Quantum mechanics:
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| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2024]
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| Edition: | 1. Auflage |
| Series: | De Gruyter textbook
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXII, 368 Seiten Illustrationen, Diagramme (teilweise farbig) |
| ISBN: | 9783110672121 311067212X |
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| 020 | |a 9783110672121 |c : EUR 79.95 (DE) (freier Preis), EUR 79.95 (AT) (freier Preis) |9 978-3-11-067212-1 | ||
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| 100 | 1 | |a Zhang, Guo-ping |e Verfasser |0 (DE-588)122793940X |4 aut | |
| 245 | 1 | 0 | |a Quantum mechanics |c Guo-Ping Zhang, Mingsu Si, Thomas F. George |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2024] | |
| 264 | 4 | |c © 2024 | |
| 300 | |a XXII, 368 Seiten |b Illustrationen, Diagramme (teilweise farbig) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a De Gruyter textbook | |
| 650 | 0 | 7 | |a Quantenmechanik |0 (DE-588)4047989-4 |2 gnd |9 rswk-swf |
| 653 | |a Quantenmechanik | ||
| 653 | |a TB: Textbook | ||
| 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 | |5 DE-604 | |
| 700 | 1 | |a Si, Mingsu |e Verfasser |4 aut | |
| 700 | 1 | |a George, Thomas F. |d 1947- |e Verfasser |0 (DE-588)117221199X |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, PDF |z 978-3-11-067215-2 |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe, EPUB |z 978-3-11-067228-2 |
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CONTENTS
PREFACE
-
VII
1
1.1
1.2
1.3
1.3.1
1.3.2
1.3.3
1.4
1.4.1
1.4.2
1.4.3
1.5
1.5.1
1.5.2
1.5.3
1.6
1.7
ENTERING
THE
QUANTUM
WORLD
-
1
ENERGY
QUANTIZATION
-
1
WAVE-PARTICLE
DUALITY
AND
THE
DE
BROGLIE
WAVELENGTH
-
2
QUANTUM
STATES
AND
THEIR
WAVEFUNCTIONS
-
4
DESCRIBING
A
QUANTUM
STATE:
WAVEFUNCTION
-
4
TYPES
OF
WAVEFUNCTIONS
AND
DIRAC
NOTATION
-
5
HOW
DOES
A
WAVEFUNCTION
DESCRIBE
WAVE-PARTICLE
DUALITY?
-
6
PROPERTIES
OF
A
WAVEFUNCTION
-
6
PROBABILITY
DENSITY
AND
THE
NORMALIZATION
OF
A
WAVEFUNCTION
-
6
COMPARISON
BETWEEN
BORN
STATISTICS
AND
MAXWELL-BOLTZMANN
STATISTICS
-
7
HILBERT
SPACE
AND
THE
SUPERPOSITION
PRINCIPLE
OF
WAVEFUNCTIONS
-
9
OPERATORS
OF
OBSERVABLES
AND
MEASUREMENTS
-
13
EXPECTATION
VALUES
