183 Result(s)
-
Chapter
An Exactly Solvable Electron—Phonon System
Starting from Heisenberg’s equations of motion, we calculate the exact time dependent drift velocity of a single electron, which is harmonically coupled to a phonon bath according to the Caldeira-Leggett (CL) ...
-
Chapter
Classical Mechanics
After Newton formulated his principles of mechanics, a more sophisticated formulation of classical mechanics was set up which is currently known as analytical mechanics. Although the principles remain untouche...
-
Chapter
Conductance Quantization
Exploiting the possibility of down scaling the sizes of modern semiconductor devices, their insulating layers and the connecting wires, one has gradually entered the range where quantum physics dominates the d...
-
Chapter
Quantum Mechanics
The theory of relativity has changed our way of thinking about the structure of space—time. Nevertheless it has resulted in a fully coherent and consistent picture. Quantum mechanics on the other hand has revo...
-
Chapter
Future Work
This last chapter is devoted to some speculative suggestions for further theoretical research. It also gives the reader a number of suggestions that may trigger his drive to contribute to the deeper understand...
-
Chapter
Second Quantization
In the preceding chapters we have mostly paid attention to the quantum mechanics of single particles. For that purpose we have worked the so-called first quantization scheme replacing classical quantities by s...
-
Chapter
Non-equilibrium Statistical Mechanics
The problem of transport, which is inherently statistical, becomes very subtle, if one wants to set up a formalism in which the starting point is the phase or Gibbs space. The key ingredient is of course that ...
-
Chapter
Velocity—Field Characteristics of a Silicon MOSFET
In this chapter we will study the motion of a quasi-two-dimensional electron gas residing in the conduction channel established in the inversion layer of a p-type silicon (Si) MOSFET due to a positive gate voltag...
-
Chapter
Quantum Transport in Vertical Devices
The key to the growth of microelectronics during the last 30 years has been the drive to ever smaller dimensions of the devices using the principle of scaling introduced in the mid 1960’s and early 1970’s. The...
-
Chapter
The Many Faces of Transport
Nature exhibits a bewildering variety of different transport phenomena. We all are aware that walking from one place to another demands the use of muscular strength to realize the activity. It requires an effo...
-
Chapter
Open Versus Closed Systems
Quantum transport in open systems is obscured by the fact that the number of carriers is not well defined. We cannot even define an expectation values for the number of particles, since particles permanently l...
-
Chapter
Mathematical Interlude
Before collecting the fundamentals of quantum mechanics, it may be worth to take a closer look at some key ingredients of the toolbox of theoretical physics which provide us with some elementary comfort during...
-
Chapter
Transport in Quantum Wires
In various circumstances, the electric field in an active device region may not only be inhomogeneous, but also too large for applying linear response theory. In such cases the difference between the initial s...
-
Chapter
Single-Particle Quantum Mechanics
This work is not aiming at a general tutorial on quantum physics nor does it intend to emulate the (n + l)-th book about quantum mechanics after mankind was overwhelmed by the huge reservoir of n preceding good, ...
-
Chapter
Equilibrium Statistical Mechanics
In this section we review the entropy principle, which may serve as a basis for deriving various assemble density functions. The principle has a long history and has been the topic of controversy over many yea...
-
Chapter
Wigner Distribution Functions
A popular method to include quantum effects into the calculation of the characteristics of submicron devices is based on the Wigner functions. The underlying idea is that quantum transport can be catched into ...
-
Chapter
Balance Equations
In this chapter a set of quantum mechanical balance equations will be derived, which can be further used as a starting point in order to establishing a workable scheme for concrete transport calculations. Cont...
-
Chapter
Gate Leakage Currents
We will present a method for the evaluation of the charge distribution and quantum-mechanical leakage currents in ultra-thin metal-insulator-semiconductor (MIS) gate stacks that may be composed of several laye...
-
Chapter and Conference Paper
Is the 13C Nuclear Spin-Lattice Relaxation in A3C60 (A = Rb, K) Unconventional?
I want to point out that the simple Korringa relation does not hold for A3C60 ,i.e. density of states information cannot be obtained from T 1 data. A modified Korringa relation must be applied ins...
-
Chapter and Conference Paper
NMR Studies of Fullerene C60-Based Compounds
We present NMR studies performed on AnC60 compounds, where A can be K, Rb, I2, O2 and n can be 1, 2, 3 and 6 depending on the system. Using high resolution NMR we have obtained information on the molecular dynami...