Quantum Lc-circuit satisfying the Schrodinger-Fisher-Kolmogorov equation and quantization of Dc-Pumped Josephson parametric amplifier

被引：12
作者：
El-Nabulsi, Rami Ahmad [1 ,2 ]
机构：
[1] Athens Inst Educ & Res, Math Div, 8 Valaoritou St, Athens 10671, Greece
[2] Athens Inst Educ & Res, Phys Div, 8 Valaoritou St, Athens 10671, Greece
来源：
PHYSICA E-LOW-DIMENSIONAL SYSTEMS & NANOSTRUCTURES | 2019年 / 112卷
关键词：
Generalized uncertainty relation; Schrodinger-Fisher-Kolmogorov equation; DC-Pumped Josephson parametric amplifier;
D O I：
10.1016/j.physe.2019.04.004
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
In this study, we have discussed the quantization of the electric LC-circuit based on the generalized Heisenberg's uncertainty relation. The new electric system is governed by the Schrodinger-Fisher-Kolmogorov equation where its Lagrangian and Hamiltonian structures are obtained. As an application, we have analyzed the DC-pumped Josephson parametric amplifier. Several new properties were analyzed and discussed accordingly.
引用
收藏
页码：115 / 120
页数：6
相关论文
共 34 条
[1]   Proposal for testing quantum gravity in the lab [J].
Ali, Ahmed Farag ;
Das, Saurya ;
Vagenas, Elias C. .
PHYSICAL REVIEW D, 2011, 84 (04)
[2]  
[Anonymous], ASYMPTOTICS SPECIAL
[3]  
[Anonymous], 1972, HDB MATH FUNCTIONS F
[4]  
[Anonymous], 1990, THESIS
[5]   Planck scale corrections to the harmonic oscillator, coherent, and squeezed states [J].
Bosso, Pasquale ;
Das, Saurya ;
Mann, Robert B. .
PHYSICAL REVIEW D, 2017, 96 (06)
[6]   Generalized uncertainty principle from quantum geometry [J].
Capozziello, S ;
Lambiase, G ;
Scarpetta, G .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2000, 39 (01) :15-22
[7]  
Danumjaya P, 2006, INT J NUMER ANAL MOD, V3, P186
[8]   Phenomenological implications of the generalized uncertainty principle [J].
Das, Saurya ;
Vagenas, Elias C. .
CANADIAN JOURNAL OF PHYSICS, 2009, 87 (03) :233-240
[9]  
Desoer C.A., 1987, LINEAR NONLINEAR CIR
[10]   On maximal acceleration and quantum acceleratum operator in quantum mechanics [J].
El-Nabulsi R.A. .
Quantum Studies: Mathematics and Foundations, 2018, 5 (4) :543-550
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