The nuclear shell modell:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | Undetermined |
| Published: |
Berlin u.a.
Springer
1994
|
| Edition: | Study ed., 2., corr. and enl. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 438 S. graph. Darst. 1 Diskette 3.5" |
| ISBN: | 3540580727 0387580727 |
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MARC
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| 100 | 1 | |a Heyde, Kris L. G. |d 1942- |e Verfasser |0 (DE-588)118003089 |4 aut | |
| 245 | 1 | 0 | |a The nuclear shell modell |c Kris L. G. Heyde |
| 250 | |a Study ed., 2., corr. and enl. ed. | ||
| 264 | 1 | |a Berlin u.a. |b Springer |c 1994 | |
| 300 | |a XV, 438 S. |b graph. Darst. |e 1 Diskette 3.5" | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| adam_text |
CONTENTS
INTRODUCTION
'
.
1
1.
ANGULAR
MOMENTUM
IN
QUANTUM
MECHANICS
.
4
1.1
CENTRAL
FORCE
PROBLEM
AND
ORBITAL
ANGULAR
MOMENTUM
.
4
1.2
GENERAL
DEFINITIONS
OF
ANGULAR
MOMENTUM
.
12
1.2.1
MATRIX
REPRESENTATIONS
.
13
1.2.2
EXAMPLE
FOR
SPIN
|
PARTICLES
.
13
1.3
TOTAL
ANGULAR
MOMENTUM
FOR
A
SPIN
|
PARTICLE
.
14
1.4
COUPLING
OF
TWO
ANGULAR
MOMENTA:
CLEBSCH-GORDAN
COEFFICIENTS
.
17
1.5
PROPERTIES
OF
CLEBSCH-GORDAN
COEFFICIENTS
.
20
1.6
RACAH
RECOUPLING
COEFFICIENTS:
COUPLING
OF
THREE
ANGULAR
MOMENTA
.
22
1.7
SYMMETRY
PROPERTIES
OF
6J-SYMBOLS
.
24
1.8
WIGNER
9J-SYMBOLS:
COUPLING
AND
RECOUPLING
OF
FOUR
ANGULAR
MOMENTA
.
25
1.9
CLASSICAL
LIMIT
OF
WIGNER
3J
-SYMBOLS
.
27
SHORT
OVERVIEW
OF
ANGULAR
MOMENTUM
COUPLING
FORMULAS
.
28
PROBLEMS
.
31
2.
ROTATIONS
IN
QUANTUM
MECHANICS
.
33
2.1
ROTATION
OF
A
SCALAR
FIELD-ROTATION
GROUP
0(3)
.
33
2.2
GENERAL
GROUPS
OF
TRANSFORMATIONS
.
37
2.3
REPRESENTATIONS
OF
THE
ROTATION
OPERATOR
.
39
2.3.1
THE
WIGNER
D-MATRICES
.
39
2.3.2
THE
GROUP
SE7(2)-RELATION
WITH
50(3)
.
40
2.3.3
APPLICATION:
GEOMETRIC
INTERPRETATION
OF
INTRINSIC
SPIN
|
.
42
2.4
PRODUCT
REPRESENTATIONS
AND
IRREDUCIBILITY
.
45
2.5
CARTESIAN
TENSORS,
SPHERICAL
TENSORS,
IRREDUCIBLE
TENSORS
.
47
2.6 TENSOR
PRODUCT
.
49
2.7
SPHERICAL
TENSOR
OPERATORS:
THE
WIGNER-ECKART
THEOREM
.
50
2.8
CALCULATION
OF
MATRIX
ELEMENTS
.
52
2.8.1
REDUCTION
RULE
I
.
52
2.8.2
REDUCTION
RULE
II
.
53
XII
CONTENTS
2.9
SUMMARY
OF
CHAPS.
1
AND
2
.
