# Quantum harmonic oscillator

## Papers overview

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2017

2017

- 2017

In this paper we study the evolution of superoscillating initial data for the quantum driven harmonic oscillator. Our main resultâ€¦Â (More)

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2015

2015

- 2015

We consider the energy critical nonlinear SchrÃ¶dinger equation in dimensions 3 and above with a harmonic oscillator potential. Inâ€¦Â (More)

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2012

2012

- 2012

We study many-body properties of quantum harmonic oscillator lattices with disorder. A sufficient condition for dynamicalâ€¦Â (More)

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2009

2009

- CMMR/ICAD
- 2009

This work deals with the sonification of a quantum mechanical system and the processes that occur as a result of its quantumâ€¦Â (More)

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2006

2006

- 2006

In the framework of the Lindblad theory for open quantum systems the damping of the harmonic oscillator is studied. Aâ€¦Â (More)

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2005

2005

- 2005

The paraxial approximation to the scalar Helmholtz equation is shown to be equivalent to the SchrÃ¶dinger equation for a quantumâ€¦Â (More)

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2004

2004

- 2004

The harmonic oscillator has infinities that presage those of field theory arising from its singular groups. Group regularizationâ€¦Â (More)

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2004

2004

- IEEE Transactions on Automatic Control
- 2004

It is proven in a previous paper that any modal approximation of the one-dimensional quantum harmonic oscillator is controllableâ€¦Â (More)

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2002

2002

- 2002

We show that the unitary evolution of a harmonic oscillator coupled to a two-level system can be undone by a suitableâ€¦Â (More)

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1991

1991

- 1991

The qâ€“deformation U q (h 4) of the harmonic oscillator algebra is defined and proved to be a Ribbon Hopf algebra. Associated withâ€¦Â (More)

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