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Linear Operators for Quantum Mechanics (Dover Books on Physics) ebook

by Thomas F. Jordan


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Quantum Mechanics in Simple Matrix Form (Dover Books on 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

Quantum Mechanics in Simple Matrix Form (Dover Books on Physics). 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.

I was wondering if any of you have any thoughts about these books by Thomas F. Jordan, from DOVER PUBLICATIONS Linear Operators for . Related Threads for: Thomas F. Jordan Books on Quantum mechanics. A question about Thomas Calculus book. Jordan, from DOVER PUBLICATIONS Linear Operators for Quantum.

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.

series Dover Books on Physics. Topics include linear spaces and linear functionals; linear operators; diagonalizing operators; operator algebras; states; equations of motion; and representation of space-time transformations. You are in the Malaysia store.

quantum-mechanics operators . They're both by Thomas F. Jordan and are specifically oriented towards quantum.

quantum-mechanics operators ions hilbert-space. There are literally hundreds of introductory books on linear operators and their use in quantum mechanics. Finding the right one for you can be tricky. Let me recommend two that have been successful enough to be republished as Dover paperbacks. 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.

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.

Автор: Jordan Thomas Название: Linear Operators for Quantum Mechanics Издательство: Dover .

Read unlimited books and audiobooks on the web, iPad, iPhone and . Topics include linear spaces and linear functionals; linear operators.

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Items related to Linear Operators for Quantum Mechanics (Dover Books. This compact treatment highlights the logic and simplicity of the mathematical structure of quantum mechanics. Thomas F. Jordan Linear Operators for Quantum Mechanics (Dover Books on Physics). ISBN 13: 9780486453293.

This compact treatment highlights the logic and simplicity of the mathematical structure of quantum mechanics. Suitable for advanced undergraduates and graduate students, it treats the language of quantum mechanics as expressed in the mathematics of linear operators.Originally oriented toward atomic physics, quantum mechanics became a basic language for solid-state, nuclear, and particle physics. Its grammar consists of the mathematics of linear operators, and with this text, students will find it easier to understand and use the language of physics. 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.
Sudert
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!
Danskyleyn
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.
Linear Operators for Quantum Mechanics (Dover Books on Physics) ebook
Author:
Thomas F. Jordan
Category:
Physics
Subcat:
EPUB size:
1838 kb
FB2 size:
1313 kb
DJVU size:
1794 kb
Language:
Publisher:
Dover Publications (November 29, 2006)
Pages:
174 pages
Rating:
4.7
Other formats:
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