# Spinors in Physics

Valutazione media 0
( su 0 valutazioni fornite da GoodReads )

Invented by Dirac in creating his relativistic quantum theory of the electron, spinors are important in quantum theory, relativity, nuclear physics, atomic and molecular physics, and condensed matter physics. Essentially, they are the mathematical entities that correspond to electrons in the same way that ordinary wave functions correspond to classical particles. Because of their relations to the rotation group SO(n) and the unitary group SU(n), this discussion will be of interest to applied mathematicians as well as physicists.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

"...I think that the book can be very useful for a first course on the subject since it is well written, with many examples and a very good collection of solved problems."

--Mathematical Reviews

"...recommended as a pedagogically sound starting point for anyone wishing to understand what spinors are about, and why they are of importance to physicists."

--Zentralblatt MATH

Contenuti:

I Spinors in Three-Dimensional Space.- 1 Two-Component Spinor Geometry.- 1.1 Definition of a Spinor.- 1.1.1 Stereographic Projection.- 1.1.2 Vectors Associated with a Spinor.- 1.1.3 The Definition of a Spinor.- 1.2 Geometrical Properties.- 1.2.1 Plane Symmetries.- 1.2.2 Rotations.- 1.2.3 The Olinde—Rodrigues Parameters.- 1.2.4 Rotations Defined in Terms of the Euler Angles.- 1.3 Infinitesimal Properties of Rotations.- 1.3.1 The Infinitesimal Rotation Matrix.- 1.3.2 The Pauli Matrices.- 1.3.3 Properties of the Pauli Matrices.- 1.4 Algebraic Properties of Spinors.- 1.4.1 Operations on Spinors.- 1.4.2 Properties of Operations on Spinors.- 1.4.3 The Basis of the Vector Space of Spinors.- 1.4.4 Hermitian Vector Spaces.- 1.4.5 Properties of the Hermitian Product.- 1.4.6 The Use of an Antisymmetric Metric Tensor.- 1.5 Solved Problems.- 2 Spinors and SU (2) Group Representations.- 2.1 Lie Groups.- 2.1.1 Examples of Continuous Groups.- 2.1.2 Analytic Definition of Continuous Groups.- 2.1.3 Linear Representations.- 2.1.4 Infinitesimal Generators.- 2.1.5 Infinitesimal Matrices.- 2.1.6 Exponential Mapping.- 2.1.7 The Nomenclature of Continuous Linear Groups.- 2.2 Unimodular Unitary Groups.- 2.2.1 The Unitary Group U (2).- 2.2.2 The Unitary Unimodular Group SU (2).- 2.2.3 Three-Dimensional Representations.- 2.2.4 Representations of the Groups SU (2).- 2.2.5 Irreducible Representations of SU (2).- 2.3 Solved Problems.- 3 Spinor Representation of SO (3).- 3.1 The Rotation Group SO (3).- 3.1.1 Rotations About a Point.- 3.1.2 The Infinitesimal Matrices of the Group.- 3.1.3 Rotations About a Given Axis.- 3.1.4 The Exponential Matrix of a Rotation About a Given Axis.- 3.2 Irreducible Representations of SO (3).- 3.2.1 The Structure Equations.- 3.2.2 The Infinitesimal Matrices of the Representations of the Group SO (3).- 3.2.3 Eigenvectors and Eigenvalues of the Infinitesimal Matrices of the Representations.- 3.2.4 Irreducible Representations.- 3.2.5 The Infinitesimal Matrices of an Irreducible Representation in the Canonical Basis.- 3.2.6 The Characters of the Rotation Matrices of a Representation.- 3.3 Spherical Harmonics.- 3.3.1 The Infinitesimal Operators in Spherical Coordinates.- 3.3.2 Spherical Harmonics.- 3.4 Spinor Representations.- 3.4.1 The Two-Dimensional Irreducible Representation.- 3.4.2 The Three-Dimensional Irreducible Representation.- 3.4.3 (2 j + 1)-Dimensional Irreducible Representations.- 3.5 Solved Problems.- 4 Pauli Spinors.- 4.1 Spin and Spinors.- 4.2 The Linearized Schrödinger Equations.- 4.2.1 The Free Particle.- 4.2.2 Particle in an Electromagnetic Field.