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We propose an experiential formula for the calculation of the energy eigenvalues of a particle moving in a one-dimension finite-deep square well potential after some physical considerations. This formula shows a simple relation between the…

Quantum Physics · Physics 2007-05-23 Zhi-Ming Zhang , Chun-Hua Yuan

Garrett's approximation for the calculation of bound states energy in square wells is applied in a consistent way. So, one obtains simple formulas for these energies, with errors of about 1% for moderate, and 0.01% for deep wells. The…

General Physics · Physics 2018-05-16 Victor Barsan

In this paper, the capacitance of a parallel plate air-gap rectangular capacitor, and a unit cube capacitor have been calculated. Because of its generality and simplicity, the method of moments (MOM) Technique is utilized. In order to…

Computational Engineering, Finance, and Science · Computer Science 2022-06-13 Saeed Sarkarati , Mohammad Mehdi Tehranchi , Esfandiar Mehrshahi

The effects of quantum confinement on the momentum distribution of electrons confined within a cylindrical potential well have been analyzed. The motivation is to understand specific features of the momentum distribution of electrons when…

Atomic Physics · Physics 2016-05-04 A. S. Baltenkov , A. Z. Msezane

In this work we study a possibility of waveguide fabrication on the basis of active quantum wells in semiconductor lasers. The efficiency of such a waveguide for an InP structure with In0.53Ga0.47As quantum wells is demonstrated…

The thermodynamic potential of an ideal nonrelativistic gas of two-dimensional electrons in crossed uniform magnetic and electric fields is constructed. For low temperatures and very weak electric fields, it is shown that the Hall…

Condensed Matter · Physics 2007-05-23 Choon-Lin Ho , V. R. Khalilov , Chi Yang

The double well potential is arguably one of the most important potentials in quantum mechanics, because the solution contains the notion of a state as a linear superposition of `classical' states, a concept which has become very important…

Physics Education · Physics 2012-11-21 V. Jelic , F. Marsiglio

An optical method is suggested to determine the concentration of two-dimensional electrons in modulation-doped quantum wells at low and moderate electron densities between 10^{9} and 2x10^{11} cm^{-2}. The method is based on an analysis of…

We show how capacitance can be calculated simply and efficiently for electrodes cut in a 2-dimensional ground plane. These results are in good agreement with exact formulas and numerical simulations.

Classical Physics · Physics 2014-10-15 John M. Martinis , Rami Barends , Alexander N. Korotkov

The analytical transfer matrix technique is applied to the Schr\"{o}dinger equation of symmetric quartic-well potential problem in the form $V(x)={1/2}kx^{2}+\lambda{x^{4}}.$ This gives quantization condition from which we can calculate the…

Other Condensed Matter · Physics 2009-11-13 Artit Hutem , Chanun Sricheewin

We report the observation of an electron gas in a SiGe/Si/SiGe quantum well with maximum mobility up to 240 m^2/Vs, which is noticeably higher than previously reported results in silicon-based structures. Using SiO, rather than Al_2O_3, as…

Mesoscale and Nanoscale Physics · Physics 2015-03-06 M. Yu. Melnikov , A. A. Shashkin , V. T. Dolgopolov , S. -H. Huang , C. W. Liu , S. V. Kravchenko

Based on a thermodynamic approach, we have calculated the resistivity of a 2D electron gas, assumed $dissipationless$ in a strong quantum limit. Standard measurements, with extra current leads, define the resistivity caused by a combination…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. V. Cheremisin

We present theoretical calculations for the spectral functions and single-particle densities of states of the two-dimensional electron gas in semiconductor quantum wells at different electron densities using the GW+cumulant method. We…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Johannes Lischner , Derek Vigil-Fowler , Steven G. Louie

We use frequency-dependent capacitance-voltage spectroscopy to measure the tunneling probability into self-assembled InAs quantum dots. Using an in-plane magnetic field of variable strength and orientation, we are able to obtain information…

Other Condensed Matter · Physics 2009-11-10 Oliver S. Wibbelhoff , Axel Lorke , Dirk Reuter , Andreas D. Wieck

An infinite sequence of potential well functions is considered. A numerical method is used for the Schr$\ddot{\text{o}}$dinger equation to obtain the energy eigenvalue spectra for a number of these potential well functions. The results for…

Quantum Physics · Physics 2018-06-06 Rodney O. Weber

A rich literature has been produced on the quantum states of atoms and molecules confined into infinite potential wells with a specified symmetry. Apart from their interest as basic quantum systems, confined atoms and molecules are useful…

Chemical Physics · Physics 2019-04-03 Savino Longo , Gaia Micca Longo , Domenico Giordano

We have investigated the conditions necessary to achieve stronger Cherenkov-like instability of plasma waves leading to emission in the terahertz (THz) regime for semiconductor quantum wells (QWs). The surface response function is…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Antonios Balassis , Godfrey Gumbs

In this work we investigate the electrostatic properties of two dimensional electron system (2DES) in the integer quantum Hall regime. The alternating screening properties of compressible and incompressible strips are formed due to edge…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 E. Guvenilir , O. Kilicoglu , D. Eksi , A. Siddiki

In this paper, we implement a quantum algorithm -on IBM quantum devices, IBM QASM simulator and PPRC computer cluster -to find the energy values of the ground state and the first excited state of a particle in a finite square-well…

Quantum Physics · Physics 2021-08-18 Sina Shokri , Shahnoosh Rafibakhsh , Faezeh Pooshgan , Rita Faeghi

Highly accurate closed-form approximations are given for the ground state and first excited state wavefunctions and energies for a nonrelativistic particle in a one-dimensional double square well potential with a square barrier in between…

Quantum Physics · Physics 2017-11-22 Don N. Page