54
SHORT
OVERVIEW
OF
ROTATION
PROPERTIES,
TENSOR
OPERATORS,
MATRIX
ELEMENTS
.
55
PROBLEMS
.
56
3.
THE
NUCLEAR
SHELL
MODEL
.
58
3.1
ONE-PARTICLE
EXCITATIONS
.
58
3.1.1
INTRODUCTION
.
58
3.1.2
THE
RADIAL
EQUATION
AND
THE
SINGLE-PARTICLE
SPECTRUM:
THE
HARMONIC
OSCILLATOR
IN
THE
SHELL
MODEL
.
65
3.1.3
ILLUSTRATIVE
EXAMPLES
OF
ENERGY
SPECTRA
.
71
3.1.4
HARTREE-FOCK
METHODS:
A
SIMPLE
APPROACH
.
74
3.2
TWO-PARTICLE
SYSTEMS:
IDENTICAL
NUCLEONS
.
78
3.2.1
TWO-PARTICLE
WAVEFUNCTIONS
.
78
3.2.2
TWO-PARTICLE
RESIDUAL
INTERACTION
.
81
3.2.3
CALCULATION
OF
TWO-BODY
MATRIX
ELEMENTS
.
91
3.2.4
CONFIGURATION
MIXING:
MODEL
SPACE
AND
MODEL
INTERACTION
.
106
3.3
THREE-PARTICLE
SYSTEMS
AND
BEYOND
.
114
3.3.1
THREE-PARTICLE
WAVE
FUNCTIONS
.
114
3.3.2
EXTENSION
TO
N-PARTICLE
WAVE
FUNCTIONS
.
118
3.3.3
SOME
APPLICATIONS:
THREE-PARTICLE
SYSTEMS
.
121
3.4
NON-IDENTICAL
PARTICLE
SYSTEMS:
ISOSPIN
.
125
3.4.1
ISOSPIN:
INTRODUCTION
AND
CONCEPTS
.
125
3.4.2
ISOSPIN
FORMALISM
.
127
3.4.3
TWO-BODY
MATRIX
ELEMENTS
WITH
ISOSPIN
.
137
3.5
LARGE-SCALE
SHELL-MODEL
CALCULATIONS
.
141
3.6
TESTING
SINGLE-PARTICLE
MOTION
IN
AN
AVERAGE
FIELD
.
143
3.7
SUMMARY
.
147
PROBLEMS
.
148
4.
ELECTROMAGNETIC
PROPERTIES
IN
THE
SHELL
MODEL
.
155
4.1
GENERAL
.
155
4.2
ELECTRIC
AND
MAGNETIC
MULTIPOLE
OPERATORS
.
156
4.3
SINGLE-PARTICLE
ESTIMATES
AND
EXAMPLES
.
158
4.4
ELECTROMAGNETIC
TRANSITIONS
IN
TWO-PARTICLE
SYSTEMS
.
164
4.5
QUADRUPOLE
MOMENTS
.
168
4.5.1
SINGLE-PARTICLE
QUADRUPOLE
MOMENT
.
168
4.5.2
TWO-PARTICLE
QUADRUPOLE
MOMENT
.
171
4.5.3
QUADRUPOLE
MOMENTS
FOR
N-PARTICLE
STATES
.
172
4.6
MAGNETIC
DIPOLE
MOMENT
.
173
4.6.1
SINGLE-PARTICLE
MOMENT:
SCHMIDT
VALUES
.
174
4.6.2
TWO-PARTICLE
DIPOLE
MOMENT
.
176
4.6.3
COLLECTIVE
ADMIXTURES
.
177
CONTENTS
XIII
4.7
ADDITIVITY
RULES
FOR
STATIC
MOMENTS
.
178
4.8
SUMMARY
.
182
PROBLEMS
.
182
5.
SECOND
QUANTIZATION
.
184
5.1
CREATION
AND
ANNIHILATION
OPERATORS
.
