Dynamics of complex quantum systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer
2014
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 1. ed. u.d.T.: Coherent dynamics of complex quantum systems |
| Beschreibung: | XIV, 677 S. Ill., graph. Darst. |
| ISBN: | 9789400772045 |
Internformat
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| 020 | |a 9789400772045 |9 978-94-007-7204-5 | ||
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| 100 | 1 | |a Akulin, Vladimir M. |d 1953- |e Verfasser |0 (DE-588)112945570 |4 aut | |
| 245 | 1 | 0 | |a Dynamics of complex quantum systems |c Vladimir M. Akulin |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a Dordrecht |b Springer |c 2014 | |
| 300 | |a XIV, 677 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a 1. ed. u.d.T.: Coherent dynamics of complex quantum systems | ||
| 650 | 0 | 7 | |a Quantenmechanisches System |0 (DE-588)4300046-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Komplexes System |0 (DE-588)4114261-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Quantenmechanisches System |0 (DE-588)4300046-0 |D s |
| 689 | 0 | 1 | |a Komplexes System |0 (DE-588)4114261-5 |D s |
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| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Datensatz im Suchindex
| _version_ | 1804151786708140032 |
|---|---|
| adam_text | CONTENTS
1
COMPLEX
SYSTEMS
AND
THEIR
STATISTICAL
DESCRIPTION....................
1
2
EXAMPLES
OF
COMPLEX
SYSTEMS............
................................
17
2.1
MOLECULES
AND
ATOMS
IN
LASER
FIELDS...............................
19
2.1.1
LASER
BREAKING
OF
A
WEAKLY
BONDED
COMPLEX............
19
2.1.2
LASER-INDUCED
ELECTRONIC
TRANSITIONS
IN
MOLECULES.......
21
2.1.3
VIBRATIONAL
EXCITATION
OF
POLYATOMIC
MOLECULES..........
22
2.1.4
TRANSITIONS
AMONG
LEVELS
WITH
FINE
STRUCTURE...........
25
2.1.5
EXCITATION
OF
RYDBERG
STATES
IN
ATOMS....................
26
2.1.6
COMPETITION
OF
MULTIPHOTON
PROCESSES
OF
DIFFERENT
ORDERS.........................................
27
2.2
COLLISIONS
AND
REACTIONS
OF
MOLECULES..............................
29
2.2.1
COLLISIONAL
REDISTRIBUTION
OF
ENERGY......................
29
2.2.2
CHEMICAL
REACTIONS
........................................
32
2.2.3
INTERMOLECULAR
CONVERSION
AND
PHOTOCHEMISTRY..........
36
2.3
RYDBERG
MOLECULES.....................................,..............
38
2.3.1
SUBTHRESHOLD
PHOTOIONIZATION..............................
39
2.3.2
COLLISIONAL
IONIZATION.......................................
40
2.4
ATOMIC
AND
MOLECULAR
CLUSTERS......................................
41
2.4.1
GROUND
ELECTRONIC
STATE
OF
HOT
METALLIC
CLUSTERS........
43
2.4.2
OPTICAL
PROPERTIES
OF
CLUSTERS..............................
46
2.5
SOME
OTHER
EXAMPLES
...............................................
48
2.5.1
ION
TRAPS....................................................
48
2.5.2
DISORDERED
SOLIDS
AND
SURFACES............................
51
2.5.3
NONLINEAR
OPTICS............................................
55
2.5.4
COOPERATIVE
EFFECT..........................................
56
2.5.5
MANY-BODY
EFFECTS
IN
COLD
RYDBERG
GAS.................
58
2.6
QUANTUM
CIRCUITS
AND
NETWORKS
....................................
60
2.6.1
QUANTUM
COMMUNICATIONS.................................
60
2.6.2
QUANTUM
COMPUTERS
.......................................
62
2.6.3
QUANTUM
EFFECTS
IN
PHOTOSYNTHESIS........................
64
IX
X
CONTENTS
3
TWO-LEVEL
AND
LEVEL-BAND
SYSTEMS
.....................................
67
3.1
TWO-LEVEL
SYSTEM....................................................
68
3.2
LEVEL-BAND
SYSTEM..................................................
74
3.2.1
GENERAL
CONSIDERATION......................................
