For investigating dynamic evolution of a mass-varying harmonic oscillator we constitute a ket-bra integrationoperator in coherent state representation and then perform this integral by virtue of the technique of integ...For investigating dynamic evolution of a mass-varying harmonic oscillator we constitute a ket-bra integrationoperator in coherent state representation and then perform this integral by virtue of the technique of integration withinan ordered product of operators.The normally ordered time evolution operator is thus obtained.We then derive theWigner function of u(t)|n>,where |n> is a Fock state,which exhibits a generalized squeezing,the squeezing effect isrelated to the varying mass with time.展开更多
An M/G/1 retrial queue with a first-come-first-served (FCFS) orbit,general retrial time,two-phase service and server breakdown is investigated in this paper.Customers are allowed to balkand renege at particular times....An M/G/1 retrial queue with a first-come-first-served (FCFS) orbit,general retrial time,two-phase service and server breakdown is investigated in this paper.Customers are allowed to balkand renege at particular times.Assume that the customers who find the server busy are queued inthe orbit in accordance with an FCFS discipline.All customers demand the first 'essential' service,whereas only some of them demand the second 'optional' service,and the second service is multi-optional.During the service,the server is subject to breakdown and repair.Assume that the retrialtime,the service time,and the repair time of the server are all arbitrarily distributed.By using thesupplementary variables method,the authors obtain the steady-state solutions for both queueing andreliability measures of interest.展开更多
基金Supported by National Natural Science Foundation of China under Grant No.10874174
文摘For investigating dynamic evolution of a mass-varying harmonic oscillator we constitute a ket-bra integrationoperator in coherent state representation and then perform this integral by virtue of the technique of integration withinan ordered product of operators.The normally ordered time evolution operator is thus obtained.We then derive theWigner function of u(t)|n>,where |n> is a Fock state,which exhibits a generalized squeezing,the squeezing effect isrelated to the varying mass with time.
基金supported by the National Natural Science Foundation of China under Grant No. 10871020
文摘An M/G/1 retrial queue with a first-come-first-served (FCFS) orbit,general retrial time,two-phase service and server breakdown is investigated in this paper.Customers are allowed to balkand renege at particular times.Assume that the customers who find the server busy are queued inthe orbit in accordance with an FCFS discipline.All customers demand the first 'essential' service,whereas only some of them demand the second 'optional' service,and the second service is multi-optional.During the service,the server is subject to breakdown and repair.Assume that the retrialtime,the service time,and the repair time of the server are all arbitrarily distributed.By using thesupplementary variables method,the authors obtain the steady-state solutions for both queueing andreliability measures of interest.