184
5.2
OPERATORS
IN
SECOND
QUANTIZATION
.
188
5.3
ANGULAR
MOMENTUM
COUPLING
IN
SECOND
QUANTIZATION
.
192
5.4
HOLE
OPERATORS
IN
SECOND
QUANTIZATION
.
194
5.5
NORMAL
ORDERING,
CONTRACTION,
WICK
'
S
THEOREM
.
197
5.6
APPLICATION
TO
THE
HARTREE-FOCK
FORMALISM
.
200
5.7
SUMMARY
.
202
PROBLEMS
.
202
6.
ELEMENTARY
MODES
OF
EXCITATION:
PARTICLE-HOLE
EXCITATIONS
AT
CLOSED
SHELLS
.
204
6.1
GENERAL
.
204
6.2
THE
TDA
APPROXIMATION
.
206
6.3
THE
RPA
APPROXIMATION
.
211
6.4
APPLICATION
OF
THE
STUDY
OF
IP
-
IH
EXCITATIONS:
16
O
.
217
6.5
SUMMARY
.
221
PROBLEMS
.
222
7.
PAIRING
CORRELATIONS:
PARTICLE-PARTICLE
EXCITATIONS
IN
OPEN-SHELL
NUCLEI
.
224
7.1
INTRODUCTION
.
224
7.2
PAIRING
IN
A
DEGENERATE
SINGLE
J
-SHELL
.
227
7.3
PAIRING
IN
NON-DEGENERATE
LEVELS:
TWO-PARTICLE
SYSTEMS
.
231
7.4
N
PARTICLES
IN
NON-DEGENERATE
SHELLS:
BCS-THEORY
.
233
7.5
APPLICATIONS
OF
BCS
.
244
7.5.1
ODD-EVEN
MASS
DIFFERENCES,
EI
QP
.
244
7.5.2
ENERGY
SPECTRA
.
246
7.5.3
ELECTROMAGNETIC
TRANSITIONS
.
248
7.5.4
SPECTROSCOPIC
FACTORS
.
253
7.5.5
SUPERFLUIDITY
IN
NEUTRON
STARS
.
256
7.6
BROKEN-PAIR
MODEL
.
259
7.6.1
LOW-SENIORITY
APPROXIMATION
TO
THE
SHELL-MODEL
.
259
7.6.2
BROKEN-PAIR
OR
GENERALIZED-SENIORITY
SCHEME
FOR
SEMI-MAGIC
NUCLEI
.
262
7.6.3
GENERALIZATION
TO
BOTH
VALENCE
PROTONS
AND
NEUTRONS
.
266
7.7
INTERACTING
BOSON-MODEL
APPROXIMATION
TO
THE
NUCLEAR
SHELL
MODEL
.
268
7.8
SYMMETRY
PROPERTIES
OF
THE
INTERACTING
BOSON
MODEL
.
282
7.8.1
SYMMETRIES
.
283
7.8.2
SUBGROUP
CHAINS
OF
17(6)
.
285
XIV
CONTENTS
7.9
SUMMARY
.
286
PROBLEMS
.
287
8.
SELF-CONSISTENT
SHELL-MODEL
CALCULATIONS
.
291
8.1
INTRODUCTION
.
291
8.2
CONSTRUCTION
OF
A
NUCLEON-NUCLEON
FORCE:
SKYRME
FORCES
.
293
8.2.1
HARTREE-FOCK
BOGOLIUBOV
(HFB)
FORMALISM
FOR
NUCLEON-NUCLEON
INTERACTIONS
INCLUDING
THREE-BODY
FORCES
.
293
8.2.2
APPLICATION
OF
HFB
TO
SPHERICAL
NUCLEI
.
296
8.2.3
THE
EXTENDED
SKYRME
FORCE
.
297
8.2.4
PARAMETERIZATION
OF
EXTENDED
SKYRME
FORCES:
NUCLEAR
GROUND-STATE
PROPERTIES
.
