history of European Expansion, each individual essay addresses a topic of fundamental importance to those interested in knowing more about what merchants did (with which resources and under what conditions) and how they did it, what were the commodities that were incorporated into local, regional, intra-regional and global economies, and what was the role and function of early modern maritime trade and commerce in economic development in general and especially in Asia in the early modern era, from c. 1585-1800. A number of them, in particular, relate the individual or collective merchant experience to specific European (Portuguese and Dutch) imperial projects and their contestation amongst themselves and their indigenous neighbours over portions of the period. Collectively, they form an exposition of a utilitarian view of human activity under a wide-ranging different set of circumstances and conditions but with similar patterns of behaviors and responses that are largely independent from ethnic, racial or religious stereotyping. The work therefore should raise new issues and avenues of research concerning these agents and objects in European Expansion, Asian and Global History.

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Page Count

346

Publisher

Taylor & Francis

Published Date

ISBN 10

1040240003

ISBN 13

9781040240007

Linear Functional Analysis

By: Bryan Rynne,M.A. Youngson

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Linear Functional Analysis

By: Bryan Rynne,M.A. Youngson

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Page Count

327

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1848000057

ISBN 13

9781848000056

Linear Functional Analysis

By: Bryan P. Rynne,Martin A. Youngson

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Linear Functional Analysis

By: Bryan P. Rynne,Martin A. Youngson

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. The initial chapters develop the theory of infinite-dimensional normed spaces, in particular Hilbert spaces, after which the emphasis shifts to studying operators between such spaces. Functional analysis has applications to a vast range of areas of mathematics; the final chapters discuss the particularly important areas of integral and differential equations. Further highlights of the second edition include: a new chapter on the Hahn-Banach theorem and its applications to the theory of duality. This chapter also introduces the basic properties of projection operators on Banach spaces, and weak convergence of sequences in Banach spaces - topics that have applications to both linear and nonlinear functional analysis; extended coverage of the uniform boundedness theorem; plenty of exercises, with solutions provided at the back of the book.

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Page Count

288

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1852332573

ISBN 13

9781852332570

Economic Liberalism and the Developmental State

Hong Kong and Singapore’s Post-war Development

By: Bryan Cheang

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Economic Liberalism and the Developmental State

Hong Kong and Singapore’s Post-war Development

By: Bryan Cheang

This book provides a fresh perspective on the debate over the role of the state in East Asia’s development history. Comparing the post-war development policies of Singapore and Hong Kong, it argues that their strong economic performances preceded and persisted despite, not because of, developmental state policies. While both nations are not pure free markets, the Hong Kong economy comes closer to that ideal and exhibited clear advantages over state-driven Singapore, in terms of greater levels of indigenous entrepreneurship, productivity and innovation. The book highlights the complex ways in which states penetrate markets, which are often neglected in liberal accounts of Hong Kong and Singapore as ‘free-market success stories’. At the same time, it also stands as a cautionary tale on the use of non-comprehensive development planning in the twenty-first century, where an unprecedented degree of complexity complicates economic policy and industrial upgrading. The book renews the case for economic liberalism in development policy through a unique Asian cultural lens.

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Page Count

365

Publisher

Springer Nature

Published Date

ISBN 10

3031081005

ISBN 13

9783031081002

Book's by Bryan Lim

Phase Space Methods for Degenerate Quantum Gases

Phase Space Methods for Degenerate Quantum Gases

Portuguese, Dutch and Chinese in Maritime Asia, c.1585 - 1800

Portuguese, Dutch and Chinese in Maritime Asia, c.1585 - 1800

Linear Functional Analysis

Linear Functional Analysis

Linear Functional Analysis

Linear Functional Analysis

Economic Liberalism and the Developmental State

Economic Liberalism and the Developmental State

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