0000000000510604

AUTHOR

Giuseppe Marmo

showing 2 related works from this author

Higher-Order Differential Operators on a Lie Group and Quantization

1995

This talk is devoted mainly to the concept of higher-order polarization on a group, which is introduced in the framework of a Group Approach to Quantization, as a powerful tool to guarantee the irreducibility of quantizations and/or representations of Lie groups in those anomalous cases where the Kostant-Kirilov co-adjoint method or the Borel-Weyl-Bott representation algorithm do not succeed.

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsGroup (mathematics)Quantization (signal processing)FOS: Physical sciencesLie groupAstronomy and AstrophysicsDifferential operatorAtomic and Molecular Physics and OpticsAlgebraHigh Energy Physics - Theory (hep-th)IrreducibilityOrder (group theory)Representation (mathematics)Mathematics::Representation Theory
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A quantum particle in a box with moving walls

2013

We analyze the non-relativistic problem of a quantum particle that bounces back and forth between two moving walls. We recast this problem into the equivalent one of a quantum particle in a fixed box whose dynamics is governed by an appropriate time-dependent Schroedinger operator.

Statistics and ProbabilitySettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciDifferential equationFOS: Physical sciencesGeneral Physics and AstronomySettore FIS/03 - Fisica Della MateriaSchrödinger equationsymbols.namesakeBoundary ConditionMathematical PhysicsQuantum Mechanics; Boundary Conditions; Quantum Zeno effect; Time-dependent HamiltoniansPhysicsQuantum PhysicsQuantum particlePartial differential equationOperator (physics)Statistical and Nonlinear PhysicsMathematical Physics (math-ph)Quantum MechanicWave equationClassical mechanicsModeling and SimulationsymbolsQuantum Zeno effectQuantum Physics (quant-ph)Time-dependent HamiltoniansSchrödinger's cat
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