Quantum dynamical correlations: Effective potential analytic continuation approach

We propose a new quantum dynamics method called the effective potential analytic continuation (EPAC) to calculate the real time quantum correlation functions at finite temperature. The method is based on the effective action formalism which includes the standard effective potential. The basic notions of the EPAC are presented for a one-dimensional double well system in comparison with the centroid molecular dynamics (CMD) and the exact real time quantum correlation function. It is shown that both the EPAC and the CMD well reproduce the exact short time behavior, while at longer time their results deviate from the exact one. The CMD correlation function damps rapidly with time because of ensemble dephasing. The EPAC correlation function, however, can reproduce the long time oscillation inherent in the quantum double well systems. It is also shown that the EPAC correlation function can be improved toward the exact correlation function by means of the higher order derivative expansion of the effective action.Comment: RevTeX4, 20 pages, 6 eps figure

In-liquid plasma using microwave power for applications

[EN] The research of in-liquid plasma that uses microwave as an energy source can be generated without depending on the electric conductivity of the solution, so it has wide application. However, it is not practical because the microwave antenna (plasma electrode) is deteriorated immediately. We were noticed that the microwave is pulsed to solve this problem. In this study, its optimum conditions was investigated. The best parameters of pulse microwave power was investigated using the generator (peak power ; 380 W, pulse width ; 13.4 msec and pulse duty cycle ; 16.7 msec). Stable in-liquid plasma could be generated in this conditions. This optimised system of in-liquid plasma tried to use applications for wastewater treatment and gel synthesis. In first application (wastewater treatment), tetrabromobisphenol A (TBBPA) was ionized and minerated by using in-liquid plasma method for only 20 min, respectivily. In second one (gel synthesis), in-liquid plasma can synthesize gel-synthesis without crosslinking agent and initiator. This new method could synthesize gel of dimethyl polysiloxane (silicone) and polyvinilypirroridone (PVP) without both crosslinking agent and initiator, it suggested that in-liquid plasma method is effective as a green chemistry process.Sawada, S.; Horikoshi, S. (2019). In-liquid plasma using microwave power for applications. En AMPERE 2019. 17th International Conference on Microwave and High Frequency Heating. Editorial Universitat Politècnica de València. 59-66. https://doi.org/10.4995/AMPERE2019.2019.9815OCS596

Flow Equation for Supersymmetric Quantum Mechanics

We study supersymmetric quantum mechanics with the functional RG formulated in terms of an exact and manifestly off-shell supersymmetric flow equation for the effective action. We solve the flow equation nonperturbatively in a systematic super-covariant derivative expansion and concentrate on systems with unbroken supersymmetry. Already at next-to-leading order, the energy of the first excited state for convex potentials is accurately determined within a 1% error for a wide range of couplings including deeply nonperturbative regimes.Comment: 24 pages, 8 figures, references added, typos correcte