74
3.2.2
CONTINUOUS
BAND
MODEL
...................................
76
3.2.3
MEASUREMENTS
AND
RELAXATION
AS
PROCESSES
IN
LEVEL-CONTINUUM
SYSTEMS..............................
88
3.3
LONG-TIME
BEHAVIOR.................................................
94
3.3.1
GENERAL
CONSIDERATION
OF
THE
LONG-TIME
LIMIT...........
94
3.3.2
QUANTUM
RECURRENCES......................................
97
3.3.3
QUANTUM
REVIVALS..........................................
101
3.3.4
FRACTIONAL
REVIVALS.........................................
105
3.3.5
REVIVALS
AND
THE
CLASSICAL
LIMIT...........................
109
3.4
POPULATION
OF
INHOMOGENEOUS
BANDS...............................
110
3.4.1
STATISTICALLY
INDEPENDENT
LEVELS...........................
ILL
3.4.2
FACTORIZATION
OF
THE
LEVEL
POPULATION
AND
THE
ENSEMBLE
AVERAGE.................................
113
3.4.3
THE
LONG-TIME
ASYMPTOTIC................................
117
4
TWO-BAND
SYSTEM...........................................................
127
4.1
GENERAL
CONSIDERATION...............................................
128
4.1.1
SERIES
AND
DIAGRAMS
FOR
THE
LEVEL-BAND
PROBLEM........
128
4.1.2
SERIES
AND
DIAGRAMS
FOR
THE
TWO-BAND
PROBLEM.........
132
4.1.3
THE
RENORMALIZATION.......................................
138
4.2
NON-DEGENERATE
BANDS...............................................
143
4.2.1
GENERAL
REMARKS
AND
THE
MAIN
QUESTIONS................
143
4.2.2
RENORMALIZED
ENERGIES
AND
THE
POPULATION
DISTRIBUTION.................................................
144
4.2.3
DYNAMICS
OF
THE
TOTAL
POPULATIONS
OF
BANDS..............
147
4.2.4
DIFFERENT
BANDS.............................................
149
4.3
TWO
DEGENERATE
LEVELS..............................................
150
4.3.1
DEGENERATE
LEVELS
AS
A
COMPLEX
SYSTEM..................
150
4.3.2
THE
BANDS
AS
AN
ENSEMBLE
OF
TWO-LEVEL
SYSTEMS.......
153
4.4
A
BAND
COUPLED
TO
A
DEGENERATE
LEVEL.............................
155
4.4.1
TOTAL
POPULATION
OF
THE
BANDS..............................
156
4.4.2
POPULATION
DISTRIBUTION
OVER
THE
BAND
....................
159
4.4.3
ROLE
OF
THE
INTERACTION
RANK...............................
164
4.5
THE
ROLE
OF
CORRELATIONS.............................................
166
4.5.1
TWO
LEVELS
AND
A
BAND.....................................
167
4.5.2
TWO
BANDS
WITH
A
CORRELATED
COUPLING...................
175
4.5.3
REGIME
OF
STABILIZATION
FOR
THE
CORRELATED
COUPLING.....
184
4.5.4
CORRELATION
BETWEEN
THE
MEAN
SQUARED
COUPLING
AND
THE
ENERGY
POSITION.........................
186
CONTENTS
XI
5
SOLUBLE
TIME-DEPENDENT
SYSTEMS
........................................
195
5.1
ALGEBRAIC
STRUCTURE
OF
TIME-DEPENDENT
SYSTEMS..................
196
5.2
TIME-DEPENDENT
TWO-LEVEL
SYSTEMS...............................
202
5.2.1
LANDAU-ZENER
PROBLEM
....................................
203
5.2.2
LANDAU-ZENER
TRANSITION
TO
A
DECAYING
STATE............
208
5.2.3
LANDAU-ZENER
TRANSITION
IN
THE
PRESENCE
OF
TRANSVERSAL
RELAXATION..................................
211
5.2.4
EXCITATION
BY
A
PULSE.......................................
217
5.2.5
EXPONENTIALLY
RISING
COUPLING............................
220
5.3
SEMICLASSICAL
ANALYSIS
OF
TIME-DEPENDENT
SYSTEMS...............
