State reconstruction of anharmonic molecular vibrations: Morse-oscillator model

Ulf Leonhardt

State reconstruction of anharmonic molecular vibrations: Morse-oscillator model

Ulf Leonhardt

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

Abstract

The quantum state of a one-dimensional molecular vibration can be reconstructed via molecular emission tomography [T. J. Dunn, I. A. Walmsley, and S. Mukamel, Phys. Rev. Lett. 74, 884 (1995)] even in the case of anharmonic potentials. We assume a Morse-oscillator model for the vibration and calculate analytically the irregular wave functions. These mathematical objects serve as ingredients of the reconstruction procedure [U. Leonhardt and M. G. Raymer, Phys. Rev. Lett. 76, 1989 (1996)]. Additionally, we show why the observation time until the revival of order 1/2 is sufficient for an accurate state determination.

Original language	English
Pages (from-to)	3164-3172
Number of pages	9
Journal	Physical Review. A, Atomic, molecular, and optical physics
Volume	55
Publication status	Published - Apr 1997

Keywords

TOMOGRAPHY
DYNAMICS
PHASE

Cite this

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abstract = "The quantum state of a one-dimensional molecular vibration can be reconstructed via molecular emission tomography [T. J. Dunn, I. A. Walmsley, and S. Mukamel, Phys. Rev. Lett. 74, 884 (1995)] even in the case of anharmonic potentials. We assume a Morse-oscillator model for the vibration and calculate analytically the irregular wave functions. These mathematical objects serve as ingredients of the reconstruction procedure [U. Leonhardt and M. G. Raymer, Phys. Rev. Lett. 76, 1989 (1996)]. Additionally, we show why the observation time until the revival of order 1/2 is sufficient for an accurate state determination.",

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AB - The quantum state of a one-dimensional molecular vibration can be reconstructed via molecular emission tomography [T. J. Dunn, I. A. Walmsley, and S. Mukamel, Phys. Rev. Lett. 74, 884 (1995)] even in the case of anharmonic potentials. We assume a Morse-oscillator model for the vibration and calculate analytically the irregular wave functions. These mathematical objects serve as ingredients of the reconstruction procedure [U. Leonhardt and M. G. Raymer, Phys. Rev. Lett. 76, 1989 (1996)]. Additionally, we show why the observation time until the revival of order 1/2 is sufficient for an accurate state determination.

KW - TOMOGRAPHY

KW - DYNAMICS

KW - PHASE

UR - https://www.scopus.com/pages/publications/0000540124

M3 - Article

SN - 1050-2947

VL - 55

SP - 3164

EP - 3172

JO - Physical Review. A, Atomic, molecular, and optical physics

JF - Physical Review. A, Atomic, molecular, and optical physics

ER -

State reconstruction of anharmonic molecular vibrations: Morse-oscillator model

Abstract

Keywords

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