Department Staff


Belal E Baaquie

Department of Physics
National University of Singapore
Faculty of Science
Blk S13, 03-03
2 Science Drive 3
Singapore 117542

Tel: (65) 6516-2963
Fax: (65) 6777-6126

  Interview of Belal E Baaquie on "Quantum Finance" by Naoyoshi Kachi on (May 2008)
  • Research Associate, Stanford University, 1976-78
  • Member, Institute for Advanced Study, Princeton 1991
  • Physics Department, Harvard University 1998
  • Physics Department, National University of Singapore, 1984-2000
  • University Scholars Programme, Vice-Dean, 1998-2002
  • Physics Department, National University of Singapore, 2002 to present



  • BS, Physics (1972), California Institute of Technology.
  • PhD, Theoretical Physics, Cornell University, 1976.



  • Path Integrals and Hamiltonians: Principles and Methods
    By Belal E. Baaquie

    Cambridge University Press
    March 2014; In stock; ISBN:

    This book can be purchased at the website.

    Providing a pedagogical introduction to the essential principles of path integrals and Hamiltonians, this book describes cutting-edge quantum mathematical techniques applicable to a vast range of fields, from quantum mechanics, solid state physics, statistical mechanics, quantum field theory, and superstring theory to financial modeling, polymers, biology, chemistry, and quantum finance. Eschewing use of the Schrodinger equation, the powerful and flexible combination of Hamiltonian operators and path integrals is used to study a range of different quantum and classical random systems, succinctly demonstrating the interplay between a system's path integral, state space, and Hamiltonian. With a practical emphasis on the methodological and mathematical aspects of each derivation, this is a perfect introduction to these versatile mathematical methods, suitable for researchers and graduate students in physics, mathematical finance and engineering.

  • The Theoretical Foundations of Quantum Mechanics
    By Belal E. Baaquie

    Springer Publications
    2013, XII, 268 p. 75 illus., 43 in color. ISBN 978-1-4614-6224-8)

    You may purchase this new book at the Springer website.

    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 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.

  • Exploring Integrated Science
    By Belal E. Baaquie and Frederick H. Willeboordse
    CRC Press
    2009 pp: 594, ISBN: 9781420087932 (hc).)
    You may purchase this new book at the Taylor and Francis website.

    Written in a non-technical, entertaining style to engage those without a science background while maintaining the academic rigor required by more advanced readers, the book follows a unique format that enhances the learning process. Each chapter begins with a pertinent question that forms the basis for explaining a scientific principle. Step by step, the text then delves into the more sophisticated scientific matter necessary for providing insight into the question presented, elucidating key principles and concepts. Each chapter contains a summary highlighting the salient points, answers the question definitively, and concludes with a series of exercises to test readers' assimilation of the material.

  • Interest Rates and Coupon Bonds in Quantum Finance
    By Belal E. Baaquie
    Cambridge University Press
    2009 pp: 508, ISBN-13: 9780521889285 (hc).)
    You may purchase this new book at the CUP's website.

    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.




  • Taught a whole range of undergraduate and graduate courses in Physics and Mathematics. Thesis advisor for MSc and PhD degrees. Written many articles on general topics such as finance, education, history, economics and philosophy. Developed many modules for teaching science to a broad based non-specialist audience.


  Research Interest    
  • Quantum field theory
  • Financial modeling based on techniques of quantum theory


  Selected Publications    
The copyright of my published papers have mostly been transferred to the publisher of the journal/book. The files are provided for individual use only. Please obtain legal permission from the publisher for reproduction, if it is necessary.