223
5.3.1
TWO-LEVEL
SYSTEMS
AND
THE
DYKHNE
FORMULA.............
223
5.3.2
MULTILEVEL
SYSTEMS.........................................
228
5.4
TIME-DEPENDENT
LEVEL-BAND
SYSTEM...............................
231
5.4.1
THE
DEMKOV-OSHEROV
PROBLEM...........................
232
5.4.2
THE
LANDAU-ZENER
TRANSITION
AT
THE
CONTINUUM
EDGE............................................
237
6
TIME-DEPENDENT
COMPLEX
SYSTEMS.......................................
247
6.1
DEGENERATE
LEVEL
CROSSES
AN
INFINITE
BAND.........................
248
6.2
PERTURBATION
PROPORTIONAL
TO
A
RANDOM
MATRIX.....................
254
6.2.1
POPULATION
DISTRIBUTION.....................................
256
6.2.2
RESPONSE
TO
PERTURBATION
PROPORTIONAL
TO
A
RANDOM
MATRIX........................................
261
6.3
HARMONIC
PERTURBATION
OF
COMPLEX
SYSTEMS.......................
272
6.3.1
POPULATION
DISTRIBUTION
OVER
A
UNIFORM
SPECTRUM.......
272
6.3.2
RESPONSE
OF
THE
UNIFORM
SPECTRUM
TO
A
HARMONIC
PERTURBATION
................................
276
6.4
TWO-FREQUENCY
EXCITATION
OF
COMPLEX
SYSTEMS...................
281
6.4.1
POPULATION
DYNAMICS
FOR
BI-HARMONIC
EXCITATION.......
281
6.4.2
RESPONSE
TO
BI-HARMONIC
EXCITATION......................
285
6.5
TWO-BAND
SYSTEM
IN
A
PERIODIC
FIELD...............................
288
6.5.1
DYNAMICS
OF
TOTAL
BAND
POPULATIONS......................
289
6.5.2
POPULATION
DISTRIBUTION
OVER
THE
BANDS...................
294
7
THE
DYNAMICS
OF
ONE-DIMENSIONAL
RELAY-TYPE
SYSTEMS..............
297
7.1
EXACTLY
SOLUBLE
RELAYS
OF
ISOLATED
LEVELS..........................
297
7.1.1
UNIFORM
COUPLING
AND
LINEAR
DETUNING...................
298
7.1.2
THE
HARMONIC
OSCILLATOR
IN
AN
ARBITRARY
TIME-DEPENDENT
FIELD......................................
300
7.1.3
RAMAN
PUMPING
OF
A
HARMONIC
OSCILLATOR................
302
7.1.4
THE
HARMONIC
OSCILLATOR
IN
THE
SIMULTANEOUS
PRESENCE
OF
DIPOLE
AND
RAMAN
PUMPING..................
304
7.2
GENERAL
CASE
OF
AN
EXACTLY
SOLUBLE
RELAY..........................
306
7.2.1
SEPARABILITY,
CONDITIONS
FOR
THE
EXISTENCE
OF
A
POLYNOMIAL
SOLUTION...................................
307
CONTENTS
XII
7.2.2
RELAY
WITH
V
N
*
A^(N
+
1)
(N
*
N),
EQUIVALENT
TO
A
TWO-LEVEL
SYSTEM
.....................
....
310
7.2.3
THE
INCREASING
COUPLING
|
V
N
|
=
JA{N
*
B)(N
*
C
)
....
311
7.2.4
DECREASING
COUPLING
V
N
=
L/^/AN
+
B
.................
314
7.3
SMOOTH
VARIATION
OF
THE
PARAMETERS.................................
315
7.3.1
WKB
APPROXIMATION.......................................
316
7.3.2
POSITION
AND
WIDTH
OF
THE
EHRENFEST
WAVEPACKET.........
317
7.3.3
THE
TUNNELING
PROBABILITY
.................................
319
7.3.4
APPLICABILITY
OF
THE
WKB
APPROXIMATION................
320
7.4
RELAY
WITH
DISORDERED
PARAMETERS..................................
321
7.4.1
ENSEMBLE
AVERAGED
AMPLITUDES
AND
CORRESPONDING
POPULATIONS............................
