An Introduction to the Mathematical Structure of Quantum Mechanics PDF ePub eBook

Books Info:

An Introduction to the Mathematical Structure of Quantum Mechanics free pdf This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. The mathematical structure of QM is formulated in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables, for a general physical system. The Dirac-von Neumann axioms are then derived. The description of states and observables as Hilbert space vectors and operators follows from the GNS and Gelfand-Naimark Theorems. The experimental existence of complementary observables for atomic systems is shown to imply the noncommutativity of the observable algebra, the distinctive feature of QM- for finite degrees of freedom, the Weyl algebra codifies the experimental complementarity of position and momentum (Heisenberg commutation relations) and Schrodinger QM follows from the von Neumann uniqueness theorem.The existence problem of the dynamics is related to the self-adjointness of the Hamiltonian and solved by the Kato-Rellich conditions on the potential, which also guarantee quantum stability for classically unbounded-below Hamiltonians. Examples are discussed which include the explanation of the discreteness of the atomic spectra. Because of the increasing interest in the relation between QM and stochastic processes, a final chapter is devoted to the functional integral approach (Feynman-Kac formula), to the formulation in terms of ground state correlations (the quantum mechanical analog of the Wightman functions) and their analytic continuation to imaginary time (Euclidean QM). The quantum particle on a circle is discussed in detail, as an example of the interplay between topology and functional integral, leading to the emergence of superselection rules and sectors.

About F. Strocchi

Sadly, currently we cannot provide you with info on the particular Publisher F. Strocchi. But this does not necessarily mean that we are unsuccessful for my child variety. We all consult that you just allow us in this particular make a difference. When you have free time and require can immensely enjoy in the event you present to people the information you have. Any time having this kind of opinions and information via end users regarding the An Introduction to the Mathematical Structure of Quantum Mechanics Founder F. Strocchi, all of us 1st the woman's look at. After most of us make certain that almost all accurate, just write-up the item. Most of us appreciate this support as well as appreciate it upfront.

Details Book

Author : F. Strocchi
Publisher : World Scientific Publishing Co Pte Ltd
Data Published : 01 January 2020
ISBN : 9812835229
EAN : 9789812835222
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 180 pages
Age + : 18 years
Language : English
Rating :

Reviews An Introduction to the Mathematical Structure of Quantum Mechanics



17 Comments Add a comment




Related eBooks Download


  • Non-Selfadjoint Operators in Quantum Physics free pdfNon-Selfadjoint Operators in Quantum Physics

    A unique discussion of mathematical methods with applications to quantum mechanics Non-Selfadjoint Operators in Quantum Physics: Mathematical Aspects presents various mathematical constructions influenced by quantum mechanics and emphasizes the spectral theory of non-adjoint operators..


  • Introduction to Quantum Mechanics free pdfIntroduction to Quantum Mechanics

    "Introduction to Quantum Mechanics" provides the foundation for much of one's future work in atomic. molecular and nuclear physics. The topics included in this book are various experiments that laid the foundation of quantum mechanics and discusses the Schrodinger wave equation..


  • Lectures on Quantum Mechanics free pdfLectures on Quantum Mechanics

    }These lecture notes comprise a three-semester graduate course in quantum mechanics at the University of Illinois. There are a number of texts which present the basic topics very well- but since a fair quantity of the material discussed in my course was not available to the students in elementary quantum mechanics books..


  • The Principles of Quantum Mechanics free pdfThe Principles of Quantum Mechanics

    Reviews from the First Edition: 'An excellent text. The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear. succinct manner' - ("American Scientist")..


  • Problems in Quantum Mechanics free pdfProblems in Quantum Mechanics

    242 solved problems of several degrees of difficulty in nonrelativistic Quantum Mechanics. ranging from the themes of the crisis of classical physics. through the achievements in the framework of modern atomic physics..


  • An Introduction to the Mathematical Structure of Quantum Mechanics free pdfAn Introduction to the Mathematical Structure of Quantum Mechanics

    . This book arises out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students. The mathematical structure of QM is formulated in terms of the C*-algebra of o