OF
AN
OPERATOR
-
13
HERMITIAN
OPERATORS
-
13
MEASUREMENTS
-
17
MEASURING
PLANCK
'
S
CONSTANT
USING
LEDS
-
18
PROBLEMS
-
19
2
SCHRODINGER
EQUATION:
FROM
BOUND
AND
UNBOUND
STATES
TO
QUANTUM
TUNNELING
-
22
2.1
2.1.1
TIME-DEPENDENT
SCHRODINGER
EQUATION
-
22
TIME
SYMMETRY
AND
THE
DERIVATION
OF
TIME-DEPENDENT
SCHRODINGER
EQUATION
-
22
2.1.2
2.2
2.2.1
2.2.2
2.3
2.3.1
2.3.2
2.3.3
2.3.4
2.3.5
2.4
2.4.1
2.4.2
2.5
2.5.1
CURRENT
DENSITY
AND
CONTINUITY
EQUATION
-
24
TIME-INDEPENDENT
SCHRODINGER
EQUATION
AND
EIGENSTATES
-
27
SEPARATION
OF
TIME
AND
SPACE
VARIABLES
AND
PROPERTIES
OF
EIGENSTATES
-
28
STATIONARY
STATE
EVOLUTION
-
29
PARTICLE
IN
A
BOX:
BOUND
STATES
-
31
CLASSICAL
TREATMENT
-
31
POTENTIAL
SETS
BOUNDARY
CONDITIONS
FOR
WAVEFUNCTIONS
-
32
FINDING
A
SOLUTION
THAT
MATCHES
THE
BOUNDARY
CONDITIONS
-
33
EIGENENERGIES
AND
EIGENSTATES
-
33
TIME-DEPENDENT
STATE
EVOLUTION:
STATIONARY-STATE
EVOLUTION
-
37
THE
FINITE
SQUARE
WELL:
BOUND
AND
UNBOUND
STATES
-
40
FINDING
BOUNDARY
CONDITIONS
FOR
WAVEFUNCTIONS
-
41
WAVEFUNCTIONS
IN
THREE
REGIONS
-
42
EIGENENERGIES
AND
EIGENSTATES
IN
THE
FINITE
QUANTUM
WELL
-
43
EIGENENERGIES
AND
BOUNDARY
CONDITIONS
-
43
2.5.2
2.5.3
2.6
2.6.1
2.6.2
2.6.3
2.7
2.7.1
2.7.2
2.7.3
2.8
EIGENSTATES
AND
PHYSICAL
MEANINGS
-
45
E
VO
AND
UNBOUND
STATES
-
48
TUNNELING
THROUGH
A
BARRIER:
UNBOUND
STATES
-
48
BOUNDARY
CONDITIONS
-
49
WAVEFUNCTIONS
-
50
IMPOSING
BOUNDARY
CONDITIONS
AND
TRANSMISSION
AND
REFLECTION
-
51
PHYSICAL
INSIGHTS
INTO
QUANTUM
TUNNELING
-
52
WAVEFUNCTIONS
OF
CONTINUOUS
STATES
AND
TRANSMISSION
-
52
QUANTUM
TUNNELING
-
54
CURRENT
-
55
PROBLEMS
-
56
3
3.1
3.1.1
3.1.2
3.1.3
3.2
3.2.1
3.2.2
3.2.3
3.3
3.3.1
3.3.2
3.3.3
3.4
3.4.1
3.4.2
3.5
3.5.1
3.5.2
3.6
3.6.1
3.6.2
3.6.3
3.7
3.7.1
3.7.2
3.8
HARMONIC
OSCILLATOR
AND
BLACKBODY
RADIATION
-
58
OPERATORS
AND
HEISENBERG
'
S
UNCERTAINTY
PRINCIPLE
-
58
BASIC
PROPERTIES
OF
OPERATORS
-
58
HEISENBERG
UNCERTAINTY
PRINCIPLE
-
60
LADDER
OPERATORS
-
62
HARMONIC
OSCILLATOR
-
64
CLASSICAL
PHYSICS
-
64
QUANTUM
THEORY
FOR
A
HARMONIC
OSCILLATOR
-
65
EIGENVALUES
AND
EIGENFUNCTIONS
-
66
APPLICATIONS
OF
LADDER
OPERATORS
IN
POSITION
AND
MOMENTUM
-
70
BASIC
PROPERTIES
OF
A
AND
A*
-
70
EXPECTATION
VALUES
OF
X
AND
X
2
-
71
EXPECTATION
VALUES
OF
PX
AND
P,
AND
THE
UNCERTAINTY
PRINCIPLE
-
72
TIME
EVOLUTION
IN
HARMONIC
OSCILLATOR:
SCHRODINGER
PICTURE
-
73
STATIONARY
SOLUTIONS
-
73
EXAMPLES
-
74
HEISENBERG
'
S
PICTURE
AND
HEISENBERG
EQUATION
OF
MOTION
-
77
HEISENBERG
EQUATION
OF
MOTION
-
77
EXAMPLES
-
80
BLACKBODY
RADIATION
-
81
FAILURE
OF
CLASSICAL
PHYSICS
-
82
QUANTUM
THEORY:
IMPORTANCE
OF
QUANTIZATION
-
84
INSIGHTS
-
86
PHOTOELECTRIC
EFFECTS
-
86
EXPERIMENT
-
87
EINSTEIN
'
S
THEORY
OF
THE
PHOTOELECTRIC
EFFECT
-
88
PROBLEMS
-
90
4
4.1
ORBITAL
ANGULAR
MOMENTUM
AND
HYDROGEN
ATOM
-
93
BOHR
MODEL
FOR
THE
HYDROGEN
ATOM:
A
BRIDGE
FROM
CM
TO
QM
-
93
4.1.1
ENERGY
-
94
4.1.2
SPATIAL
QUANTIZATION
OF
ANGULAR
MOMENTUM
-
95
4.1.3
BOHR
RADIUS
-
95
4.1.4
VELOCITY
AND
PERIOD
-
96
4.1.5
EIGENENERGIES
AND
THEIR
CONNECTIONS
TO
THE
SPECTRAL
LINES
-
4.2
COMMUTABLE
OPERATORS
AND
THEIR
COMMON
EIGENFUNCTIONS
-
4.2.1
NONDEGENERATE
EIGENFUNCTIONS
-
98
4.2.2
DEGENERATE
EIGENFUNCTIONS
-
99
4.3
ORBITAL
ANGULAR
MOMENTUM
-
100
4.3.1
ORBITAL
ANGULAR
MOMENTUM
OPERATORS:
L,
L
2
,
L
Z
,
L
+
,
AND
L_
-
4.3.2
EIGENFUNCTIONS
OF
L
2
ARE
SPHERICAL
HARMONICS
YIM
-
102
4.3.3
EIGENFUNCTION
OF
Z
-
103
4.3.4
USING
THE
ANGULAR
MOMENTUM
LADDER
OPERATORS
TO
FIND
YIM
-
4.4
UNDERSTANDING
ORBITAL
ANGULAR
MOMENTUM
-
108
4.4.1
PHYSICAL
MEANINGS:
MAGNITUDE
OF
A
QUANTUM
VECTOR
-
108
4.4.2
MATRIX
REPRESENTATIONS
AND
REPRESENTATION
THEORY
-
110
4.4.3
CHEMICAL
MEANINGS:
ATOMIC
ORBITALS
-
112
4.5
CENTRAL
FIELD
POTENTIALS:
SYMMETRY
AND
CONSERVATION
LAW
-
4.5.1
SYMMETRY
AND
CONSERVATION
-
115
4.5.2
ROTATION
OF
COORDINATES
-
115
4.5.3
ROTATION
OF
A
WAVEFUNCTION
IN
THE
FUNCTION
SPACE
-
116
4.5.4
ROTATION
OF
AN
OPERATOR
-
116
4.5.5
CONSERVATION
OF
ANGULAR
MOMENTUM
-
117
4.6
HYDROGEN
ATOM
-
118
4.6.1
SPHERICAL
SYMMETRY
-
118
4.6.2
SEPARATION
OF
VARIABLES
AND
THE
RADIAL
SCHRODINGER
EQUATION
4.7
NUMERICAL
SOLUTION
OF
THE
HYDROGEN
ATOM:
HYDROGEN
CODE
-
4.7.1
ATOMIC
UNITS
-
121
4.7.2
DISCRETIZATION
OF
THE
EIGENEQUATION
-
122
4.7.3
HAMILTONIAN
MATRIX
AND
ITS
EIGENSTATES
ON
THE
GRID
MESH
-
4.7.4
HYDROGEN-LIKE
IONS:
IONIC
RADII
AND
ALZHEIMER
'
S
DISEASE
-
4.8
FRANCK-HERTZ
EXPERIMENT
-
126
4.8.1
EXPERIMENT
-
127
4.8.2
VERIFICATION
OF
QUANTUM
THEORY
-
128
4.9
PROBLEMS
-
130
5
TIME-INDEPENDENT
APPROXIMATE
METHODS
-
133
5.1
NONDEGENERATE
PERTURBATION
THEORY
-
133
5.1.1
EXPANDING
THE
ENERGY
AND
WAVEFUNCTION
-
133
5.1.2
ZEROTH-ORDER
PERTURBATION
-
134