323
7.4.2
ENSEMBLE
AVERAGED
SPECTRUM.............................
325
7.4.3
DISTRIBUTION
OF
THE
AMPLITUDE
RATIOS......................
325
7.4.4
DISTRIBUTION
OF
THE
POPULATIONS
FOR
LONG
TIMES
..........
330
7.4.5
DYNAMICS
OF
THE
ASYMPTOTIC
POPULATIONS.................
332
7.5
FIELD
THEORY
METHOD
FOR
DISORDERED
SYSTEMS......................
334
7.5.1
TUNNELING
TRANSPARENCY
AND
CLASSICAL
BOSONIC
FIELDS..............................................
334
7.5.2
AN
ANALOGY
WITH
THE
LIOUVILLE
EQUATION..................
342
7.5.3
CLASSICAL
FERMIONIC
FIELDS
FOR
THE
POPULATION
DYNAMICS
...................................................
345
7.6
POPULATION
DYNAMICS
IN
A
DISORDERED
CHAIN.......................
350
7.6.1
POPULATION
DYNAMICS
AND
PROPAGATING
FICTITIOUS
PARTICLES..........................................
351
7.6.2
MAPPING
OVER
A
PERIOD
AND
THE
ENSEMBLE
AVERAGE......
355
7.6.3
TIME
DEPENDENCE
OF
THE
POPULATION
DISTRIBUTION.........
360
8
COMPOSITE
COMPLEX
QUANTUM
SYSTEMS..................................
363
8.1
RELAY
OF
MULTILEVEL
BANDS...........................................
363
8.1.1
DEGENERATE
BANDS
WITH
RANDOM
COUPLING................
366
8.1.2
NON-DEGENERATE
BANDS
WITH
RANDOM
COUPLING...........
371
8.1.3
CORRELATED
COUPLING........................................
377
8.2
RANDOM
WALKS
AND
COHERENT
BEHAVIOR.............................
383
8.2.1
LEVEL
DECAY
TO
A
BAND
OF
RANDOM
WALKS.................
383
8.2.2
INTERFERENCE
OF
RANDOM
RETURNS
AT
LONG
TIMES:
GENERAL
CONSIDERATION.............................
388
8.2.3
THREE
TYPES
OF
RANDOM
WALK
AND
THE
ASYMPTOTIC
DECAY..........................................
398
8.3
DYNAMICAL
LOCALIZATION
IN
COMPLEX
SYSTEMS......................
405
8.3.1
ALGEBRAIC
CONDITIONS
FOR
A
GENERIC
MODEL................
406
8.3.2
DYNAMICS
GOVERNED
BY
THE
INTERFERING
REVIVALS..........
410
8.3.3
RESONANCE
EXCITATION
DIFFUSION
AND
LOCALIZATION
AS
REGIMES
OF
THE
REVIVAL
INTERFERENCE.....
412
8.3.4
A
NUMBER
OF
INCOMMENSURATE
IRRATIONAL
FREQUENCIES____
422
CONTENTS
XIII
9
SPECTRA
OF
COMPLEX
SYSTEMS..............................................
427
9.1
MANIFESTATION
OF
QUANTUM
COMPLEXITY
IN
THE
STATE
DENSITY.......
427
9.1.1
SPECTRUM
TRANSFORMATION
INDUCED
BY
RANDOM
PERTURBATION.......................................
428
9.1.2
UNIVERSAL
FEATURES
IN
TIME
DEPENDENCIES
................
435
9.2
THE
EFFECT
OF
QUANTUM
RECURRENCES
ON
THE
STATE
DENSITY
PROFILES.......................................................
436
9.2.1
TRAJECTORIES
AND
ORIENTED
GRAPHS..........................
438
9.2.2
THE
NUMBER
OF
EULER
PATHS
AND
SUM
OVER
CARRIERS......
439
9.2.3
FACTORIZATION
OF
AND
THE
ENSEMBLE
AVERAGE
............
440
9.3
THE
DENSITY
OF
QUANTUM
STATES
OF
FRACTALS.........................
445
9.3.1
THE
RENORMALIZATION
EQUATION.............................
446
9.3.2
ASYMPTOTIC
DEPENDENCE...................................
448
9.3.3
DENSITY
OF
STATES............................................