- 4.2.3 The Spinors in Pauli’s Equation.- 4.3 Spinor and Vector Fields.- 4.3.1 The Transformation of a Vector Field by a Rotation.- 4.3.2 The Rotation of a Spinor Field.- 4.4 Solved Problems.- II Spinors in Four-Dimensional Space.- 5 The Lorentz Group.- 5.1 The Generalized Lorentz Group.- 5.1.1 Rotations and Reflections.- 5.1.2 Orthochronous and Anti-Orthochronous Transformations.- 5.1.3 Sheets of the Generalized Lorentz Group.- 5.2 The Four-Dimensional Rotation Group.- 5.2.1 Four-Dimensional Orthogonal Transformations.- 5.2.2 Matrix Representations of the Group SO (4).- 5.2.3 Infinitesimal Matrices.- 5.2.4 Irreducible Representations.- 5.3 Solved Problems.- 6 Representations of the Lorentz Groups.- 6.1 Irreducible Representations.- 6.1.1 Relations Between the Groups SO (3, 1)?andSO(4).- 6.1.2 Infinitesimal Matrices.- 6.1.3 Irreducible Representations.- 6.2 The Group SL(2,?).- 6.2.1 Two-Component Spinors.- 6.2.2 Higher-Order Spinors.- 6.2.3 Representations of the GroupsSL(2,?).- 6.2.4 Irreducible Representations.- 6.3 Spinor Representations of the Lorentz Group.- 6.3.1 Four-Dimensional Irreducible Representations.- 6.3.2 Two-Dimensional Representations.- 6.3.3 The Direct Product of Irreducible Representations.- 6.4 Solved Problems.- 7 Dirac Spinors.- 7.1 The Dirac Equation.- 7.1.1 The Classical Relativistic Wave Equation.- 7.1.2 The Dirac Equation for a Free Particle.- 7.1.3 A Particle in an Electromagnetic Field.- 7.2 Relativistic Invariance of the Dirac Equation.- 7.2.1 The Relativistic Invariance Condition.- 7.2.2 The Type of Representation for the Wave Function.- 7.2.3 The Link Between a Spinor and a Four-Vector.- 7.2.4 Dirac’s Equation in the Spinor Representation.- 7.2.5 The Symmetric Form of the Dirac Equation.- 7.3 Solved Problems.- 8 Clifford and Lie Algebras.- 8.1 Lie Algebras.- 8.1.1 The Definition of an Algebra.- 8.1.2 Lie Algebras.- 8.1.3 Isomorphic Lie Algebras.- 8.2 Representations of Lie Algebras.- 8.2.1 Definition.- 8.2.2 Representations of a Lie Group and of Its Lie Algebra.- 8.2.3 Connected Groups.- 8.2.4 Reducible and Irreducible Representations.- 8.3 Clifford Algebras.- 8.3.1 Definition.- 8.3.2 Examples of Clifford Algebras.- 8.3.3 Clifford and Lie Algebras.- 8.3.4 Spinor Groups.- 8.4 Solved Problems.- Appendix: Groups and Their Representations.- A.1 The Definition of a Group.- A.1.1 Examples of Groups.- A.1.2 The Axioms Defining a Group.- A.1.3 Elementary Properties of Groups.- A.2 Linear Operators.- A.2.1 The Operator Representing an Element of a Group.- A.2.2 The Operators Acting on the Vectors of Geometric Space.- A.2.3 The Operators Acting on Wave Functions.- A.2.4 Operators Representing a Group.- A.3 Matrix Representations.- A.3.1 The Rotation Matrix Acting on the Vectors of a Three-Dimensional Space.- A.3.2 The Matrix of an Operator Acting on Functions.- A.3.3 The Matrices Representing the Elements of a Group.- A.4 Matrix Representations.- A.4.1 The Definition of a Matrix Representation.- A.4.2 The Fundamental Property of the Matrices of a Representation.- A.4.3 Representation by Regular Matrices.- A.4.4 Equivalent Representations.- A.5 Reducible and Irreducible Representations.- A.5.1 The Direct Sum of Two Vector Spaces.- A.5.2 The Direct Sum of Two Representations.- A.5.3 Irreducible Representations.- A.6 The Direct Product of Representations.- A.6.1 The Direct Product of Two Matrices.- A.6.2 Properties of Tensor Products of Matrices.- A.6.3 The Direct Product of Two Representations.- References.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

Compra nuovo Guarda l'articolo
EUR 86,07

Spese di spedizione: EUR 3,71
In U.S.A.

