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eBook Linear Operators for Quantum Mechanics epub

by Thomas F. Jordan

eBook Linear Operators for Quantum Mechanics epub
  • ISBN: 0960276203
  • Author: Thomas F. Jordan
  • Genre: Science
  • Subcategory: Physics
  • Language: English
  • Publisher: Thomas F Jordan (December 1, 1979)
  • ePUB size: 1200 kb
  • FB2 size 1351 kb
  • Formats mbr rtf azw txt


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Электронная книга "Linear Operators for Quantum Mechanics", Thomas F. Jordan. Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Linear Operators for Quantum Mechanics" для чтения в офлайн-режиме.

Topics include linear spaces and linear functionals; linear operators; diagonalizing operators; operator algebras; states; equations of motion; and representation of space-time transformations. The text concludes with exercises and applications. To read this book, upload an EPUB or FB2 file to Bookmate.

Topics include linear spaces and linear functionals; linear operators; diagonalizing operators; operator algebras; states; equations of motion; and . Books related to Linear Operators for Quantum Mechanics.

Topics include linear spaces, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion. By: Thomas F. Bestselling series of coloring books for adults offers highly detailed illustrations on premium paper – relax and color. Coloring books for adults and children. For all ages and levels. Beautifully illustrated, low-priced Dover coloring on an amazing variety of subjects.

They're both by Thomas F. Jordan and are specifically oriented towards quantum mechanics applications. The most elementary one (perhaps too elementary) is, "Quantum Mechanics in Simple Matrix Form" (1986) Dover (2005) ISBN 0-486-44530-5. answered Nov 11 '10 at 23:27.

Автор: Jordan Thomas Название: Linear Operators for Quantum Mechanics Издательство: Dover . Topics include linear spaces, functionals, and operators; diagonalizing operators; operator algebras; and equations of motion.

Linear Operators for Quantum Mechanics ISBN10: 0486453294 ISBN13: 9780486453293. Iam very bad at matrix representation of Quantum mechanics, and I will have my first real course on this subjectin a few weeks. Quantum Mechanics in Simple Matrix Form ISBN10: 0486445305 ISBN13: 9780486445304. The main book for the Course is Sakurai's Modern Quantum mechanics. Cheers! Related Science and Math Textbooks News on Phys.

Book by Jordan, Thomas F.
Comments: (7)
Ramsey`s
When I first picked up this book I was dubious regarding its likely suitability for somebody like myself: an engineering Ph.D. who had taken graduate quantum mechanics, and who also has a B.S. in physics. The book is full of proofs and does not have a single diagram or illustration of any kind. Nevertheless, the more I delved into it, the more appreciative I have become of its approach. The proofs are not difficult and the lack of diagrams and illustrations is more than compensated by the authors steady development of each concept--a development that relies on clear derivations that fill in the important steps for the reader.

For me, Jordan's book provides the most balanced introduction to Hilbert space in quantum mechanics. Compared to R.I.G. Hughes' The Structure and Interpretation of Quantum Mechanics, Jordan relies less on intuitive arguments, but more on clear and explicit derivations. Often in reading Hughes I found myself wondering "what exactly is he getting at here?" In Jordan, however, with his clear derivations and proofs laid out explicitly before me, I do not have to wonder! Don't get me wrong though! I still found Hughes quite valuable, especially in his breakdown of the quantum measurement concepts explored in von Neumann's Mathematical Foundations of Quantum Mechanics, a topic that is not addressed to the same extent by Jordon.

The part of this book that really won me over is Jordon's treatment of spectral decomposition (Section 14), which is explored on pages 42-49. This section is part of Chapter 3, Diagonalizing Operators, pp.34-66. After reading Section 14 and most of Chapter 3 in which it is imbedded, most readers who have benefited from a graduate level quantum mechanics course should be able to understand spectral decomposition, especially after taking a brief look at Section 10 on projection operators (pp.26-29).

This extremely compelling and lucid treatment of quantum mechanics in terms of Hilbert space is also an incredible bargain! If you are a relative novice such as myself who has ANY interest in Hilbert space and quantum mechanics at all, there is no way that you can pass up shelling out the mere $8.25 for a brand new paperback copy of this unassuming, but ultimately amazing, little 144-page book!
Arashitilar
Physics students learn that Classical Mechanics can be formulated in a variety of different ways at increasing levels of abstraction beginning with Newton's Laws, then progressing through the principle of least action and Lagrangian mechanics, to Hamilton's equations, and finally to Hamilton-Jacobi theory, and that each of these "layers" needs to be learned before the next one can be appreciated.

So it is with Quantum Mechanics too. With QM there are at least three levels of formulation beginning with wave functions, progressing to Dirac's formalism, and then to operator formalism which is the subject of this book.

With that said, if you don't already know -- really know -- the wave function and Dirac formalisms, this book should be avoided until you do.

Although perhaps useful as an introduction to the operator formalism, this book's real intent is to provide a glimpse at the substantial mathematical machinery behind the operator formalism, so the student can set their understanding of it on firmer mathematical ground. Nonetheless, this book is only an introduction to the mathematics behind the operator formalism, and many important results are stated without proof.

There are only seven chapters in this book, and the first four are mathematical preparation. Physics doesn't really enter the picture until chapter five, "States". And it is here that the reader begins to appreciate the elegance of the operator formalism: it handles quantum mechanics and quantum statistical mechanics simultaneously. This is because in the operator formalism all states are represented as density operators. And pure states are simply idempotent density operators. That is, density operators for which A^2 = A. This makes them projection operators. And is another point of elegance: in the Dirac formalism a state vector only defines a state up to a phase factor, but in the operator formalism, this ambiguity is removed.

However, there is still plenty of ambiguity within the choice of operators used to represent measurable quantities.

Regardless, I thought this book did a very good job both in selection of topics and level of coverage for its intended audience and purpose. There are, however, only a few exercise which are all at the end of the book, several of which are quite challenging.

If you are an undergrad, I'd suggest you postpone this book and spend your time learning more quantum mechanics itself. In addition to a solid knowledge of quantum mechanics, the well prepared reader should have a strong background in finite dimensional linear algebra. Knowledge of elementary analysis and even a bit of group theory will be helpful as well.
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