Inverted Oscillator Quantum States in the Probability Representation

The quantizer–dequantizer formalism is used to construct the probability representation of quantum system states. Comparison with the probability representation of classical system states is discussed. Examples of probability distributions describing the system of parametric oscillators and inverted...

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Main Authors: Olga V. Man’ko, Vladimir I. Man’ko
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/2/217
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author Olga V. Man’ko
Vladimir I. Man’ko
author_facet Olga V. Man’ko
Vladimir I. Man’ko
author_sort Olga V. Man’ko
collection DOAJ
description The quantizer–dequantizer formalism is used to construct the probability representation of quantum system states. Comparison with the probability representation of classical system states is discussed. Examples of probability distributions describing the system of parametric oscillators and inverted oscillators are presented.
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spelling doaj.art-766f6ae27d2140c3b210ba9ca83011682023-11-16T20:22:25ZengMDPI AGEntropy1099-43002023-01-0125221710.3390/e25020217Inverted Oscillator Quantum States in the Probability RepresentationOlga V. Man’ko0Vladimir I. Man’ko1Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow 119991, RussiaLebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow 119991, RussiaThe quantizer–dequantizer formalism is used to construct the probability representation of quantum system states. Comparison with the probability representation of classical system states is discussed. Examples of probability distributions describing the system of parametric oscillators and inverted oscillators are presented.https://www.mdpi.com/1099-4300/25/2/217probability distributionsquantizer operatordequantizer operator
spellingShingle Olga V. Man’ko
Vladimir I. Man’ko
Inverted Oscillator Quantum States in the Probability Representation
Entropy
probability distributions
quantizer operator
dequantizer operator
title Inverted Oscillator Quantum States in the Probability Representation
title_full Inverted Oscillator Quantum States in the Probability Representation
title_fullStr Inverted Oscillator Quantum States in the Probability Representation
title_full_unstemmed Inverted Oscillator Quantum States in the Probability Representation
title_short Inverted Oscillator Quantum States in the Probability Representation
title_sort inverted oscillator quantum states in the probability representation
topic probability distributions
quantizer operator
dequantizer operator
url https://www.mdpi.com/1099-4300/25/2/217
work_keys_str_mv AT olgavmanko invertedoscillatorquantumstatesintheprobabilityrepresentation
AT vladimirimanko invertedoscillatorquantumstatesintheprobabilityrepresentation