Publication

Electronic states in hyperbolic-boundary crescent-shaped quantum wires

Elyahou Kapon, Marc-André Dupertuis
1999
Journal Articles

Abstract

A fully two-dimensional study of the electronic sub-bands in crescent-shaped quantum wires is presented. The confinement energies and the wave functions are compared by means of an aspect ratio to those produced by the adiabatic approximation. Guidelines for applying the adiabatic model are provided and the adiabatic quantum number classification scheme is discussed. "Non-adiabatic" states are determined among the first few sub-bands and a built-in dipole is identified. The energy spectrum is explored as a function of wire dimensions achievable by present-day technology. Wire parameters corresponding to maximized sub-band separations are determined.

Official source

https://infoscience.epfl.ch/entities/publication/da60245f-56ce-4ce4-a040-464779b91861

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Elyahou Kapon, Marc-André Dupertuis
1999
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/da60245f-56ce-4ce4-a040-464779b91861

About this result

Related concepts (32)

Adiabatic process

In thermodynamics, an adiabatic process (Greek: adiábatos, "impassable") is a type of thermodynamic process that occurs without transferring heat or mass between the thermodynamic system and its environment. Unlike an isothermal process, an adiabatic process transfers energy to the surroundings only as work. As a key concept in thermodynamics, the adiabatic process supports the theory that explains the first law of thermodynamics. Some chemical and physical processes occur too rapidly for energy to enter or leave the system as heat, allowing a convenient "adiabatic approximation".

Adiabatic theorem

The adiabatic theorem is a concept in quantum mechanics. Its original form, due to Max Born and Vladimir Fock (1928), was stated as follows: A physical system remains in its instantaneous eigenstate if a given perturbation is acting on it slowly enough and if there is a gap between the eigenvalue and the rest of the Hamiltonian's spectrum. In simpler terms, a quantum mechanical system subjected to gradually changing external conditions adapts its functional form, but when subjected to rapidly varying conditions there is insufficient time for the functional form to adapt, so the spatial probability density remains unchanged.

Heat capacity ratio

In thermal physics and thermodynamics, the heat capacity ratio, also known as the adiabatic index, the ratio of specific heats, or Laplace's coefficient, is the ratio of the heat capacity at constant pressure (CP) to heat capacity at constant volume (CV). It is sometimes also known as the isentropic expansion factor and is denoted by γ (gamma) for an ideal gas or κ (kappa), the isentropic exponent for a real gas. The symbol γ is used by aerospace and chemical engineers.