Mediated Quantum Effects, In View Of The System

Mesoscopic physics is a hotspot in Condensed States Physics. It's a rather young branch of science, which started about 25 years old ago. It developed with the being researched of the current carrier in solid and the movement law of the electrons in disordered system. The scale less than or equal to the mean free path, which is the distance that an electron travels before its initial momentum is destroyed, called it mesoscopic system. Because of the scale of the mesoscopic system is equivalent to relevant length of the electronic wave function, the fluctuations of the quantum is shown especially. With the rapid development of the semiconductor industry, the circuit components on the field size has entered into mesoscopic system, we should consider the quantum effects of circuit devices. Because of the widespread applications of mesoscopic devices in micro-electronics technology and integrate circuit and so on, more and more attention has been paid to the research of those in today's word.In this paper, based on the studies of the several circuit models, which are in different structures (circuit components, coupled mode, and so on) on quantum effect in mesoscopic circuits. Beginning from the classic equation, we investigated the quantum fluctuations of a dissipative mesoscopic capacitance- resistance- inductance coupled circuit using canonical transformation unitary transformation. It is found that the quantum fluctuations of charge and current in each component circuit are not related to power source, but influenced by the devices and their magnitudes of the mesoscopic circuits. It's useful to reduce noise in circuits for the stability of signal and the quantum fluctuations in order to improve the stabilization of the integrated circuits and electrical components, and it can also provide a feasibility study ideas.There are following innovations in this paper:(1) To establish the model of the dissipative mesoscopic capacitance- resistance-inductance coupled circuit model, which is more universal than a single component or two components coupling circuit;(2) Using the quantum theory. We have studied the quantization in mesoscopic capacitance-resistance-inductance coupled circuit of two meshes using canonical transformation. The results reveal that its Hamiltonian is unitary equivalent to that of two independent harmonic oscillators. So we can study the quantum effect of the circuit for more.(3) Some methods and path are put forward to solve the quantum effect of different components and structures of the mesoscopic circuits, so we can investigate the characters of the mesoscopic circuit for the practicalities.There are analogous conclusions between the dissipative mesoscopic capacitance-resistance- inductance coupled circuit of two meshes and the coupled circuit with single component(capacitance or inductance) or two components (resistance-inductance or capacitance -inductance)on quantum effects when we reduce the numbers of the components from three to two or one, the conclusion is accordant. We can have more cognition to the path and methods of studying the mesoscopic circuits. All above is useful for people to design the microcircuit in people's living and production.