5.1.3
FIRST-ORDER
PERTURBATION
-
134
5.1.4
SECOND-ORDER
CORRECTION
-
136
5.2
EXAMPLES
OF
NONDEGENERATE
PERTURBATION
THEORY
-
137
5.2.1
CHARGED
HARMONIC
OSCILLATOR
IN
A
WEAK
ELECTRIC
FIELD
F
-
137
5.2.2
VAN
DER
WAALS
FORCE
-
139
5.3
DEGENERATE
AND
NEARLY-DEGENERATE
PERTURBATION
THEORY
-
142
5.3.1
EXPANDING
THE
WAVEFUNCTION
AND
ENERGY
-
143
5.3.2
ZEROTH-ORDER
CORRECTION
-
144
5.3.3
FIRST-ORDER
CORRECTION
-
144
5.4
EXAMPLES
OF
DEGENERATE
PERTURBATION
THEORY
-
146
5.4.1
A
SIMPLIFIED
APPROACH
TO
THE
HJ
MOLECULE
-
146
5.4.2
STARK
EFFECT
IN
HYDROGEN
ATOM
-
147
5.5
VARIATIONAL
PRINCIPLE
-
150
5.5.1
FUNCTIONAL
DERIVATIVES
-
150
5.5.2
SPATIAL
SCALING
AS
A
VARIATIONAL
PARAMETER:
THE
VIRIAL
THEOREM
-
152
5.6
EXAMPLES
OF
THE
VARIATIONAL
PRINCIPLE
IN
THE
H2
MOLECULE
-
153
5.6.1
FIRST
VARIATION
-
153
5.6.2
SECOND
VARIATION
-
155
5.6.3
VARIATIONAL
MINIMIZATION
OF
THE
MOLECULAR
ENERGY
-
159
5.6.4
MOLECULAR
ORBITALS
-
160
5.7
PROBLEMS
-
162
6
ELECTRON
SPIN
-
165
6.1
DISCOVERY
OF
ELECTRON
SPIN
AND
REPRESENTATION
OF
SPIN
STATES
-
165
6.1.1
STERN-GERLACH
EXPERIMENT:
SPIN
IS
ANOTHER
DEGREE
OF
FREEDOM
-
165
6.1.2
PAULI
MATRICES
-
166
6.1.3
SPIN
MATRICES
-
169
6.1.4
TOTAL
WAVEFUNCTION
OF
AN
ELECTRON
-
172
6.2
TOTAL
ANGULAR
MOMENTUM
J
-
172
6.2.1
QUANTUM
NUMBER
ADDITION
AND
SPECTROSCOPIC
NOTATION
-
172
6.2.2
SPIN-ORBIT
COUPLING
IN
A
CENTRAL
FIELD
-
174
6.2.3
EIGENFUNCTIONS
AND
EIGENVALUES
OF
J
AND/
Z
-
175
6.3
INTERACTION
OF
SPIN
AND
ORBITAL
MOMENTS
WITH
A
MAGNETIC
FIELD
-
177
6.3.1
MAGNETIC
ORBITAL
AND
SPIN
MOMENTS
-
177
6.3.2
INTERACTION
WITH
THE
B
FIELD
-
179
6.3.3
DERIVATION
OF
LANDE-G
FACTOR
-
180
6.4
EXPLANATION
OF
STERN-GERLACH
EXPERIMENT
AND
MEASUREMENT
-
181
6.4.1
SCHRODINGER
PICTURE
-
183
6.4.2
HEISENBERG
PICTURE
-
183
6.4.3
QUANTUM
MEASUREMENT
-
184
6.5
ZEEMAN
EFFECT
-
187
6.5.1
EXPERIMENT
-
187
6.5.2
THEORY
AND
HUND
'
S
RULES
-
189
6.6
ELECTRON
SPIN
RESONANCE
(ESR)
-
194
6.6.1
6.6.2
6.6.3
6.7
6.7.1
6.7.2
6.8
ROTATING
WAVE
APPROXIMATION
AND
RABI
HAMILTONIAN
-
195
RABI
MODEL
-
196
RABI
FREQUENCY
-
197
MEDICAL
APPLICATIONS:
MAGNETIC
RESONANCE
IMAGING
-
198
INTERACTION
BETWEEN
A
NUCLEAR
SPIN
AND
MAGNETIC
FIELD
-
198
SPATIAL
RESOLUTION
-
200
PROBLEMS
-
201
7
7.1
7.1.1
7.1.2
7.1.3
7.2
7.2.1
7.2.2
7.3
7.3.1
7.3.2
7.3.3
7.4
7.4.1
7.4.2
7.4.3
7.4.4
7.5
7.5.1
7.5.2
7.6
TIME-DEPENDENT
PERTURBATION
THEORY:
APPLICATION
TO
OPTICS
-
204
INTERACTION
BETWEEN
RADIATION
AND
MATTER
AND
ITS
SELECTION
RULES
-
204
QUANTIZATION
OF
INTERACTION
-
205
COULOMB
GAUGE
AND
DIPOLE
APPROXIMATION
-
206
DIPOLE
SELECTION
RULES
-
207
TIME-DEPENDENT
PERTURBATION
THEORY
-
209
ZEROTH
ORDER
-
210
FIRST
ORDER
-
211
EXAMPLES
OF
TIME-DEPENDENT
PERTURBATION
THEORY
-
212
AR(T)
IS
TIME
INDEPENDENT
-
212
AR(T)
IS
A
PERIODIC
PERTURBATION
-
213
EXCITATION
OF
A
CHARGED
HARMONIC
OSCILLATOR
BY
A
PULSE
-
215
LINEAR
OPTICS:
POLARIZATION
AND
SUSCEPTIBILITY
-
216
CLASSICAL
OPTICS
-
216
QUANTUM
OPTICS
-
217
LINEAR
SUSCEPTIBILITY:
SPECIALIZED
TO
STATE
|K)
-
218
EXPERIMENTAL
CONNECTION:
PENETRATION
DEPTH
AND
BEER-LAMBERT
LAW
-
220
LASER
-
222
ABSORPTION
AND
EMISSION
-
222
POPULATION
INVERSION
AND
STIMULATED
EMISSION
-
223
PROBLEMS
-
225
8
8.1
8.1.1
8.1.2
8.1.3
8.2
8.3
8.3.1
8.3.2
8.3.3
8.4
8.5
ELECTRONS
IN
MOLECULES
AND
ONE-DIMENSIONAL
SOLIDS
-
228
MOLECULAR
ORBITALS
-
228
A-ORBITALS
-
229
T-ORBITALS
-----230
ORBITAL
HYBRIDIZATION
AND
LINEAR
COMBINATION
OF
ATOMIC
ORBITALS
-
230
MOLECULAR
HAMILTONIAN,
OVERLAP
AND
HOPPING
INTEGRALS
-
232
APPLICATION
TO
SMALL
MOLECULES:
THE
ALLYL
RADICAL
-
234
OCCUPYING
THE
MOLECULAR
ORBITALS
AND
MANY-BODY
WAVEFUNCTIONS
-
235
CHARGE
DENSITY
-
236
DIRAC
NOTATION
-
238
APPLICATIONS
TO
CONJUGATED
POLYMERS:
POLYACETYLENE
-
239
ONE-DIMENSIONAL
SOLID:
KRONIG-PENNEY
MODEL
-
241
8.5.1
8.5.2
8.5.3
8.5.4
8.5.5
8.5.6
8.6
REGION
1:
-B
X
0
-
242
REGION
2:
0
X
A
-
242
BLOCH
THEOREM
-
242
REGION
3:A
X
A
+
B
-
243
DERIVATION
OF
THE
SECULAR
EQUATION
-
243
BAND
STRUCTURE
-
245
PROBLEMS
-
248
9
9.1
9.1.1
9.1.2
9.1.3
9.1.4
9.2
9.2.1
ELECTRONS
IN
CRYSTALLINE
SOLIDS
-
250
CRYSTAL
STRUCTURE
-
250
UNIT
CELL
AND
PRIMITIVE
CELL
-
250
BASIS
AND
LATTICE
POINTS
-
251
PRIMITIVE
LATTICE
VECTORS
AND
LATTICE
VECTORS
-
252
BRAVAIS
LATTICE
AND
LATTICE
CONSTANT
-
252
TRANSLATIONAL
SYMMETRY
AND
BLOCH
THEOREM
-
252
BLOCH
THEOREM,
BORN-VON
KARMAN
BOUNDARY
CONDITION
AND
BLOCH
WAVES
-
252
9.2.2
9.3
9.3.1
9.3.2
9.4
9.4.1
9.4.2
9.5
9.5.1
9.5.2
9.5.3
9.6
9.6.1
9.6.2
9.6.3
9.7
9.7.1
9.7.2
9.8
9.8.1
9.8.2
9.9
RECIPROCAL
LATTICE
VECTORS
AND
BRILLOUIN
ZONES
-
255
NEARLY
FREE-ELECTRON
MODEL
-
256
NONDEGENERATE
PERTURBATION
TREATMENT
-
257
DEGENERATE
PERTURBATION
AND
ENERGY
BAND
GAP
-
262
TIGHT-BINDING
MODEL
-
265
THREE-DIMENSIONAL
SYSTEMS
-
265
ONE-DIMENSIONAL
RING
-
270
OCCUPYING
THE
ENERGY
BAND:
FERMI
SURFACE
AND
FERMI
VELOCITY
-
272
FERMI
ENERGY
IN
METALS,
SEMICONDUCTORS
AND
INSULATORS
-
272
FERMI
SURFACE
-
274
CHEMICAL
POTENTIAL
-
276
TRANSPORT
ON
A
NANOMETER
SCALE
-
277
MINIMUM
CONDUCTANCE
AND
VON
KLITZING
RESISTANCE
CONSTANT
-
278
LANDAUER
THEORY:
CONDUCTANCE
IS
TRANSMISSION
-
280
DEVICE
'
S
DENSITY
OF
STATES
(DOS)
-
283
SCANNING
TUNNELING
MICROSCOPE
-
286
PRINCIPLE
OF
THE
STM
-
286
HOW
STM
GAINS
ATOMIC
RESOLUTION
AND
THE
BINNIG-ROHRER
FACTOR
-
287
LATTICE
VIBRATIONS
-
288
NORMAL
MODES
-
288
PHONONS
-
292
PROBLEMS
-
293
10
SPECIAL
TOPICS:
MANY-BODY
SYSTEMS,
MAGNETISM,
AND
QUANTUM
INFORMATION
-
295
10.1
10.1.1
10.1.2
10.1.3
10.2
10.2.1
10.2.2
10.2.3
10.3
10.3.1
10.3.2
10.4
10.4.1
10.4.2
10.5
10.6
10.6.1
10.6.2
10.6.3
10.6.4
10.7
10.7.1
10.7.2
10.7.3
10.7.4
10.7.5
10.8
MANY-BODY
SYSTEMS
UNDER
VARIOUS
APPROXIMATIONS
-
295
BORN-OPPENHEIMER
APPROXIMATION
-
295
INDEPENDENT
ELECTRON
APPROXIMATION
-
296
HARTREE-FOCK
APPROXIMATION
AND
DENSITY
FUNCTIONAL
THEORY
-
297
PARTICLE
INDISTINGUISHABILITY
IN
MANY-BODY
SYSTEMS
-
298
IDENTICAL
PARTICLES
AND
ENTANGLEMENT
-
298
BOSONS
-
300
FERMIONS
AND
THE
PAULI
EXCLUSION
PRINCIPLE
-
300
SPIN
SINGLET
AND
TRIPLET
AND
SPATIAL
ENTANGLEMENT
-
302
SINGLET
AND
TRIPLET
-
302
ENTANGLEMENT
BETWEEN
SPIN
AND
SPATIAL
SPACES
-
303
KINETIC,
COULOMB
AND
EXCHANGE
CORRELATION
ENERGIES
-
305
SINGLE-PARTICLE
OPERATORS:
KINETIC
ENERGY
-
305
COULOMB
AND
EXCHANGE
CORRELATION
ENERGIES
-
307
ORIGIN
OF
MAGNETISM
AND
THE
HEISENBERG
MODEL
-
309
QUANTUM
INFORMATION
TECHNOLOGY
-
311
QUANTUM
BITS
OR
QUBITS
-
312
SINGLE
QUBIT
AND
GATES
-
313
MORE
THAN
ONE
QUBIT
AND
ENTANGLEMENT
-
315
HARDWARE
AND
QUANTUM
BITS
-
317
BERRY
PHASE
-
320
DYNAMICAL
PHASE
FACTOR
WITH
TIME-INDEPENDENT
HAMILTONIAN
-
320
TIME-DEPENDENT
HAMILTONIAN
AND
TRANSITION
BETWEEN
STATES
-
321
ADIABATIC
APPROXIMATION
-
321
GEOMETRIC
PHASE
FACTOR:
A
CONCEPTUAL
CHANGE
-
323
BERRY
PHASE
-
326
PROBLEMS
-
329
11
11.1
11.2
11.3
11.3.1
11.3.2
11.3.3
11.3.4
11.4
11.5
APPENDIX
-
332
ATOMIC
UNITS
-
332
TIME-ORDER
OPERATOR
-
332
SPIN
ROTATION
-
333
POLAR
VECTORS
-
333
AXIAL
VECTORS:
SPIN
ROTATION
AND
SU(2)
ROTATION
MATRICES
-
334
0(3)
ROTATION
MATRICES
-
335
WHAT
ABOUT
SPIN
EIGENFUNCTIONS?