450
9.3.4
RANDOMLY
PERTURBED
FRACTALS..............................
451
9.4
SPECTRA
OF
EUCLIDEAN
RANDOM
MATRICES.............................
452
9.4.1
EUCLIDEAN
RANDOM
MATRICES,
HEURISTIC
CONSIDERATION
...
452
9.4.2
SPECTRAL
DENSITY
AVERAGED
OVER
RANDOM
POSITIONS
OF
EUCLIDEAN
STATES..............................
459
9.4.3
TWO
FIELD-THEORETICAL
MODELS.............................
465
10
ENTANGLED
STATES
OF
COMPOSITE
QUANTUM
SYSTEMS.....................
477
10.1
PRODUCT
STATES
AND
ENTANGLED
STATES.................................
478
10.1.1
EXAMPLES
OF
ENTANGLED
STATES..............................
479
10.1.2
SIGNATURES
AND
MEASURES
OF
ENTANGLEMENT
FOR
BIPARTITE
SYSTEMS.......................................
492
10.2
ENTANGLEMENT
AND
QUANTUM
INFORMATICS............................
497
10.2.1
COMPUTATIONAL
BASIS
.......................................
497
10.2.2
SHOR
ALGORITHM.............................................
498
10.2.3
GROVER*S
ALGORITHM............................,.............
503
10.2.4
TELEPORTATION................................................
505
10.3
HOW
TO
CHARACTERIZE
MULTIPARTITE
ENTANGLEMENT?..................
509
10.3.1
SOME
GROUP-THEORY
ASPECTS
OF
ENTANGLEMENT...........
510
10.3.2
CANONIC
STATES
OF
AN
ASSEMBLY............................
512
10.3.3
EXTENSIVE
CHARACTERISTICS
BASED
ON
NILPOTENT
POLYNOMIALS:
NILPOTENTIAL
AND
TANGLEMETER...............
515
10.3.4
QUANTUM
DYNAMICS
IN
TERMS
OF
THE
NILPOTENT
POLYNOMIALS.................................................
520
10.3.5
ENTANGLEMENT
BEYOND
QUBITS..............................
523
10.3.6
GENERALIZED
ENTANGLEMENT.................................
525
11
DYNAMICS
AND
ENTANGLEMENT
FOR
OPEN
QUANTUM
SYSTEMS............
529
11.1
COMPLEX
QUANTUM
SYSTEMS
ENTANGLED
WITH
THE
ENVIRONMENT.....
530
11.1.1
THE
MASTER
EQUATION
FOR
MIXED
STATES
OF
AN
OPEN
SYSTEM..........................................
532
11.1.2
LIOUVILLE
FORMALISM........................................
533
XIV
CONTENTS
11.1.3
ZWANZIG
PROJECTION
METHOD................................
534
11.1.4
THE
CASE
OF
WEAK
INTERACTION
.............................
537
11.1.5
HARROVIAN
ENVIRONMENT
AND
THE
LINDBLAD
FORM
OF
MASTER
EQUATION...................................
539
11.1.6
SYSTEM
AND
ENVIRONMENT
AS
A
MULTI-BAND
COMPOSED
SYSTEM..........................................
540
11.2
EXACTLY
SOLUBLE
MODEL
OF
ENVIRONMENT
WITH
A
FINITE
CORRELATION
TIME
.....................................................
544
11.2.1
HUBBARD-STRATANOVICH
SEPARATION
OF
A
SYSTEM
PARTS.....
544
11.2.2
ENVIRONMENT
AT
A
GIVEN
TEMPERATURE......................
546
11.2.3
ENVIRONMENT
AS
A
SOURCE
OF
LANGEVIN
FORCE..............
549
11.2.4
THE
INCREMENT
OF
THE
LINEAR
ENTROPY
OF
ENTANGLEMENT...
556
11.3
ENTANGLEMENT
OF
MIXED
QUANTUM
STATES............................
559
11.3.1
DEFINITION
OF
ENTANGLEMENT
FOR
MIXED
STATES.............
559
11.3.2
AN
ENTANGLEMENT
MEASURE
FOR
MIXED
STATES..............
561
11.3.3
SUDDEN
DEATH
AND
RESURRECTION
OF
ENTANGLEMENT
FOR
MIXED
STATES.........................