Destinazione, tempi e costi

Aggiungere al carrello

## 1.Spinors in Physics

Editore: Springer-Verlag New York Inc. (1999)
ISBN 10: 0387986472 ISBN 13: 9780387986470
Nuovi Quantità: > 20
Print on Demand
Da
PBShop
(Wood Dale, IL, U.S.A.)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., 1999. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IP-9780387986470

Compra nuovo
EUR 86,07
Convertire valuta
Spese di spedizione: EUR 3,71
In U.S.A.
Destinazione, tempi e costi

## 2.Spinors in Physics

Editore: Springer (1999)
ISBN 10: 0387986472 ISBN 13: 9780387986470
Nuovi Rilegato Quantità: 1
Da
Herb Tandree Philosophy Books
(Stroud, GLOS, Regno Unito)
Valutazione libreria

Descrizione libro Springer, 1999. Hardback. Condizione libro: NEW. 9780387986470 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0276795

Compra nuovo
EUR 80,99
Convertire valuta
Spese di spedizione: EUR 9,25
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 3.Spinors in Physics

Editore: Springer (2016)
ISBN 10: 0387986472 ISBN 13: 9780387986470
Nuovi Paperback Quantità: 1
Print on Demand
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria

Descrizione libro Springer, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780387986470_lsuk

Compra nuovo
EUR 90,69
Convertire valuta
Spese di spedizione: EUR 3,86
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 4.Spinors in Physics

Editore: Springer-Verlag New York Inc. (1999)
ISBN 10: 0387986472 ISBN 13: 9780387986470
Nuovi Quantità: > 20
Print on Demand
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., 1999. HRD. Condizione libro: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Codice libro della libreria IP-9780387986470

Compra nuovo
EUR 84,29
Convertire valuta
Spese di spedizione: EUR 10,41
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 5.Spinors in Physics (Graduate Texts in Contemporary Physics)

Editore: Springer (1999)
ISBN 10: 0387986472 ISBN 13: 9780387986470
Nuovi Rilegato Quantità: 1
Da
Irish Booksellers
(Rumford, ME, U.S.A.)
Valutazione libreria

Descrizione libro Springer, 1999. Hardcover. Condizione libro: New. book. Codice libro della libreria 0387986472

Compra nuovo
EUR 103,81
Convertire valuta
Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

## 6.Spinors in Physics (Graduate Texts in Contemporary Physics)

Editore: Springer (1999)
ISBN 10: 0387986472 ISBN 13: 9780387986470
Nuovi Rilegato Quantità: 1
Print on Demand
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria

Descrizione libro Springer, 1999. Hardcover. Condizione libro: New. 1999. This item is printed on demand. Codice libro della libreria DADAX0387986472

Compra nuovo
EUR 101,84
Convertire valuta
Spese di spedizione: EUR 3,71
In U.S.A.
Destinazione, tempi e costi

## 7.Spinors in Physics (Hardback)

Editore: Springer-Verlag New York Inc., United States (1999)
ISBN 10: 0387986472 ISBN 13: 9780387986470
Nuovi Rilegato Quantità: 10
Print on Demand
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., United States, 1999. Hardback. Condizione libro: New. 1999 ed.. 243 x 162 mm. Language: English . Brand New Book ***** Print on Demand *****.Invented by Dirac in creating his relativistic quantum theory of the electron, spinors are important in quantum theory, relativity, nuclear physics, atomic and molecular physics, and condensed matter physics. Essentially, they are the mathematical entities that correspond to electrons in the same way that ordinary wave functions correspond to classical particles. Because of their relations to the rotation group SO(n) and the unitary group SU(n), this discussion will be of interest to applied mathematicians as well as physicists. Codice libro della libreria APC9780387986470

Compra nuovo
EUR 109,03
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 8.Spinors in Physics (Hardback)

Editore: Springer-Verlag New York Inc., United States (1999)
ISBN 10: 0387986472 ISBN 13: 9780387986470
Nuovi Rilegato Quantità: 10
Print on Demand
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria

Descrizione libro Springer-Verlag New York Inc., United States, 1999. Hardback. Condizione libro: New. 1999 ed.. 243 x 162 mm. Language: English . Brand New Book ***** Print on Demand *****. Invented by Dirac in creating his relativistic quantum theory of the electron, spinors are important in quantum theory, relativity, nuclear physics, atomic and molecular physics, and condensed matter physics. Essentially, they are the mathematical entities that correspond to electrons in the same way that ordinary wave functions correspond to classical particles. Because of their relations to the rotation group SO(n) and the unitary group SU(n), this discussion will be of interest to applied mathematicians as well as physicists. Codice libro della libreria APC9780387986470

Compra nuovo
EUR 110,13
Convertire valuta
Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

## 9.Spinors In Physics (Graduate Texts In Contemporary Physics)

ISBN 10: 0387986472 ISBN 13: 9780387986470
Nuovi Quantità: > 20
Print on Demand
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria

Descrizione libro Condizione libro: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Codice libro della libreria POD_9780387986470

Compra nuovo
EUR 119,87
Convertire valuta
Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

## 10.Spinors in Physics (Graduate Texts in Contemporary Physics)

Editore: Springer
ISBN 10: 0387986472 ISBN 13: 9780387986470
Nuovi Rilegato Quantità: > 20
Da
Russell Books