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Alicki R., Lendi K. — Quantum Dynamical Semigroups And Applications

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Название: Quantum Dynamical Semigroups And Applications

Авторы: Alicki R., Lendi K.

Аннотация:

Reinvigorated by advances and insights, in particular from the active fields of quantum information and computing, the quantum theory of irreversible processes has recently attracted growing attention.

This volume introduces the very basic concepts of semigroup dynamics of open quantum systems and reviews a variety of modern applications. The present book, originally published as Vol. 286 (1987) in Lecture in Physics, has been newly typeset, revised and corrected and also expanded to include a review on recent developments.

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Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

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Год издания: 2007

Количество страниц: 129

Добавлена в каталог: 02.02.2010

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Предметный указатель

Quantum interference      28
Quantum Markovian master equations      7 47
Quantum optics      35 47
Quantum refrigerator      113
Quantum stochastic calculus      111
Quasi-free completely positive semigroups      29
Quasi-free quantum dynamical semigroups      37
Quasi-free reservoir      81 86
Quasi-stationary state      27
Qubits      114
Rabi oscillations      116
Rabi-frequency      68
Random external fields      6
Rate constant      70
Real relaxation matrix      55
Reduced dynamics      4 11
Reference state      2 39 81
Relative entropy      5 90 92 112
Relativistic covariance      40
Relativistic invariance      40
Relativistic quantum field theory      40
Relativistic semigroup      41
Relaxation parameters      49 62
Relaxation-matrix      61
Renormalization      26
Rescaled time      12
Reservoir      2 11
Resonances      115
Return to equilibrium      27
Rotating frame      64 69
Rotating wave approximation      64
Rotational symmetry      66 84
Saturation effects      79
Scalar product      17
Schwarz-inequality      96
Second law of thermodynamics      6 89
Self-adjoint      42
Self-adjoint operators      82
Semigroup condition      7
Separable Hilbert space      41
Singular coupling limit      18
Spectral decomposition      3
Spectral projectors      82
Spectral representation      42
Spectroscopy      77
Spherical oscillator      114
Spin-boson model      116
Spin-wave spectrum      88
Spin-wave theory      86
Spohn      12 58 78 112
Spontaneous emission      57 74 96 116
Square root operator      42
Standard forms of the generator      8
Stationary magnetization      71
Stationary state      6 16
Statistical independence      15 40
Stochastic differential equations      19 111
Stochastic wave function method      111
Strongly continuous      43
Strongly continuous semigroup      43
Structure constants      92 99

Structure constants of the Lie algebra      51
SU(3) decomposition      69
Subradiance      27
Sudarshan      3 8
Supermatrix      72
Superradiance      27
Symmetric product of operators      10
Symmetric “Onsager-coefficients”      92
Symmetry relations      85
Teleportation      110
Tensor product      2 4
The time-ordering      79
Thermal electromagnetic field      11
Thermodynamic equilibrium state      57
Thermodynamic limit      13 25 44
Three-level system      69 112
Time-dependence of entropy      89
Time-dependent generators      20 115
Time-dependent Hamiltonian      64
Time-dependent Hartree equation      21
Time-dependent information      95
Time-independent eigenvalue problem      55
Torrey-oscillations      72
Trace class operators      2 42
Trace norm      42
Trajectory      57
Transition map      34
Transition matrices      22
Transition probability      9
Two-level atom      24 57 74
Two-parameter family of dynamical maps      20
Two-point correlation functions      39
Ultraviolet cut-off      25
Unbounded generator      110
Unbounded observables      2
Unbounded solutions      47
Uncorrelated product state      2
Uniquely relaxing semigroup      78
Unitarity      15
Unitary control      112
Unitary dilations      111
Unitary operator      2
Unitary representation      40
Unity preserving map      4 40
Unstable elementary particles      40
Vacuum state      38 41 114
Van der Waals interaction      26
Van Hove-functions      87
Violation of ordinary Bloch-equations      79
Violation of positivity      84
Vlasov equation      21
Von Neumann conditions      47 79
von Neumann entropy      5
Weak coupling approximation      12
Weak coupling limit      16 30 39 78 81
Weakly continuous      43
Weakly irreversible processes      90
Weyl operators      31 36 41
Wick contractions      116
Wigner — Weisskopf type      116
Wings of the lineshape      98
Zwanzig      10

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