Quantum time evolution in terms of nonredundant probabilities

TY - JOUR

T1 - Quantum time evolution in terms of nonredundant probabilities

AU - Weigert, S.

N1 - © 2000 The American Physical Society. Reproduced in accordance with the publisher's self-archiving policy.

PY - 2000/1/31

Y1 - 2000/1/31

N2 - Each scheme of state reconstruction comes down to parametrize the state of a quantum system by expectation values or probabilities directly measurable in an experiment. It is argued that the time evolution of these quantities provides an unambiguous description of the quantal dynamics. This is shown explicitly for a single spin s, using a quorum of expectation values which contains no redundant information. The quantum mechanical time evolution of the system is rephrased in terms of a closed set of linear first-order differential equation coupling (2s+1)2 expectation values. This new representation of the dynamical law refers neither to the wave function of the system nor to its statistical operator.

AB - Each scheme of state reconstruction comes down to parametrize the state of a quantum system by expectation values or probabilities directly measurable in an experiment. It is argued that the time evolution of these quantities provides an unambiguous description of the quantal dynamics. This is shown explicitly for a single spin s, using a quorum of expectation values which contains no redundant information. The quantum mechanical time evolution of the system is rephrased in terms of a closed set of linear first-order differential equation coupling (2s+1)2 expectation values. This new representation of the dynamical law refers neither to the wave function of the system nor to its statistical operator.

U2 - 10.1103/PhysRevLett.84.802

DO - 10.1103/PhysRevLett.84.802

M3 - Article

SN - 0031-9007

VL - 84

SP - 802

EP - 805

JO - Physical Review Letters

JF - Physical Review Letters

IS - 5

ER -