302
8.3
EXCITED-STATE
PROPERTIES
OF
SKE
FORCES
.
308
8.3.1
PARTICLE-PARTICLE
EXCITATIONS:
DETERMINATION
OF
23
.
309
8.3.2
THE
SKYRME
INTERACTION
AS
A
PARTICLE-HOLE
INTERACTION
.
316
8.3.3
REARRANGEMENT
EFFECTS
FOR
DENSITY-DEPENDENT
INTERACTIONS
AND
APPLICATIONS
FOR
SKE
FORCES
.
328
8.4
SUMMARY
.
334
9.
SOME
COMPUTER
PROGRAMS
.
336
9.1
CLEBSCH-GORDAN
COEFFICIENTS
.
336
9.2
WIGNER
6J-SYMBOL
.
338
9.3
WIGNER
9J-SYMBOL
.
341
9.4
CALCULATION
OF
TABLE
OF
SLATER
INTEGRALS
.
342
9.5
CALCULATION
OF
^-MATRIX
ELEMENT
.
347
9.6
MATRIX
DIAGONALIZATION
.
354
9.7
RADIAL
INTEGRALS
USING
HARMONIC
OSCILLATOR
WAVE
FUNCTIONS
.
358
9.8
BCS
EQUATIONS
WITH
CONSTANT
PAIRING
STRENGTH
.
361
9.9
EVALUATION
OF
PARTICLE-HOLE
MATRIX
ELEMENTS
.
364
9.10
PARTICLE-CORE
COUPLING
.
364
9.10.1
FORMALISM
.
365
9.10.2
DESCRIPTION
OF
THE
CORE-COUPLING
CODE:
ENERGY
EIGENVALUES
AND
EIGENVECTORS
.
367
9.10.3
TRANSITION
RATE
AND
MOMENT
CALCULATION
.
370
9.10.4
LIBRARY
FOR
PARTICLE-CORE
COUPLING
.
373
9.11
RUNNING
THE
CODES
.
374
9.12
SUMMARY
.
376
10.
SHELL
STRUCTURE:
A
MAJOR
THEME
IN
THE
BINDING
OF
VARIOUS
PHYSICAL
SYSTEMS
.
377
10.1
INTRODUCTION
.
377
10.2
BOUND
TWO-BODY
SYSTEMS:
POSITRONIUM
AND
QUARKONIUM
.
378
10.2.1
POSITRONIUM
.
378
CONTENTS
XV
10.2.2
QUARKONIUM:
BOUND
QUARK-ANTIQUARK
SYSTEMS
.
380
10.3
SHELL
STRUCTURE
IN
METAL
CLUSTERS
.
385
10.3.1
EXPERIMENTAL
SITUATION
.
385
10.3.2
THEORETICAL
DESCRIPTION
.
388
10.4
SUMMARY
.
393
PROBLEM
.
393
APPENDIX
.
394
A.
THE
ANGULAR
MOMENTUM
OPERATOR
IN
SPHERICAL
COORDINATES
.
394
B.
EXPLICIT
CALCULATION
OF
THE
TRANSFORMATION
COEFFICIENTS
FOR
THREE-ANGULAR
MOMENTUM
SYSTEMS
.
395
C.
TENSOR
REDUCTION
FORMULAE
FOR
TENSOR
PRODUCTS
.
396
D.
THE
SURFACE-DELTA
INTERACTION
(SDI)
.
398
E.
MULTIPOLE
EXPANSION
OF
6(RI
-
R2)
INTERACTION
.
402
F.
CALCULATION
OF
REDUCED
MATRIX
ELEMENT
((1
/2Z)J
|
[Y'*.
|
|(L/2Z')J')
AND
SOME
IMPORTANT
ANGULAR
MOMENTUM
RELATIONS
.
405
G.
THE
MAGNETIC
MULTIPOLE
OPERATOR
.
