Introduction to continuous symmetries: from space-time to quantum mechanics
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | Book |
| Language: | English |
| Published: |
Weinheim
Wiley-VCH
[2023]
|
| Subjects: | |
| Online Access: | http://www.wiley-vch.de/publish/dt/books/ISBN978-3-527-41416-1/ Inhaltsverzeichnis |
| Physical Description: | xiv, 562 Seiten Illustrationen, Diagramme 24.4 cm x 17 cm |
| ISBN: | 3527414169 9783527414161 |
Staff View
MARC
| LEADER | 00000nam a22000008c 4500 | ||
|---|---|---|---|
| 001 | BV049064057 | ||
| 003 | DE-604 | ||
| 005 | 20240531 | ||
| 007 | t | ||
| 008 | 230724s2023 gw a||| |||| 00||| eng d | ||
| 015 | |a 23,N09 |2 dnb | ||
| 016 | 7 | |a 1281860107 |2 DE-101 | |
| 020 | |a 3527414169 |9 3-527-41416-9 | ||
| 020 | |a 9783527414161 |c : circa EUR 99.00 (DE) (freier Preis), circa EUR 101.80 (AT) (freier Preis) |9 978-3-527-41416-1 | ||
| 024 | 3 | |a 9783527414161 | |
| 028 | 5 | 2 | |a Bestellnummer: 1141416 000 |
| 035 | |a (OCoLC)1371419977 | ||
| 035 | |a (DE-599)DNB1281860107 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c XA-DE-BW | ||
| 049 | |a DE-29T |a DE-19 |a DE-703 |a DE-11 |a DE-20 |a DE-83 | ||
| 084 | |a UK 3000 |0 (DE-625)145799: |2 rvk | ||
| 084 | |8 1\p |a 530 |2 23sdnb | ||
| 100 | 1 | |a Laloë, Franck |d 1940- |e Verfasser |0 (DE-588)118103911 |4 aut | |
| 245 | 1 | 0 | |a Introduction to continuous symmetries |b from space-time to quantum mechanics |c Franck Laloë ; translated by Nicole and Dan Ostrowsky |
| 264 | 1 | |a Weinheim |b Wiley-VCH |c [2023] | |
| 264 | 4 | |c © 2023 | |
| 300 | |a xiv, 562 Seiten |b Illustrationen, Diagramme |c 24.4 cm x 17 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Kontinuierliche Gruppe |0 (DE-588)4165160-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Symmetrie |0 (DE-588)4058724-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quantenmechanik |0 (DE-588)4047989-4 |2 gnd |9 rswk-swf |
| 653 | |a Applied Mathematics in Science | ||
| 653 | |a CH00: Allg. Chemie | ||
| 653 | |a Chemie | ||
| 653 | |a Chemistry | ||
| 653 | |a MA21: Mathematik in den Naturwissenschaften | ||
| 653 | |a Mathematics | ||
| 653 | |a Mathematik | ||
| 653 | |a Mathematik in den Naturwissenschaften | ||
| 653 | |a PHG0: Theoretische Physik | ||
| 653 | |a Physics | ||
| 653 | |a Physik | ||
| 653 | |a Theoretical Physics | ||
| 653 | |a Theoretische Physik | ||
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Quantenmechanik |0 (DE-588)4047989-4 |D s |
| 689 | 0 | 1 | |a Symmetrie |0 (DE-588)4058724-1 |D s |
| 689 | 0 | 2 | |a Kontinuierliche Gruppe |0 (DE-588)4165160-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Ostrowsky, Nicole |0 (DE-588)1013912551 |4 trl | |
| 700 | 1 | |a Ostrowsky, Dan |0 (DE-588)1229390456 |4 trl | |
| 710 | 2 | |a Wiley-VCH |0 (DE-588)16179388-5 |4 pbl | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-527-84054-0 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-527-84053-3 |
| 856 | 4 | 2 | |m X:MVB |u http://www.wiley-vch.de/publish/dt/books/ISBN978-3-527-41416-1/ |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034326147&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 883 | 1 | |8 1\p |a vlb |d 20230224 |q DE-101 |u https://d-nb.info/provenance/plan#vlb | |
Record in the Search Index
| _version_ | 1805078976029261824 |
|---|---|
| adam_text |
CONTENTS
I
SYMMETRY
TRANSFORMATIONS
1
A
BASIC
SYMMETRIES
.
1
B
SYMMETRIES
IN
CLASSICAL
MECHANICS
.
5
C
SYMMETRIES
IN
QUANTUM
MECHANICS
.
26
AI
EULERIAN
AND
LAGRANGIAN
POINTS
OF
VIEW
IN
CLASSICAL
MECHANICS
31
1
EULERIAN
POINT
OF
VIEW
32
2
LAGRANGIAN
POINT
OF
VIEW
.
34
BI
NOETHER
'
S
THEOREM
FOR
A
CLASSICAL
FIELD
38
1
LAGRANGIAN
DENSITY
AND
LAGRANGE
EQUATIONS
FOR
CONTINUOUS
VARIABLES
38
2
SYMMETRY
TRANSFORMATIONS
AND
CURRENT
CONSERVATION
.
40
3
GENERALIZATION,
RELATIVISTIC
NOTATION
.
41
4
LOCAL
CONSERVATION
OF
ENERGY
.
42
II
SOME
IDEAS
ABOUT
GROUP
THEORY
45
A
GENERAL
PROPERTIES
OF
GROUPS
.
46
B
LINEAR
REPRESENTATIONS
OF
A
GROUP
.
56
AN
LEFT
COSET
OF
A
SUBGROUP;
QUOTIENT
GROUP
65
1
LEFT
COSETS
.
65
2
QUOTIENT
GROUP
.
66
III
INTRODUCTION
TO
CONTINUOUS
GROUPS
AND
LIE
GROUPS
69
A
GENERAL
PROPERTIES
.
70
B
EXAMPLES
.
85
C
GALILEAN
AND
POINCARE
GROUPS
.
98
AIII
ADJOINT
REPRESENTATION,
KILLING
FORM,
CASIMIR
OPERATOR
109
1
ADJOINT
REPRESENTATION
OF
A
LIE
ALGEBRA
.
109
2
KILLING
FORM
;
SCALAIRE
PRODUCT
AND
CHANGE
OF
BASIS
IN
.
ILL
3
COMPLETELY
ANTISYMMETRIC
STRUCTURE
CONSTANTS
.
113
4
CASIMIR
OPERATOR
.
114
I
V
INDUCED
REPRESENTATIONS
IN
THE
STATE
SPACE
117
A
CONDITIONS
IMPOSED
ON
THE
TRANSFORMATIONS
IN
THE
STATE
SPACE
.
.
.119
B
WIGNER
'
S
THEOREM
.
121
C
TRANSFORMATIONS
OF
OBSERVABLES
.
126
D
LINEAR
REPRESENTATIONS
IN
THE
STATE
SPACE
.
128
E
PHASE
FACTORS
AND
PROJECTIVE
REPRESENTATIONS
.
133
ARV
UNITARY
PROJECTIVE
REPRESENTATIONS,
WITH
FINITE
DIMENSION,
OF
CONNECTED
LIE
GROUPS.
BARGMANN
'
S
THEOREM
141
1
CASE
WHERE
9
IS
SIMPLY
CONNECTED
.
142
2
CASE
WHERE
9
IS
P-CONNECTED
.
145
BIV
UHLHORN-WIGNER
THEOREM
149
1
REAL
SPACE
.
149
2
COMPLEX
SPACE
.
153
V
REPRESENTATIONS
OF
GALILEAN
AND
POINCARE
GROUPS:
MASS,
SPIN,
AND
ENERGY
157
A
REPRESENTATIONS
IN
THE
STATE
SPACE
.
158
B
GALILEAN
GROUP
.
159
C
POINCARE
GROUP
.
173
AV
PROPER
LORENTZ
GROUP
AND
SL(2C)
GROUP
191
1
LINK
TO
THE
SL(2,
C)
GROUP
.
191
2
LITTLE
GROUP
ASSOCIATED
WITH
A
FOUR-VECTOR
.
198
3
W2
OPERATOR
.
202
BV
COMMUTATION
RELATIONS
OF
SPIN
COMPONENTS,
PAULI
-
LUBANSKI
FOUR-VECTOR
205
1
OPERATOR
S
.
205
2
PAULI-LUBANSKI
PSEUDOVECTOR
.
207
3
ENERGY-MOMENTUM
EIGENSUBSPACE
WITH
ANY
EIGENVALUES
.
210
CV
GROUP
OF
GEOMETRIC
DISPLACEMENTS
213
1
BRIEF
REVIEW:
CLASSICAL
PROPERTIES
OF
DISPLACEMENTS
.
214
2
ASSOCIATED
OPERATORS
IN
THE
STATE
SPACE
.
223
VI
DV
SPACE
REFLECTION
(PARITY)
233
1
ACTION
IN
REAL
SPACE
.
233
2
ASSOCIATED
OPERATOR
IN
THE
STATE
SPACE
.
235
3
PARITY
CONSERVATION
.
237
VI
CONSTRUCTION
OF
STATE
SPACES
AND
WAVE
EQUATIONS
241
A
GALILEAN
GROUP,
THE
SCHRODINGER
EQUATION
.
242
B
POINCARE
GROUP,
KLEIN-GORDON,
DIRAC,
AND
WEYL
EQUATIONS
.
254
AVI
RELATIVISTIC
INVARIANCE
OF
DIRAC
EQUATION
AND
NON-RELATIVISTIC
LIMIT
273
1
RELATIVISTIC
INVARIANCE
.
273
2
NON-RELATIVISTIC
LIMIT
OF
THE
DIRAC
EQUATION
.
276
BVI
FINITE
POINCARE
TRANSFORMATIONS
AND
DIRAC
STATE
SPACE
281
1
DISPLACEMENT
GROUP
.
281
2
LORENTZ
TRANSFORMATIONS
.
283
3
STATE
SPACE
AND
DIRAC
OPERATORS
.
287
CVI
LAGRANGIANS
AND
CONSERVATION
LAWS
FOR
WAVE
EQUATIONS
293
1
COMPLEX
FIELDS
.
293
2
SCHRODINGER
EQUATION
.
295
3
KLEIN-GORDON
EQUATION
.
297
4
DIRAC
EQUATION
.
300
VII
ROTATION
GROUP,
ANGULAR
MOMENTA,
SPINORS
303
A
GENERAL
PROPERTIES
OF
ROTATION
OPERATORS
.
304
B
SPIN
1/2
PARTICULE;
SPINORS
.
323
C
ADDITION
OF
ANGULAR
MOMENTA
.
329
A
VII
ROTATION
OF
A
SPIN
1/2
AND
SU
(2)
MATRICES
339
1
MODIFICATION
OF
A
SPIN
1/2
POLARIZATION
INDUCED
BY
AN
SU(2)
MATRIX
340
2
THE
TRANSFORMATION
IS
A
ROTATION
.
341
3
HOMOMORPHISM
.
342
4
LINK
WITH
THE
CHAPTER
VII
DISCUSSION
.
344
5
LINK
WITH
DOUBLE-VALUED
REPRESENTATIONS
.
346
VII
BVII
ADDITION
OF
MORE
THAN
TWO
ANGULAR
MOMENTA
347
1
ZERO
TOTAL
ANGULAR
MOMENTUM;
3-J
COEFFICIENTS
.
347
2
6-J
WIGNER
COEFFICIENTS
.
351
VIII
TRANSFORMATION
OF
OBSERVABLES
UNDER
ROTATION
355
A
SCALAR
AND
VECTOR
OPERATORS
.
358
B
TENSOR
OPERATORS
.
363
C
WIGNER-ECKART
THEOREM
.
379
D
APPLICATIONS
AND
EXAMPLES
.
384
A
VIII
SHORT
REVIEW
OF
CLASSICAL
TENSORS
397
1
VECTORS
.
397
2
TENSORS
.
398
3
PROPERTIES
.
401
4
CRITERIUM
FOR
A
TENSOR
.
403
5
SYMMETRIC
AND
ANTISYMMETRIC
TENSORS
.
403
6
SPECIFIC
TENSORS
.
404
7
IRREDUCIBLE
TENSORS
.
405
BVIII
SECOND-ORDER
TENSOR
OPERATORS
409
1
TENSOR
PRODUCT
OF
TWO
VECTOR
OPERATORS
.
409
2
CARTESIAN
COMPONENTS
OF
THE
TENSOR
IN
THE
GENERAL
CASE
.
411
CVIN
MULTIPOLE
MOMENTS
415
1
ELECTRIC
MULTIPOLE
MOMENTS
.
416
2
MAGNETIC
MULTIPOLE
MOMENTS
.
428
3
MULTIPOLE
MOMENTS
OF
A
QUANTUM
SYSTEM
WITH
A
GIVEN
ANGULAR
MOMENTUM
J
.
434
DVIII
DENSITY
MATRIX
EXPANSION
ON
TENSOR
OPERATORS
439
1
LIOUVILLE
SPACE
.
439
2
ROTATION
TRANSFORMATION
.
441
3
BASIS
OF
THE
TX
OPERATORS
.
442
4
ROTATIONAL
INVARIANCE
IN
A
SYSTEM
'
S
EVOLUTION
.
444
IX
INTERNAL
SYMMETRIES,
SU(2)
AND
SU(3)
GROUPS
449
A
SYSTEM
OF
DISTINGUISHABLE
BUT
EQUIVALENT
PARTICLES
.
451
B
SU(2)
GROUP
AND
ISOSPIN
SYMMETRY
.
466
C
SU(3)
SYMMETRY
.
472
VIII
AIX
THE
NATURE
OF
A
PARTICLE
IS
EQUIVALENT
TO
AN
INTERNAL
QUANTUM
NUMBER
497
1
PARTIAL
OR
COMPLETE
SYMMETRIZATION,
OR
ANTISYMMETRIZATION,
OF
A
STATE
VECTOR
.
497
2
CORRESPONDENCE
BETWEEN
THE
STATES
OF
TWO
PHYSICAL
SYSTEMS
.
499
3
PHYSICAL
CONSEQUENCES
.
501
BIX
OPERATORS
CHANGING
THE
SYMMETRY
OF
A
STATE
VECTOR
BY
PERMU
TATION
503
1
FERMIONS
.
503
2
BOSONS
.
506
X
SYMMETRY
BREAKING
507
A
MAGNETISM,
BREAKING
OF
ROTATIONAL
SYMMETRY
.
508
B
A
FEW
OTHER
EXAMPLES
.
515
APPENDIX
521
TIME
REVERSAL
521
1
TIME
REVERSAL
IN
CLASSICAL
MECHANICS
.
522
2
ANTILINEAR
AND
ANTIUNITARY
OPERATORS
IN
QUANTUM
MECHANICS
.
527
3
TIME
REVERSAL
AND
ANTILINEARITY
.
534
4
EXPLICIT
FORM
OF
THE
TIME
REVERSAL
OPERATOR
.
542
5
APPLICATIONS
.
546 |
| adam_txt |
CONTENTS
I
SYMMETRY
TRANSFORMATIONS
1
A
BASIC
SYMMETRIES
.
1
B
SYMMETRIES
IN
CLASSICAL
MECHANICS
.
5
C
SYMMETRIES
IN
QUANTUM
MECHANICS
.
26
AI
EULERIAN
AND
LAGRANGIAN
POINTS
OF
VIEW
IN
CLASSICAL
MECHANICS
31
1
EULERIAN
POINT
OF
VIEW
32
2
LAGRANGIAN
POINT
OF
VIEW
.
34
BI
NOETHER
'
S
THEOREM
FOR
A
CLASSICAL
FIELD
38
1
LAGRANGIAN
DENSITY
AND
LAGRANGE
EQUATIONS
FOR
CONTINUOUS
VARIABLES
38
2
SYMMETRY
TRANSFORMATIONS
AND
CURRENT
CONSERVATION
.
40
3
GENERALIZATION,
RELATIVISTIC
NOTATION
.
41
4
LOCAL
CONSERVATION
OF
ENERGY
.
42
II
SOME
IDEAS
ABOUT
GROUP
THEORY
45
A
GENERAL
PROPERTIES
OF
GROUPS
.
46
B
LINEAR
REPRESENTATIONS
OF
A
GROUP
.
56
AN
LEFT
COSET
OF
A
SUBGROUP;
QUOTIENT
GROUP
65
1
LEFT
COSETS
.
65
2
QUOTIENT
GROUP
.
66
III
INTRODUCTION
TO
CONTINUOUS
GROUPS
AND
LIE
GROUPS
69
A
GENERAL
PROPERTIES
.
70
B
EXAMPLES
.
85
C
GALILEAN
AND
POINCARE
GROUPS
.
98
AIII
ADJOINT
REPRESENTATION,
KILLING
FORM,
CASIMIR
OPERATOR
109
1
ADJOINT
REPRESENTATION
OF
A
LIE
ALGEBRA
.
109
2
KILLING
FORM
;
SCALAIRE
PRODUCT
AND
CHANGE
OF
BASIS
IN
.
ILL
3
COMPLETELY
ANTISYMMETRIC
STRUCTURE
CONSTANTS
.
113
4
CASIMIR
OPERATOR
.
114
I
V
INDUCED
REPRESENTATIONS
IN
THE
STATE
SPACE
117
A
CONDITIONS
IMPOSED
ON
THE
TRANSFORMATIONS
IN
THE
STATE
SPACE
.
.
.119
B
WIGNER
'
S
THEOREM
.
121
C
TRANSFORMATIONS
OF
OBSERVABLES
.
126
D
LINEAR
REPRESENTATIONS
IN
THE
STATE
SPACE
.
128
E
PHASE
FACTORS
AND
PROJECTIVE
REPRESENTATIONS
.
133
ARV
UNITARY
PROJECTIVE
REPRESENTATIONS,
WITH
FINITE
DIMENSION,
OF
CONNECTED
LIE
GROUPS.
BARGMANN
'
S
THEOREM
141
1
CASE
WHERE
9
IS
SIMPLY
CONNECTED
.
142
2
CASE
WHERE
9
IS
P-CONNECTED
.
145
BIV
UHLHORN-WIGNER
THEOREM
149
1
REAL
SPACE
.
149
2
COMPLEX
SPACE
.
153
V
REPRESENTATIONS
OF
GALILEAN
AND
POINCARE
GROUPS:
MASS,
SPIN,
AND
ENERGY
157
A
REPRESENTATIONS
IN
THE
STATE
SPACE
.
158
B
GALILEAN
GROUP
.
159
C
POINCARE
GROUP
.
173
AV
PROPER
LORENTZ
GROUP
AND
SL(2C)
GROUP
191
1
LINK
TO
THE
SL(2,
C)
GROUP
.
191
2
LITTLE
GROUP
ASSOCIATED
WITH
A
FOUR-VECTOR
.
198
3
W2
OPERATOR
.
202
BV
COMMUTATION
RELATIONS
OF
SPIN
COMPONENTS,
PAULI
-
LUBANSKI
FOUR-VECTOR
205
1
OPERATOR
S
.
205
2
PAULI-LUBANSKI
PSEUDOVECTOR
.
207
3
ENERGY-MOMENTUM
EIGENSUBSPACE
WITH
ANY
EIGENVALUES
.
210
CV
GROUP
OF
GEOMETRIC
DISPLACEMENTS
213
1
BRIEF
REVIEW:
CLASSICAL
PROPERTIES
OF
DISPLACEMENTS
.
214
2
ASSOCIATED
OPERATORS
IN
THE
STATE
SPACE
.
223
VI
DV
SPACE
REFLECTION
(PARITY)
233
1
ACTION
IN
REAL
SPACE
.
233
2
ASSOCIATED
OPERATOR
IN
THE
STATE
SPACE
.
235
3
PARITY
CONSERVATION
.
237
VI
CONSTRUCTION
OF
STATE
SPACES
AND
WAVE
EQUATIONS
241
A
GALILEAN
GROUP,
THE
SCHRODINGER
EQUATION
.
242
B
POINCARE
GROUP,
KLEIN-GORDON,
DIRAC,
AND
WEYL
EQUATIONS
.
254
AVI
RELATIVISTIC
INVARIANCE
OF
DIRAC
EQUATION
AND
NON-RELATIVISTIC
LIMIT
273
1
RELATIVISTIC
INVARIANCE
.
273
2
NON-RELATIVISTIC
LIMIT
OF
THE
DIRAC
EQUATION
.
276
BVI
FINITE
POINCARE
TRANSFORMATIONS
AND
DIRAC
STATE
SPACE
281
1
DISPLACEMENT
GROUP
.
281
2
LORENTZ
TRANSFORMATIONS
.
283
3
STATE
SPACE
AND
DIRAC
OPERATORS
.
287
CVI
LAGRANGIANS
AND
CONSERVATION
LAWS
FOR
WAVE
EQUATIONS
293
1
COMPLEX
FIELDS
.
293
2
SCHRODINGER
EQUATION
.
295
3
KLEIN-GORDON
EQUATION
.
297
4
DIRAC
EQUATION
.
300
VII
ROTATION
GROUP,
ANGULAR
MOMENTA,
SPINORS
303
A
GENERAL
PROPERTIES
OF
ROTATION
OPERATORS
.
304
B
SPIN
1/2
PARTICULE;
SPINORS
.
323
C
ADDITION
OF
ANGULAR
MOMENTA
.
329
A
VII
ROTATION
OF
A
SPIN
1/2
AND
SU
(2)
MATRICES
339
1
MODIFICATION
OF
A
SPIN
1/2
POLARIZATION
INDUCED
BY
AN
SU(2)
MATRIX
340
2
THE
TRANSFORMATION
IS
A
ROTATION
.
341
3
HOMOMORPHISM
.
342
4
LINK
WITH
THE
CHAPTER
VII
DISCUSSION
.
344
5
LINK
WITH
DOUBLE-VALUED
REPRESENTATIONS
.
346
VII
BVII
ADDITION
OF
MORE
THAN
TWO
ANGULAR
MOMENTA
347
1
ZERO
TOTAL
ANGULAR
MOMENTUM;
3-J
COEFFICIENTS
.
347
2
6-J
WIGNER
COEFFICIENTS
.
351
VIII
TRANSFORMATION
OF
OBSERVABLES
UNDER
ROTATION
355
A
SCALAR
AND
VECTOR
OPERATORS
.
358
B
TENSOR
OPERATORS
.
363
C
WIGNER-ECKART
THEOREM
.
379
D
APPLICATIONS
AND
EXAMPLES
.
384
A
VIII
SHORT
REVIEW
OF
CLASSICAL
TENSORS
397
1
VECTORS
.
397
2
TENSORS
.
398
3
PROPERTIES
.
401
4
CRITERIUM
FOR
A
TENSOR
.
403
5
SYMMETRIC
AND
ANTISYMMETRIC
TENSORS
.
403
6
SPECIFIC
TENSORS
.
404
7
IRREDUCIBLE
TENSORS
.
405
BVIII
SECOND-ORDER
TENSOR
OPERATORS
409
1
TENSOR
PRODUCT
OF
TWO
VECTOR
OPERATORS
.
409
2
CARTESIAN
COMPONENTS
OF
THE
TENSOR
IN
THE
GENERAL
CASE
.
411
CVIN
MULTIPOLE
MOMENTS
415
1
ELECTRIC
MULTIPOLE
MOMENTS
.
416
2
MAGNETIC
MULTIPOLE
MOMENTS
.
428
3
MULTIPOLE
MOMENTS
OF
A
QUANTUM
SYSTEM
WITH
A
GIVEN
ANGULAR
MOMENTUM
J
.
434
DVIII
DENSITY
MATRIX
EXPANSION
ON
TENSOR
OPERATORS
439
1
LIOUVILLE
SPACE
.
439
2
ROTATION
TRANSFORMATION
.
441
3
BASIS
OF
THE
TX
OPERATORS
.
442
4
ROTATIONAL
INVARIANCE
IN
A
SYSTEM
'
S
EVOLUTION
.
444
IX
INTERNAL
SYMMETRIES,
SU(2)
AND
SU(3)
GROUPS
449
A
SYSTEM
OF
DISTINGUISHABLE
BUT
EQUIVALENT
PARTICLES
.
451
B
SU(2)
GROUP
AND
ISOSPIN
SYMMETRY
.
466
C
SU(3)
SYMMETRY
.
472
VIII
AIX
THE
NATURE
OF
A
PARTICLE
IS
EQUIVALENT
TO
AN
INTERNAL
QUANTUM
NUMBER
497
1
PARTIAL
OR
COMPLETE
SYMMETRIZATION,
OR
ANTISYMMETRIZATION,
OF
A
STATE
VECTOR
.
497
2
CORRESPONDENCE
BETWEEN
THE
STATES
OF
TWO
PHYSICAL
SYSTEMS
.
499
3
PHYSICAL
CONSEQUENCES
.
501
BIX
OPERATORS
CHANGING
THE
SYMMETRY
OF
A
STATE
VECTOR
BY
PERMU
TATION
503
1
FERMIONS
.
503
2
BOSONS
.
506
X
SYMMETRY
BREAKING
507
A
MAGNETISM,
BREAKING
OF
ROTATIONAL
SYMMETRY
.
508
B
A
FEW
OTHER
EXAMPLES
.
515
APPENDIX
521
TIME
REVERSAL
521
1
TIME
REVERSAL
IN
CLASSICAL
MECHANICS
.
522
2
ANTILINEAR
AND
ANTIUNITARY
OPERATORS
IN
QUANTUM
MECHANICS
.
527
3
TIME
REVERSAL
AND
ANTILINEARITY
.
534
4
EXPLICIT
FORM
OF
THE
TIME
REVERSAL
OPERATOR
.
542
5
APPLICATIONS
.
546 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Laloë, Franck 1940- |
| author2 | Ostrowsky, Nicole Ostrowsky, Dan |
| author2_role | trl trl |
| author2_variant | n o no d o do |
| author_GND | (DE-588)118103911 (DE-588)1013912551 (DE-588)1229390456 |
| author_facet | Laloë, Franck 1940- Ostrowsky, Nicole Ostrowsky, Dan |
| author_role | aut |
| author_sort | Laloë, Franck 1940- |
| author_variant | f l fl |
| building | Verbundindex |
| bvnumber | BV049064057 |
| classification_rvk | UK 3000 |
| ctrlnum | (OCoLC)1371419977 (DE-599)DNB1281860107 |
| discipline | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a22000008c 4500</leader><controlfield tag="001">BV049064057</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20240531</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">230724s2023 gw a||| |||| 00||| eng d</controlfield><datafield tag="015" ind1=" " ind2=" "><subfield code="a">23,N09</subfield><subfield code="2">dnb</subfield></datafield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">1281860107</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3527414169</subfield><subfield code="9">3-527-41416-9</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783527414161</subfield><subfield code="c">: circa EUR 99.00 (DE) (freier Preis), circa EUR 101.80 (AT) (freier Preis)</subfield><subfield code="9">978-3-527-41416-1</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9783527414161</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">Bestellnummer: 1141416 000</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1371419977</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)DNB1281860107</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">XA-DE-BW</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UK 3000</subfield><subfield code="0">(DE-625)145799:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="8">1\p</subfield><subfield code="a">530</subfield><subfield code="2">23sdnb</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Laloë, Franck</subfield><subfield code="d">1940-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)118103911</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Introduction to continuous symmetries</subfield><subfield code="b">from space-time to quantum mechanics</subfield><subfield code="c">Franck Laloë ; translated by Nicole and Dan Ostrowsky</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Weinheim</subfield><subfield code="b">Wiley-VCH</subfield><subfield code="c">[2023]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">© 2023</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">xiv, 562 Seiten</subfield><subfield code="b">Illustrationen, Diagramme</subfield><subfield code="c">24.4 cm x 17 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kontinuierliche Gruppe</subfield><subfield code="0">(DE-588)4165160-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Symmetrie</subfield><subfield code="0">(DE-588)4058724-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quantenmechanik</subfield><subfield code="0">(DE-588)4047989-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Applied Mathematics in Science</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">CH00: Allg. Chemie</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Chemie</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Chemistry</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">MA21: Mathematik in den Naturwissenschaften</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematics</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematik</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematik in den Naturwissenschaften</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">PHG0: Theoretische Physik</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Physics</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Physik</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theoretical Physics</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theoretische Physik</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4123623-3</subfield><subfield code="a">Lehrbuch</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Quantenmechanik</subfield><subfield code="0">(DE-588)4047989-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Symmetrie</subfield><subfield code="0">(DE-588)4058724-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Kontinuierliche Gruppe</subfield><subfield code="0">(DE-588)4165160-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ostrowsky, Nicole</subfield><subfield code="0">(DE-588)1013912551</subfield><subfield code="4">trl</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ostrowsky, Dan</subfield><subfield code="0">(DE-588)1229390456</subfield><subfield code="4">trl</subfield></datafield><datafield tag="710" ind1="2" ind2=" "><subfield code="a">Wiley-VCH</subfield><subfield code="0">(DE-588)16179388-5</subfield><subfield code="4">pbl</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, PDF</subfield><subfield code="z">978-3-527-84054-0</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Online-Ausgabe, EPUB</subfield><subfield code="z">978-3-527-84053-3</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">X:MVB</subfield><subfield code="u">http://www.wiley-vch.de/publish/dt/books/ISBN978-3-527-41416-1/</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034326147&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">vlb</subfield><subfield code="d">20230224</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#vlb</subfield></datafield></record></collection> |
| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV049064057 |
| illustrated | Illustrated |
| index_date | 2024-07-03T22:25:05Z |
| indexdate | 2024-07-20T06:37:38Z |
| institution | BVB |
| institution_GND | (DE-588)16179388-5 |
| isbn | 3527414169 9783527414161 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034326147 |
| oclc_num | 1371419977 |
| open_access_boolean | |
| owner | DE-29T DE-19 DE-BY-UBM DE-703 DE-11 DE-20 DE-83 |
| owner_facet | DE-29T DE-19 DE-BY-UBM DE-703 DE-11 DE-20 DE-83 |
| physical | xiv, 562 Seiten Illustrationen, Diagramme 24.4 cm x 17 cm |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Wiley-VCH |
| record_format | marc |
| spelling | Laloë, Franck 1940- Verfasser (DE-588)118103911 aut Introduction to continuous symmetries from space-time to quantum mechanics Franck Laloë ; translated by Nicole and Dan Ostrowsky Weinheim Wiley-VCH [2023] © 2023 xiv, 562 Seiten Illustrationen, Diagramme 24.4 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier Kontinuierliche Gruppe (DE-588)4165160-1 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Applied Mathematics in Science CH00: Allg. Chemie Chemie Chemistry MA21: Mathematik in den Naturwissenschaften Mathematics Mathematik Mathematik in den Naturwissenschaften PHG0: Theoretische Physik Physics Physik Theoretical Physics Theoretische Physik (DE-588)4123623-3 Lehrbuch gnd-content Quantenmechanik (DE-588)4047989-4 s Symmetrie (DE-588)4058724-1 s Kontinuierliche Gruppe (DE-588)4165160-1 s DE-604 Ostrowsky, Nicole (DE-588)1013912551 trl Ostrowsky, Dan (DE-588)1229390456 trl Wiley-VCH (DE-588)16179388-5 pbl Erscheint auch als Online-Ausgabe, PDF 978-3-527-84054-0 Erscheint auch als Online-Ausgabe, EPUB 978-3-527-84053-3 X:MVB http://www.wiley-vch.de/publish/dt/books/ISBN978-3-527-41416-1/ DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034326147&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20230224 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Laloë, Franck 1940- Introduction to continuous symmetries from space-time to quantum mechanics Kontinuierliche Gruppe (DE-588)4165160-1 gnd Symmetrie (DE-588)4058724-1 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4165160-1 (DE-588)4058724-1 (DE-588)4047989-4 (DE-588)4123623-3 |
| title | Introduction to continuous symmetries from space-time to quantum mechanics |
| title_auth | Introduction to continuous symmetries from space-time to quantum mechanics |
| title_exact_search | Introduction to continuous symmetries from space-time to quantum mechanics |
| title_exact_search_txtP | Introduction to continuous symmetries from space-time to quantum mechanics |
| title_full | Introduction to continuous symmetries from space-time to quantum mechanics Franck Laloë ; translated by Nicole and Dan Ostrowsky |
| title_fullStr | Introduction to continuous symmetries from space-time to quantum mechanics Franck Laloë ; translated by Nicole and Dan Ostrowsky |
| title_full_unstemmed | Introduction to continuous symmetries from space-time to quantum mechanics Franck Laloë ; translated by Nicole and Dan Ostrowsky |
| title_short | Introduction to continuous symmetries |
| title_sort | introduction to continuous symmetries from space time to quantum mechanics |
| title_sub | from space-time to quantum mechanics |
| topic | Kontinuierliche Gruppe (DE-588)4165160-1 gnd Symmetrie (DE-588)4058724-1 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Kontinuierliche Gruppe Symmetrie Quantenmechanik Lehrbuch |
| url | http://www.wiley-vch.de/publish/dt/books/ISBN978-3-527-41416-1/ http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034326147&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT laloefranck introductiontocontinuoussymmetriesfromspacetimetoquantummechanics AT ostrowskynicole introductiontocontinuoussymmetriesfromspacetimetoquantummechanics AT ostrowskydan introductiontocontinuoussymmetriesfromspacetimetoquantummechanics AT wileyvch introductiontocontinuoussymmetriesfromspacetimetoquantummechanics |