Expectation values of observables in time-dependent quantum mechanics

DOI10.1023/A:1023279311564zbMath0921.47059OpenAlexW1561536942MaRDI QIDQ1284846

Jean-Marie Barbaroux, Alain Joye

Publication date: 30 September 1999

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023279311564

zbMATH Keywords

HamiltonianSchrödinger equationevolution operatorquantum stabilityexpectation valuetime-dependent multiplicative potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of operator theory in the physical sciences (47N50) Schrödinger operator, Schrödinger equation (35J10)

Related Items (9)

Growth of Sobolev norms for abstract linear Schrödinger equations ⋮ Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori ⋮ On growth of Sobolev norms in time dependent linear Schrödinger equations on spheres ⋮ On growth of Sobolev norms in linear Schrödinger equations with time dependent Gevrey potential ⋮ ON THE STABILITY OF PERIODICALLY TIME-DEPENDENT QUANTUM SYSTEMS ⋮ On the energy growth of some periodically driven quantum systems with shrinking gaps in the spectrum ⋮ Growth of Sobolev Norms for Solutions of Time Dependent Schrödinger Operators with Harmonic Oscillator Potential ⋮ On time dependent Schrödinger equations: global well-posedness and growth of Sobolev norms ⋮ Quantum energy expectation in periodic time-dependent Hamiltonians via Green functions

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