565
11.3.4
NILPOTENT
VARIABLES
FOR
ENTANGLEMENT
OF
MIXED
STATES...
568
12
COHERENCE
PROTECTION
AND
CONTROL
OVER
COMPLEX
QUANTUM
SYSTEMS..........................................................
573
12.1
CONTROL
OF
COMPLEX
QUANTUM
SYSTEMS.............................
573
12.1.1
CONTROL
OF
TWO-LEVEL
SYSTEMS.............................
575
12.1.2
HOLONOM
AND
NON-HOLONOM
SYSTEMS.....................
583
12.1.3
CONTROL
ON
LIE
SEMIGROUPS
................................
591
12.1.4
STATE
CONSERVATION
BY
MEASUREMENTS:
ZENO
EFFECT.......
594
12.1.5
QUANTUM
STATE
ENGINEERING
BY
INDIRECT
MEASUREMENTS
..
595
12.2
COHERENCE
CONTROL
OF
OPEN
QUANTUM
SYSTEMS.....................
599
12.2.1
DYNAMICAL
DECOUPLING
FROM
THE
ENVIRONMENT............
600
12.2.2
DECOUPLING
BY
ZENO
EFFECT
................................
614
12.2.3
COHERENCE
PROTECTION
BY
RANDOM
CODING
AND
MEASUREMENTS..........................................
617
12.2.4
TOPOLOGICAL
DECOUPLING
FROM
THE
ENVIRONMENT...........
621
12.2.5
UNIVERSAL
SUPPRESSION
OF
SLOW
NOISE.....................
630
13
BIBLIOGRAPHY
AND
PROBLEMS...............................................
639
13.1
BOOKSHELF.............................................................
640
13.2
PROBLEMS..............................................................
651
REFERENCES.........................................................................
663
INDEX
673
|
| any_adam_object | 1 |
| author | Akulin, Vladimir M. 1953- |
| author_GND | (DE-588)112945570 |
| author_facet | Akulin, Vladimir M. 1953- |
| author_role | aut |
| author_sort | Akulin, Vladimir M. 1953- |
| author_variant | v m a vm vma |
| building | Verbundindex |
| bvnumber | BV041592752 |
| classification_rvk | UK 2000 |
| classification_tum | PHY 022f |
| ctrlnum | (OCoLC)869889680 (DE-599)BVBBV041592752 |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV041592752 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:00:21Z |
| institution | BVB |
| isbn | 9789400772045 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027037783 |
| oclc_num | 869889680 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-29T |
| owner_facet | DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-29T |
| physical | XIV, 677 S. Ill., graph. Darst. |
| publishDate | 2014 |
| publishDateSearch | 2014 |
| publishDateSort | 2014 |
| publisher | Springer |
| record_format | marc |
| spelling | Akulin, Vladimir M. 1953- Verfasser (DE-588)112945570 aut Dynamics of complex quantum systems Vladimir M. Akulin 2. ed. Dordrecht Springer 2014 XIV, 677 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier 1. ed. u.d.T.: Coherent dynamics of complex quantum systems Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Komplexes System (DE-588)4114261-5 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 s Komplexes System (DE-588)4114261-5 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027037783&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 | Akulin, Vladimir M. 1953- Dynamics of complex quantum systems Quantenmechanisches System (DE-588)4300046-0 gnd Komplexes System (DE-588)4114261-5 gnd |
| subject_GND | (DE-588)4300046-0 (DE-588)4114261-5 |
| title | Dynamics of complex quantum systems |
| title_auth | Dynamics of complex quantum systems |
| title_exact_search | Dynamics of complex quantum systems |
| title_full | Dynamics of complex quantum systems Vladimir M. Akulin |
| title_fullStr | Dynamics of complex quantum systems Vladimir M. Akulin |
| title_full_unstemmed | Dynamics of complex quantum systems Vladimir M. Akulin |
| title_short | Dynamics of complex quantum systems |
| title_sort | dynamics of complex quantum systems |
| topic | Quantenmechanisches System (DE-588)4300046-0 gnd Komplexes System (DE-588)4114261-5 gnd |
| topic_facet | Quantenmechanisches System Komplexes System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027037783&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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