On the validity and range of applicability of the particle in a box model

Burt, M.G.
August 1994
Applied Physics Letters;8/8/1994, Vol. 65 Issue 6, p717
Academic Journal
Examines the validity and applicability of the particle in a box model. Use of numerical results for a one-dimensional nanostructure with atomically abrupt boundaries; Variation in the envelope function; Observation on the effective mass related kink in the envelope function.


Related Articles

  • Dispersion and Fundamental Absorption Edge Analysis of Doped a-Si:H thin Films I : p-type. Bakry, Assem // Egyptian Journal of Solids;2008, Vol. 31 Issue 2, p191 

    The refractive indices and the extinction coefficients of Al doped a-Si:H films are determined from their transmittance spectrograms over a wide energy range, 0.45-2.5 eV. Analysis of the refractive index data yields the values of the long wavelength dielectric constant, the average oscillator...

  • Fowler-Nordheim hole tunneling in metal-Er2O3-silicon structures. Zhu, Y. Y.; Fang, Z. B.; Chen, S.; Liao, C.; Wu, Y. Q.; Fan, Y. L.; Jiang, Z. M. // Applied Physics Letters;9/17/2007, Vol. 91 Issue 12, p122914 

    Fowler-Nordheim (FN) tunneling of holes in metal-Er2O3–Si structures is confirmed. The effective mass of holes in Er2O3 films is estimated ranging from 0.068m to 0.092m, where m is the free electron mass. The film shows a high breakdown electric field of about 70 MV/cm for an Er2O3 film...

  • Electronic structure and transport properties of doped CoSi single crystal. Pan, Z. J.; Zhang, L. T.; Wu, J. S. // Journal of Applied Physics;2/1/2007, Vol. 101 Issue 3, p033715 

    The lattice parameter and electronic structures of CoSi and CoSi1-xYx (Y=Al and P, x=0.031 25 and 0.125) were calculated using the full-potential linear augmented plane wave approach based on density functional theory. The calculated lattice parameter of binary CoSi is about 0.27% smaller than...

  • Equivalence of Two Definitions of the Effective Mass of a Polaron. Lieb, Elliott; Seiringer, Robert // Journal of Statistical Physics;Jan2014, Vol. 154 Issue 1/2, p51 

    Two definitions of the effective mass of a particle interacting with a quantum field, such as a polaron, are considered and shown to be equal in models similar to the Fröhlich polaron model. These are: 1. the mass defined by the low momentum energy E( P)≈ E(0)+ P/2 M of the translation...

  • Dielectric control of spin in semiconductor spherical quantum dots. Planelles, J.; Rajadell, F.; Royo, M. // Journal of Applied Physics;Jul2008, Vol. 104 Issue 1, p014313 

    The ground state electronic configuration of semiconductor spherical quantum dots populated with different numbers of excess electrons, for different radii and dielectric constants of the embedding medium is calculated and the corresponding phase diagram drawn. To this end, an extension of the...

  • Plasma waves in two-dimensional electron-hole system in gated graphene heterostructures. Ryzhii, V.; Satou, A.; Otsuji, T. // Journal of Applied Physics;1/15/2007, Vol. 101 Issue 2, p024509 

    Plasma waves in the two-dimensional electron-hole system in a graphene-based heterostructure controlled by a highly conducting gate are studied theoretically. The energy spectra of two-dimensional electrons and holes are assumed to be conical (neutrinolike), i.e., corresponding to their zero...

  • Metamaterials for ballistic electrons. Dragoman, D.; Dragoman, M. // Journal of Applied Physics;5/15/2007, Vol. 101 Issue 10, p104316 

    This article presents a metamaterial for ballistic electrons, which consists of a quantum barrier formed in a semiconductor with negative effective electron mass. This barrier is the analog of a metamaterial for electromagnetic waves in media with negative electrical permittivity and magnetic...

  • Ultimate Stability of Matter: Becoming a Particle. Tsu, Raphael; Datta, Timir // AIP Conference Proceedings;2014, Vol. 1598, p3 

    The de Broglie relation is a consequence of Planck-Einstein's energy quantizationplus Lorentz invariance in describing any system of interaction. Once interaction results in astable minimum energy configuration, the system, including low dimensional structures anddevices, transforms into a...

  • Medium effects on $ \pi^{{-}}_{}$/ $ \pi^{{+}}_{}$ in heavy-ion collisions at intermediate energies. Yong, Gao-Chan // European Physical Journal A -- Hadrons & Nuclei;Dec2010, Vol. 46 Issue 3, p399 

    Based on the isospin-dependent transport model IBUU and on the scaling model according to nucleon effective mass, effects of elastic and inelastic NN scattering cross-sections on $ \pi^{{-}}_{}$/ $ \pi^{{+}}_{}$ in the neutron-rich reaction Ca + Ca at a beam energy of 400MeV/nucleon are studied....


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics