The physics of Ettore Majorana: phenomenological, theoretical and mathematical
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2015
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 382 S. graph. Darst. 26 cm |
| ISBN: | 1107044022 9781107044029 |
Internformat
MARC
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| 001 | BV042133568 | ||
| 003 | DE-604 | ||
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| 008 | 141017s2015 d||| |||| 00||| eng d | ||
| 020 | |a 1107044022 |c hardback |9 1-107-04402-2 | ||
| 020 | |a 9781107044029 |c hardback |9 978-1-107-04402-9 | ||
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| 035 | |a (DE-599)BVBBV042133568 | ||
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| 049 | |a DE-188 |a DE-12 |a DE-210 |a DE-91G | ||
| 084 | |a PHY 007f |2 stub | ||
| 100 | 1 | |a Esposito, Salvatore |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The physics of Ettore Majorana |b phenomenological, theoretical and mathematical |c Salvatore Esposito |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2015 | |
| 300 | |a XI, 382 S. |b graph. Darst. |c 26 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 600 | 1 | 7 | |a Majorana, Ettore |d 1906-1938 |0 (DE-588)119062720 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Physik |0 (DE-588)4045956-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4006804-3 |a Biografie |2 gnd-content | |
| 689 | 0 | 0 | |a Majorana, Ettore |d 1906-1938 |0 (DE-588)119062720 |D p |
| 689 | 0 | 1 | |a Physik |0 (DE-588)4045956-1 |D s |
| 689 | 0 | |5 DE-604 | |
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| 689 | 1 | |C b |5 DE-604 | |
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Datensatz im Suchindex
| _version_ | 1804152614197133312 |
|---|---|
| adam_text | CONTENTS
ACKNOWLEDGMENTS
PART I INTRODUCING
THE
CHARACTER
LIFE
AND MYTH
1.1
FORTUNES
AND
MISFORTUNES
OF A GENIUS
1.2 FAMILY
AND
UNIVERSITY
TRAINING
1.3 LONE
PHYSICIST
IN
THE
FERMI
GROUP
1.4
LEIPZIG-ROME-NAPLES:
THE
LATER
YEARS
2 THE
VISIBLE
SIDE
2.1 TEN
PAPERS
DEPICTING
THE
FUTURE
2.2
INTRODUCING
THE
DIRAC
EQUATION
INTO
ATOMIC SPECTROSCOPY
2.3 SPONTANEOUS
IONIZATION
2.3.1 ANOMALOUS
TERMS
IN HELIUM
2.3.2 INCOMPLETE
P
TRIPLETS
2.3.3 MAJORANA-FANO-FESHBACH
RESONANCES
2.4 CHEMICAL BONDING
2.4.1 HELIUM
MOLECULAR
ION
2.4.2 MAJORANA
STRUCTURES
2.5 NON-ADIABATIC
SPIN-FLIP
2.5.1 MAJORANA
SPHERE
AND
A GENERAL
THEOREM
2.5.2 LANDAU-ZENER
PROBABILITY
FORMULA
2.5.3 MAJORANA S
HOLES
2.5.4 MAJORANA-BROSSEL
EFFECT
2.6
NUCLEAR
FORCES
2.6.1
THE
HEISENBERG
MODEL OF NUCLEAR
INTERACTIONS
2.6.2 MAJORANA S
EXCHANGE
MECHANISM
PAGE XII
I
3
3
6
9
12
17
17
18
19
19
21
23
24
24
26
27
28
30
31
32
33
33
35
VI
CONTENTS
2.6.3
THOMAS-FERMI
FORMALISM
AND
YUKAWA
POTENTIAL
37
2.7
INFINITE-COMPONENT
EQUATION
38
2.7.1 A
SUCCESSFUL
RELATIVISTIC
WAVE
EQUATION
39
2.7.2 MAJORANA
EQUATION
40
2.7.3
INFINITE-DIMENSIONAL
REPRESENTATIONS
OF
THE
LORENTZ
GROUP
41
2.7.4
A
DIFFICULT
PROBLEM
FOR
PAULI
AND
FIERZ
42
2.7.5 FURTHER
ELABORATIONS
44
2.8 MAJORANA
NEUTRINO
THEORY
47
2.8.1
SYMMETRIC
DIRAC
EQUATION
47
2.8.2 NEUTRINO-ANTINEUTRINO
IDENTITY
49
2.8.3 RACAH
AND
THE
NEUTRINOLESS
DOUBLE
SS-DECAY
50
2.8.4
PONTECORVO
AND
THE
NEUTRINO
OSCILLATIONS
51
2.8.5 MAJORANA
FERMIONS
52
2.9
COMPLEX
SYSTEMS
IN
PHYSICS
AND ECONOMICS
53
2.9.1
GENESIS
OF
PAPER
N. 10
54
2.9.2
STATISTICAL
LAWS IN
SOCIAL
SCIENCES
55
2.9.3
A
SENSATIONAL
SUCCESS
IN
ECONOPHYSICS
57
PART II
ATOMIC
PHYSICS
61
3
TWO-ELECTRON
PROBLEM
63
3.1 A
LONG-LASTING
SUCCESS
FOR
QUANTUM
MECHANICS
63
3.2 KNOWN
SOLUTIONS
TO THE
HELIUM
ATOM
PROBLEM
64
3.2.1
PERTURBATIVE
CALCULATIONS
64
3.2.2
VARIATIONAL
METHOD
I
66
3.2.3
SELF-CONSISTENT
FIELD
METHOD
68
3.2.4
SLATER S
REFINEMENT
69
3.2.5 VARIATIONAL
METHOD
II: HYLLERAAS
VARIABLES
70
3.2.6 HELIUM-LIKE
IONS
71
3.3 MAJORANA
EMPIRICAL
RELATIONS
72
3.4
HELIUM
WAVEFUNCTIONS
AND
BROAD
RANGE
ESTIMATES
76
3.5
ACCURATE
NUMBERS
AND
A GENERAL
THEORY
78
3.5.1
A
SIMPLER
ALTERNATIVE
TO
HYLLERAAS S
METHOD
78
3.5.2
MAJORANA S
VARIANT
OF
THE
VARIATIONAL
METHOD
79
3.6
CONCLUSIONS
81
4
THOMAS-FERMI
MODEL
83
4.1 FERMI
UNIVERSAL
POTENTIAL
83
4.1.1 THOMAS-FERMI
EQUATION
83
CONTENTS
VII
4.1.2 NUMERICAL
AND
APPROXIMATE
SOLUTIONS
4.1.3 MATHEMATICAL
PROPERTIES
4.2 MAJORANA
SOLUTION
OF
THE
THOMAS-FERMI
EQUATION
4.2.1 TRANSFORMATION
INTO
AN
ABEL
EQUATION
4.2.2
ANALYTIC
SERIES
SOLUTION
4.2.3
NUMERICAL
TABLES
4.3
MATHEMATICAL
GENERALIZATIONS
4.3.1 FROBENIUS
METHOD
4.3.2
SCALE-INVARIANT
DIFFERENTIAL
EQUATIONS
4.4
PHYSICAL
APPLICATIONS
4.4.1 MODIFIED
FERMI
POTENTIAL
FOR HEAVY
ATOMS
4.4.2
SECOND
APPROXIMATION
FOR
THE
ATOMIC
POTENTIAL
4.4.3
ATOMIC
POLARIZABILITY
4.4.4
APPLICATIONS
TO
MOLECULES
4.5
CONCLUSIONS
PART III
NUCLEAR
AND
STATISTICAL
PHYSICS
5
QUASI-STATIONARY
NUCLEAR
STATES
5.1
PROBING
THE
ATOMIC
NUCLEUS
WITH
A PARTICLES
5.2 SCATTERING
OF A
PARTICLES
ON A RADIOACTIVE
NUCLEUS
5.2.1
QUANTUM-MECHANICAL
THEORY
5.2.2 THERMODYNAMIC
APPROACH
5.3 TRANSITION
PROBABILITIES
OF QUASI-STATIONARY
STATES
5.3.1
TRANSITIONS
FROM
A
DISCRETE
INTO
A CONTINUUM
STATE
5.3.2 TRANSITIONS
INTO
TWO
CONTINUOUS
SPECTRA
5.3.3 TRANSITIONS
FROM
A CONTINUUM
STATE
5.4
NUCLEAR
DISINTEGRATION
BY
A
PARTICLES
5.4.1 STATEMENT
OF
THE
PROBLEM
5.4.2 THE
APPROPRIATE WAVEFUNCTION
5.4.3
CROSS
SECTION
5.5 CONCLUSIONS
THEORY
OF
FERROMAGNETISM
6.1
TOWARDS
A STATISTICAL
THEORY
OF
FERROMAGNETISM
6.1.1
MOLECULAR
FIELDS
6.1.2 HEISENBERG
THEORY
6.1.3 LATER
REFINEMENTS
6.2
MAJORANA
STATISTICAL
MODEL
6.2.1 DISTRIBUTION
FUNCTION
85
86
87
87
89
92
93
93
95
97
98
100
102
103
105
107
109
109
111
111
115
116
116
118
118
119
119
121
122
124
127
1.28
128
129
131
131
134
VIII
CONTENTS
6.3 SOLUTION
OF
THE
MODEL
IN
THE
CONTINUUM
LIMIT
6.3.1
PARTITION
FUNCTION
AT
FINITE
TEMPERATURE
6.3.2 MEAN
MAGNETIZATION
6.4 APPLICATIONS
AND
FURTHER
RESULTS
6.4.1
PARTICULAR
FERROMAGNETIC
GEOMETRIES
6.4.2 CRITICAL
TEMPERATURE
AND
DIMENSIONALITY
6.5 CONCLUSIONS
136
138
139
141
141
143
144
PART IV RELATIVISTIC
FIELDS
AND
GROUP
THEORY
147
7
GROUPS
AND
THEIR
APPLICATIONS
TO
QUANTUM
MECHANICS
149
7.1
THE GRUPPENPEST
IN
QUANTUM
MECHANICS
150
7.2 UNITARY
TRANSFORMATIONS
IN
TWO
DIMENSIONS
153
7.2.1
DJ
REPRESENTATION
AND
GROUP GENERATORS
154
7.3
THREE-DIMENSIONAL
ROTATIONS
156
7.3.1
GROUP
GENERATORS
157
7.4 APPLICATION:
THE
ANOMALOUS
ZEEMAN
EFFECT
160
7.5 LORENTZ
GROUP
AND
ITS
REPRESENTATIONS
164
7.5.1
N-DIMENSIONAL
DIRAC
MATRICES
164
7.5.2
SPECIAL
CASE:
MAXIMUM
ALLOWED P
FOR FIXED
N
167
7.5.3
NON-HERMITIAN
OPERATORS
169
7.5.4
INFINITE-DIMENSIONAL
UNITARY
REPRESENTATIONS
170
7.6
CONCLUSIONS
173
8 DIRAC
EQUATIONS
AND SOME
ALTERNATIVES
175
8.1
SEARCHING
FOR
AN EQUATION
175
8.1.1 MASSIVE
PHOTONS
AND
THE
DKP
ALGEBRA
178
8.1.2 DIRAC-FIERZ-PAULI
FORMALISM
180
8.1.3
GENERAL
EQUATIONS
FOR
ARBITRARY
SPIN
182
8.2 MAJORANA
N-COMPONENT
SPINOR
EQUATIONS
184
8.2.1 THE
16-COMPONENT
EQUATION
FOR
A
TWO-PARTICLE
SYSTEM
185
8.2.2 EQUATION
FOR
A
SIX-COMPONENT
SPINOR
187
8.2.3 FIVE-COMPONENT
EQUATION
189
8.3 PARALLEL
LIVES (AND
FINDINGS)
189
8.4 CONCLUSIONS
191
PART V
QUANTUM
FIELD
THEORY
193
9
SCALAR
ELECTRODYNAMICS
195
9.1
EARLY
QUANTUM ELECTRODYNAMICS
196
CONTENTS
9.1.1 QUANTUM
FIELD
FORMALISM
9.1.2 PARTICLES
AND
ANTIPARTICLES
9.1.3 PAULI-WEISSKOPF
THEORY
9.2 MAJORANA
THEORY
OF SCALAR
ELECTRODYNAMICS
I
9.3 MAJORANA
THEORY
OF SCALAR
ELECTRODYNAMICS
II
9.4 APPLICATION
TO
THE
NUCLEAR
STRUCTURE
9.5 CONCLUSIONS
10
PHOTONS
AND
ELECTRONS
10.1 PHOTON
WAVE
MECHANICS
10.1.1
MAJORANA-OPPENHEIMER
FORMULATION
OF
ELECTRODYNAMICS
10.1.2
LORENTZ-INVARIANT
WAVE
THEORY
10.1.3
TWO-COMPONENT
THEORY
10.1.4 FIELD
QUANTIZATION
10.2
DYNAMICAL
THEORY
OF ELECTRONS
AND
HOLES
10.3 CONCLUSIONS
IX
196
198
198
201
205
209
212
214
215
215
217
219
220
221
224
PART VI
FUNDAMENTAL THEORIES
AND OTHER
TOPICS
227
11 A PATH
INTEGRAL
APPROACH
TO
QUANTUM
MECHANICS
229
11.1
DIRAC
AND
FEYNMAN S
MATHEMATICAL
APPROACH
230
11.2 MAJORANA S
PHYSICAL APPROACH
232
11.3
CONCLUSIONS
234
12 FUNDAMENTAL
LENGTHS
AND
TIMES
236
12.1
INTRODUCING
ELEMENTARY
SPACE-TIME
LENGTHS
236
12.2
QUASI-COULOMBIAN
SCATTERING
239
12.3 INTRINSIC
TIME
DELAY
AND RETARDED
ELECTROMAGNETIC
FIELDS
242
12.4 CONCLUSIONS
244
13 MAJORANA S
MULTIFACETED
LIFE
246
13.1 MAJORANA
AS A
STUDENT
246
13.1.1
MELTING
POINT SHIFT
DUE
TO
A MAGNETIC
FIELD
246
13.1.2
DETERMINATION
OF A
FUNCTION
FROM ITS
MOMENTS
248
13.1.3
WKB
METHOD
FOR DIFFERENTIAL
EQUATIONS
251
13.2 MAJORANA
AS A
PHENOMENOLOGIST: SPONTANEOUS
AND
INDUCED
IONIZATION
OF
A
HYDROGEN
ATOM
254
13.2.1
HYDROGEN
ATOM
PLACED
IN
A
HIGH
POTENTIAL REGION
255
13.2.2
IONIZATION
OF A
HYDROGEN-LIKE
ATOM
IN
AN ELECTRIC
FIELD 260
13.3 MAJORANA
AS A
THEORETICIAN:
A UNIFYING
MODEL
FOR
THE
FUNDAMENTAL
CONSTANTS
263
X
CONTENTS
13.4 MAJORANA
AS
A MATHEMATICIAN
13.4.1
IMPROPER
OPERATORS
13.4.2
CUBIC
SYMMETRY
13.5 MAJORANA
AS A
TEACHER
PART VII
BEYOND MAJORANA
14 MAJORANA
AND
CONDENSED MATTER
PHYSICS
F. WILCZEK
264
264
266
270
277
279
14.1 SPIN
RESPONSE
AND UNIVERSAL CONNECTION
280
14.2 LEVEL
CROSSING
AND
GENERALIZED
LAPLACE
TRANSFORM
282
14.3
MAJORANA FERMIONS
AND
MAJORANA
MASS:
FROM
NEUTRINOS
TO
ELECTRONS
285
14.3.1
MAJORANA S
EQUATION
285
14.3.2 ANALYSIS
OF
MAJORANA
NEUTRINOS
287
14.3.3 MAJORANA
MASS
289
14.3.4
MAJORANA
ELECTRONS
292
14.4
MAJORINOS
293
14.4.1
KITAEV
CHAIN
294
14.4.2 JUNCTIONS
AND
THE
ALGEBRAIC
GENESIS OF MAJORINOS
298
14.4.3 CONTINUUM
MAJORINOS
301
15
MAJORANA
NEUTRINOS
AND
OTHER
MAJORANA
PARTICLES:
THEORY
AND EXPERIMENT
303
E.
AKHMEDOV
15.1 WEYL, DIRAC,
AND
MAJORANA FERMIONS 304
15.1.1
PARTICLE-ANTIPARTICLE
CONJUGATION
306
15.1.2
DIRAC DYNAMICS
AND
THE
MAJORANA
CONDITION
307
15.1.3 FERMION
MASS
TERMS
AND
U(1)
SYMMETRIES
312
15.1.4 FEYNMAN
RULES
FOR
MAJORANA
PARTICLES
313
15.2 C,
P,
CP,
AND
CPT
PROPERTIES OF
MAJORANA
FERMIONS
314
15.3 MIXING
AND
OSCILLATIONS OF
MAJORANA
NEUTRINOS
317
15.3.1
NEUTRINOS
WITH A
MAJORANA
MASS
TERM
317
15.3.2 GENERAL
CASE
OF
DIRAC
+
MAJORANA
MASS
TERM
322
15.3.3 DIRAC
AND PSEUDO-DIRAC
NEUTRINO
LIMITS
IN
THE
D+M
CASE
325
15.4 SEESAW
MECHANISM
OF NEUTRINO MASS
GENERATION
327
15.5 ELECTROMAGNETIC
PROPERTIES OF
MAJORANA
NEUTRINOS
330
15.6
MAJORANA
PARTICLES
IN SUSY
THEORIES
338
CONTENTS
XI
15.7 EXPERIMENTAL
SEARCHES
FOR MAJORANA
NEUTRINOS AND OTHER
MAJORANA
PARTICLES
339
15.7.1 NEUTRINOLESS
DOUBLE SS-DECAY
AND RELATED PROCESSES
339
15.7.2
OTHER
LEPTON-NUMBER-VIOLATING
PROCESSES
344
15.8 BARYOGENESIS
THROUGH
LEPTOGENESIS
AND
MAJORANA
NEUTRINOS
346
15.9 MISCELLANEOUS
350
15.10 SUMMARY
AND
CONCLUSIONS
352
APPENDIX
MOLECULAR BONDING
IN
QUANTUM
MECHANICS
354
A. 1 ON
THE
MEANING
OF QUANTUM
STATE
354
A.
2 SYMMETRY
PROPERTIES
OF A
SYSTEM
IN
CLASSICAL AND QUANTUM
MECHANICS
356
A. 3 RESONANCE
FORCES BETWEEN
STATES
THAT
CANNOT
BE
SYMMETRIZED
FOR
SMALL
PERTURBATIONS
AND SPECTROSCOPIC
CONSEQUENCES.
THEORY
OF
HOMOPOLAR
VALENCE
ACCORDING
TO THE
METHOD OF
BONDING
ELECTRONS.
PROPERTIES
OF
THE
SYMMETRIZED STATES
THAT
ARE
NOT
OBTAINED
FROM
NON-SYMMETRIZED
ONES WITH A
WEAK
PERTURBATION
358
REFERENCES
364
AUTHOR INDEX
377
SUBJECT INDEX
379
|
| any_adam_object | 1 |
| author | Esposito, Salvatore |
| author_facet | Esposito, Salvatore |
| author_role | aut |
| author_sort | Esposito, Salvatore |
| author_variant | s e se |
| building | Verbundindex |
| bvnumber | BV042133568 |
| classification_tum | PHY 007f |
| ctrlnum | (OCoLC)900794172 (DE-599)BVBBV042133568 |
| discipline | Physik |
| edition | 1. publ. |
| format | Book |
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| genre | (DE-588)4006804-3 Biografie gnd-content |
| genre_facet | Biografie |
| id | DE-604.BV042133568 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:13:31Z |
| institution | BVB |
| isbn | 1107044022 9781107044029 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027573686 |
| oclc_num | 900794172 |
| open_access_boolean | |
| owner | DE-188 DE-12 DE-210 DE-91G DE-BY-TUM |
| owner_facet | DE-188 DE-12 DE-210 DE-91G DE-BY-TUM |
| physical | XI, 382 S. graph. Darst. 26 cm |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Esposito, Salvatore Verfasser aut The physics of Ettore Majorana phenomenological, theoretical and mathematical Salvatore Esposito 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2015 XI, 382 S. graph. Darst. 26 cm txt rdacontent n rdamedia nc rdacarrier Majorana, Ettore 1906-1938 (DE-588)119062720 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf (DE-588)4006804-3 Biografie gnd-content Majorana, Ettore 1906-1938 (DE-588)119062720 p Physik (DE-588)4045956-1 s DE-604 b DE-604 Digitalisierung Deutsches Museum application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027573686&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Esposito, Salvatore The physics of Ettore Majorana phenomenological, theoretical and mathematical Majorana, Ettore 1906-1938 (DE-588)119062720 gnd Physik (DE-588)4045956-1 gnd |
| subject_GND | (DE-588)119062720 (DE-588)4045956-1 (DE-588)4006804-3 |
| title | The physics of Ettore Majorana phenomenological, theoretical and mathematical |
| title_auth | The physics of Ettore Majorana phenomenological, theoretical and mathematical |
| title_exact_search | The physics of Ettore Majorana phenomenological, theoretical and mathematical |
| title_full | The physics of Ettore Majorana phenomenological, theoretical and mathematical Salvatore Esposito |
| title_fullStr | The physics of Ettore Majorana phenomenological, theoretical and mathematical Salvatore Esposito |
| title_full_unstemmed | The physics of Ettore Majorana phenomenological, theoretical and mathematical Salvatore Esposito |
| title_short | The physics of Ettore Majorana |
| title_sort | the physics of ettore majorana phenomenological theoretical and mathematical |
| title_sub | phenomenological, theoretical and mathematical |
| topic | Majorana, Ettore 1906-1938 (DE-588)119062720 gnd Physik (DE-588)4045956-1 gnd |
| topic_facet | Majorana, Ettore 1906-1938 Physik Biografie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027573686&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT espositosalvatore thephysicsofettoremajoranaphenomenologicaltheoreticalandmathematical |