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Nonstandard Unitary Transformations of Quantum States

Journal of Applied Mathematics and Physics 2023年第9期11卷 2568-2575页

作者： Gombojav O. Ariunbold Department of Physics and Astronomy Mississippi State University Starkville MS USA

In quantum optics, unitary transformations of arbitrary states are evaluated by using the taylor series expansion. However, this traditional approach can become cumbersome for the transformations involving non-commuting operators. Addressing this issue, a nonstandard unitary transformation technique is highlighted here with new perspective. In a spirit of “quantum” series expansions, the transition probabilities between initial and final states, such as displaced, squeezed and other nonlinearly transformed coherent states are obtained both numerically and analytically. This paper concludes that, although this technique is novel, its implementations for more extended systems are needed.

关键词： taylor series Unitary Transformation Temporal Evolution Displaced State Coherent State Squeezed State Two-Mode Squeezed State Holstein-Primakoff State

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Least square and Kalman based methods for dynamic phasor estimation:a review

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Protection and Control of Modern Power Systems 2017年第1期2卷 1-18页

作者： Jalal Khodaparast Mojtaba Khederzadeh Electrical and Computer Engineering Department Shahid Beheshti UniversityTehran 165895371Iran

The characterization of sinusoidal signals with time varying amplitude and phase is useful and applicable for many *** several algorithms have been suggested to estimate main aspects of these *** no standard approach to test the properties of these algorithms,it seems to be helpful to discuss a large class of algorithms according to their *** this paper,six methods of estimating dynamic phasor have been reviewed and discussed which three of them are based on least square and others are based on Kalman *** expansion is used as a first step and continued with least square or Kalman filter in accordance with the proposal observer of each *** theoretical processes of these methods are briefly *** characterizations have been made by some tests in time and frequency *** tests include amplitude step,phase step,frequency step,frequency response,total vector error,transient monitor,noise,sample number,computation time,harmonic and DC offset which build a framework to compare the different methods.

关键词： PMU Dynamic phasor Kalman filter taylor series Least square

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