醉染图书力场的量子信息9787560396491

Preface

Acknowledgements

Biography

1 Introduction

1.1 ntum information

1.2 ntum communications

1.3 ntum computing

1.4 ntum sensors

1.5 Relativistic quantum information

1.6 Summary

2 Spe and general relativity

2.1 Spe relativity

2.2 Lorentz transformations

. Lagrangian dynamics

2.4 The principle of equivalence

2.4.1 Particle dynamics in a gravitational field

2.4.2 Torsion

2.4.3 Geodesics and geodesic congruences

2.5 The principle of general covariance

2.5.1 Tensor analysis

2.5.2 Covariant derivatives

2.5.3 The coordinate basis

2.5.4 The minimal substitution rule

2.5.5 The energy-momentum tensor

2.5.6 The Euler-Lagrange equations

2.6 The Hamilton-Jacobi equations

2.7 Einsteins field equations

2.8 Principles of conservation

2.9 Killing vectors

2.10 Tetrad fields

2.11 Spin in general relativity

2.12 The spin-curvature coupling

2.13 Summary

3 Relativistic quantum fields

3.1 The Schrodinger equation

3.2 The Klein-Gordon equation

3.3 Scalar quantum fields

3.4 The quantum Poincare transformations

3.5 Wigner rotations

3.5.1 Massive particles

3.5.2 Massless particles

3.6 The Dirac equation

3.6.1 SO(3) and SU(2)

3.6.2 SL(2,C) and SO+(3,1)

3.6.3 Four-spinors

3.6.4 Particle dynamics

3.6.5 Free partic sors

3.6.6 Spin and helicity

3.7 Dirac quantum fields

3.8 Group representations in quantum field theory

3.8.1 Non-unitary representations of the Lorentz group and quantum fields

3.8.2 Unitary representations of the Poincare group and quantum states

3.8.3 Unitary/non-unitary representations and wave functions

3.9 Representations of quantum fields with arbitrary spin

3.9.1 Scalar fields

3.9.2 Vector fields

3.9.3 Tensor fields

3.9.4 Dirac fields

3.10 The quantum vacuum in flat spacetime

3.11 Summary

4 ntum information in inertial frames

4.1 bit transformations

4.2 Relativistic dynamics

4.3 Steganographic quantum channel

4.3.1 Relativistic communications

4.3.2 Relativistic fixed points

4.4 The teleportation channel

4.4.1 Relativistic teleportation

4.4.2 Absence of relativistic fixed points

4.5 Spread momentum states

4.6 Summary

5 ntum fields in curved spaeetimes

5.1 Scalar fields in curved spacetime

5.2 ntum dynamics in general relativity

5.2.1 The plane wave approximation

5.2.2 Hilbert spaces

5.. Scalar orbital angular momentum eigenstates

5.2.4 Scalar four-momentum eigenstates

5.3 The quantum vacuum in a gravitational field

5.4 The spin-statistics connection

5.5 ntum vector fields in curved spacetime

5.6 Spinors in curved spacetimes

5.7 Covariant derivative for fields of arbitrary spin

5.7.1 General form

5.7.2 Scalar fields

5.7.3 Vector fields

5.7.4 Tetrad fields

5.7.5 Dirac fields

5.8 Spinor dynamics with tetrad fields

5.9 Dirac spinors in curved spacetime

5.9.1 Solution at order h

5.9.2 Geodesic deviation at order h1

5.10 The spin-curvature coupling

5.11 Summary

6 bits in Schwarzschild spacetime

6.1 Metric tensor

6.2 Structure of Schwarzschild spacetime

6.3 Tetrad fields and connection one-forms

6.3.1 Affine connections

6.3.2 Curvature tensor

6.3.3 Tetrad fields

6.3.4 Connection one-forms

6.4 Geodesics

6.5 ntum dynamics

6.6 Wigner rotations

6.6.1 Equatorial radial fall (θ = π/2, J = O)

6.6.2 Equatorial circular orbits (θ = π/2, ur = 0)

6.6.3 General equatorial circular paths (θ = π/2, ar≠0)

6.6.4 Geodetic precession of classical gyroscopes

6.7 Radiation damping

6.8 Summary

7 Spin-curvature coupling in Schwarzschild spacetime

7.1 Spinor components

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