-
336
SPIN
MATRICES
FOR
PHOTON
AND
USEFUL
MATH
FORMULAS
-
336
COMPUTER
CODES
-
339
BIBLIOGRAPHY
-
361
INDEX
-
365 |
| any_adam_object | 1 |
| author | Zhang, Guo-ping Si, Mingsu George, Thomas F. 1947- |
| author_GND | (DE-588)122793940X (DE-588)117221199X |
| author_facet | Zhang, Guo-ping Si, Mingsu George, Thomas F. 1947- |
| author_role | aut aut aut |
| author_sort | Zhang, Guo-ping |
| author_variant | g p z gpz m s ms t f g tf tfg |
| building | Verbundindex |
| bvnumber | BV049661959 |
| classification_rvk | UK 1000 |
| ctrlnum | (OCoLC)1443587977 (DE-599)DNB1308355297 |
| discipline | Physik |
| edition | 1. Auflage |
| format | Book |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV049661959 |
| illustrated | Illustrated |
| indexdate | 2025-02-20T11:01:13Z |
| institution | BVB |
| isbn | 9783110672121 311067212X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-035005172 |
| oclc_num | 1443587977 |
| open_access_boolean | |
| owner | DE-11 DE-29T DE-20 DE-703 |
| owner_facet | DE-11 DE-29T DE-20 DE-703 |
| physical | XXII, 368 Seiten Illustrationen, Diagramme (teilweise farbig) |
| publishDate | 2024 |
| publishDateSearch | 2024 |
| publishDateSort | 2024 |
| publisher | De Gruyter |
| record_format | marc |
| series2 | De Gruyter textbook |
| spelling | Zhang, Guo-ping Verfasser (DE-588)122793940X aut Quantum mechanics Guo-Ping Zhang, Mingsu Si, Thomas F. George Berlin ; Boston De Gruyter [2024] © 2024 XXII, 368 Seiten Illustrationen, Diagramme (teilweise farbig) txt rdacontent n rdamedia nc rdacarrier De Gruyter textbook Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenmechanik TB: Textbook (DE-588)4123623-3 Lehrbuch gnd-content Quantenmechanik (DE-588)4047989-4 s DE-604 Si, Mingsu Verfasser aut George, Thomas F. 1947- Verfasser (DE-588)117221199X aut Erscheint auch als Online-Ausgabe, PDF 978-3-11-067215-2 Erscheint auch als Online-Ausgabe, EPUB 978-3-11-067228-2 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035005172&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zhang, Guo-ping Si, Mingsu George, Thomas F. 1947- Quantum mechanics Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4123623-3 |
| title | Quantum mechanics |
| title_auth | Quantum mechanics |
| title_exact_search | Quantum mechanics |
| title_full | Quantum mechanics Guo-Ping Zhang, Mingsu Si, Thomas F. George |
| title_fullStr | Quantum mechanics Guo-Ping Zhang, Mingsu Si, Thomas F. George |
| title_full_unstemmed | Quantum mechanics Guo-Ping Zhang, Mingsu Si, Thomas F. George |
| title_short | Quantum mechanics |
| title_sort | quantum mechanics |
| topic | Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Quantenmechanik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=035005172&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT zhangguoping quantummechanics AT simingsu quantummechanics AT georgethomasf quantummechanics |