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    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) ...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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 ...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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, ...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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 ...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    Dr. Wim Magnus, Dr. Wim Schoenmaker in Quantum Transport in Submicron Devices (2002)

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    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...

    M. Mehring in Electronic Properties of Fullerenes (1993)

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    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...

    P. Bernier, F. Rachdi, M. Ribet, J. Reichenbach in Electronic Properties of Fullerenes (1993)

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