409
H.
A
TWO-GROUP
(DEGENERATE)
RPA
MODEL
.
410
I.
THE
CONDON-SHORTLEY
AND
BIEDENHARN-ROSE
PHASE
CONVENTIONS:
APPLICATION
TO
ELECTROMAGNETIC
OPERATORS
AND
BCS
THEORY
.
414
1.1
ELECTROMAGNETIC
OPERATORS:
LONG-WAVELENGTH
FORM
AND
MATRIX
ELEMENTS
.
414
1.2
PROPERTIES
OF
THE
ELECTROMAGNETIC
MULTIPOLE
OPERATORS
UNDER
PARITY
OPERATION,
TIME
REFLECTION
AND
HERMITIAN
CONJUGATION
.
415
1.3
PHASE
CONVENTIONS
IN
THE
BCS
FORMALISM
.
420
J.
BASIC
CONCEPTS
OF
GROUP
THEORY
.
423
REFERENCES
.
429
SUBJECT
INDEX
.
435 |
| any_adam_object | 1 |
| author | Heyde, Kris L. G. 1942- |
| author_GND | (DE-588)118003089 |
| author_facet | Heyde, Kris L. G. 1942- |
| author_role | aut |
| author_sort | Heyde, Kris L. G. 1942- |
| author_variant | k l g h klg klgh |
| building | Verbundindex |
| bvnumber | BV009780092 |
| classification_rvk | UN 1510 |
| classification_tum | PHY 455f |
| ctrlnum | (OCoLC)633365754 (DE-599)BVBBV009780092 |
| discipline | Physik |
| edition | Study ed., 2., corr. and enl. ed. |
| format | Book |
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| id | DE-604.BV009780092 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T08:02:45Z |
| institution | BVB |
| isbn | 3540580727 0387580727 |
| language | Undetermined |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006471678 |
| oclc_num | 633365754 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-91G DE-BY-TUM |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-91G DE-BY-TUM |
| physical | XV, 438 S. graph. Darst. 1 Diskette 3.5" |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer |
| record_format | marc |
| spelling | Heyde, Kris L. G. 1942- Verfasser (DE-588)118003089 aut The nuclear shell modell Kris L. G. Heyde Study ed., 2., corr. and enl. ed. Berlin u.a. Springer 1994 XV, 438 S. graph. Darst. 1 Diskette 3.5" txt rdacontent n rdamedia nc rdacarrier Atomkern (DE-588)4068924-4 gnd rswk-swf Schalenmodell (DE-588)4179353-5 gnd rswk-swf Kernphysik (DE-588)4030340-8 gnd rswk-swf Schalenmodell (DE-588)4179353-5 s Kernphysik (DE-588)4030340-8 s DE-604 Atomkern (DE-588)4068924-4 s 1\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006471678&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Heyde, Kris L. G. 1942- The nuclear shell modell Atomkern (DE-588)4068924-4 gnd Schalenmodell (DE-588)4179353-5 gnd Kernphysik (DE-588)4030340-8 gnd |
| subject_GND | (DE-588)4068924-4 (DE-588)4179353-5 (DE-588)4030340-8 |
| title | The nuclear shell modell |
| title_auth | The nuclear shell modell |
| title_exact_search | The nuclear shell modell |
| title_full | The nuclear shell modell Kris L. G. Heyde |
| title_fullStr | The nuclear shell modell Kris L. G. Heyde |
| title_full_unstemmed | The nuclear shell modell Kris L. G. Heyde |
| title_short | The nuclear shell modell |
| title_sort | the nuclear shell modell |
| topic | Atomkern (DE-588)4068924-4 gnd Schalenmodell (DE-588)4179353-5 gnd Kernphysik (DE-588)4030340-8 gnd |
| topic_facet | Atomkern Schalenmodell Kernphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006471678&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT heydekrislg thenuclearshellmodell |