Relevant bibliographies by topics / Infinite quantum potential-well

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  2. Dissertations / Theses
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Academic literature on the topic 'Infinite quantum potential-well'

Author: Grafiati
Published: 4 June 2021
Last updated: 3 February 2022

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Journal articles on the topic "Infinite quantum potential-well"

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Gonçalves, A. Oakes O., M. F. Gusson, B. B. Dilem, R. G. Furtado, R. O. Francisco, J. C. Fabris, and J. A. Nogueira. "An infinite square-well potential as a limiting case of a square-well potential in a minimal-length scenario." International Journal of Modern Physics A 35, no. 14 (May 20, 2020): 2050069. http://dx.doi.org/10.1142/s0217751x20500694.

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One of the most widely problem studied in quantum mechanics is of an infinite square-well potential. In a minimal-length scenario its study requires additional care because the boundary conditions at the walls of the well are not well fixed. In order to avoid this we solve the finite square-well potential whose the boundary conditions are well fixed, even in a minimal-length scenario, and then we take the limit of the potential going to infinity to find the eigenfunctions and the energy equation for the infinite square-well potential. Although the first correction for the energy eigenvalues is the same as one found in the literature, our result shows that the eigenfunctions have the first derivative continuous at the square-well walls what is in disagreement with those previous work. That is because in the literature the authors have neglected the hyperbolic solutions and have assumed the discontinuity of the first derivative of the eigenfunctions at the walls of the infinite square-well which is not correct. As we show, the continuity of the first derivative of the eigenfunctions at the square-well walls guarantees the continuity of the probability current density and the unitarity of the time evolution operator.
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SUN, GUO-HUA, and SHI-HAI DONG. "NEW TYPE SHIFT OPERATORS FOR THREE-DIMENSIONAL INFINITE WELL POTENTIAL." Modern Physics Letters A 26, no. 05 (February 20, 2011): 351–58. http://dx.doi.org/10.1142/s0217732311034815.

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New type shift operators for three-dimensional infinite well potential are identified to connect those quantum systems with different radials R but with the same energy spectrum. It should be pointed out that these shift operators depend on all variables contained in wave functions. Thus they establish a novel relation between wave functions ψlm(r) and ψ(l±1)(m±1)(r).
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Hu, Bambi, Baowen Li, Jie Liu, and Yan Gu. "Quantum Chaos of a Kicked Particle in an Infinite Potential Well." Physical Review Letters 82, no. 21 (May 24, 1999): 4224–27. http://dx.doi.org/10.1103/physrevlett.82.4224.

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Kilbane, D., A. Cummings, G. O’Sullivan, and D. M. Heffernan. "Quantum statistics of a kicked particle in an infinite potential well." Chaos, Solitons & Fractals 30, no. 2 (October 2006): 412–23. http://dx.doi.org/10.1016/j.chaos.2006.01.010.

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Saputra, Yohanes Dwi. "Quantum Lenoir Engine with a Single Particle System in a One Dimensional Infinite Potential Well." POSITRON 9, no. 2 (December 2, 2019): 81. http://dx.doi.org/10.26418/positron.v9i2.34850.

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Lenoir engine based on the quantum system has been studied theoretically to increase the thermal efficiency of the ideal gas. The quantum system used is a single particle (as a working fluid instead of gas in a piston tube) in a one-dimensional infinite potential well with a wall that is free to move. The analogy of the appropriate variables between classical and quantum systems makes the three processes for the classical Lenoir engine applicable to the quantum system. The thermal efficiency of the quantum Lenoir engine is found to have the same formulation as the classical one. The higher heat capacity ratio in the quantum system increases the thermal efficiency of the quantum Lenoir engine by 56.29% over the classical version at the same compression ratio of 4.41.
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EL KINANI, A. H., and M. DAOUD. "COHERENT AND GENERALIZED INTELLIGENT STATES FOR INFINITE SQUARE WELL POTENTIAL AND NONLINEAR OSCILLATORS." International Journal of Modern Physics B 16, no. 26 (October 20, 2002): 3915–37. http://dx.doi.org/10.1142/s0217979202014656.

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This article is an illustration of the construction of coherent and generalized intelligent states which has been recently proposed by us for an arbitrary quantum system.1 We treat the quantum system submitted to the infinite square well potential and the nonlinear oscillators. By means of the analytical representation of the coherent states à la Gazeau–Klauder and those à la Klauder–Perelomov, we derive the generalized intelligent states in analytical ways.
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Beauchard, K., and M. Mirrahimi. "Approximate stabilization of a quantum particle in a 1D infinite potential well." IFAC Proceedings Volumes 41, no. 2 (2008): 8737–42. http://dx.doi.org/10.3182/20080706-5-kr-1001.01477.

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Harris, Richard, Jacobus Terblans, and Hendrik Swart. "Exciton binding energy in an infinite potential semiconductor quantum well–wire heterostructure." Superlattices and Microstructures 86 (October 2015): 456–66. http://dx.doi.org/10.1016/j.spmi.2015.08.010.

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Mousavi, S. V. "Quantum effective force in an expanding infinite square-well potential and Bohmian perspective." Physica Scripta 86, no. 3 (August 24, 2012): 035004. http://dx.doi.org/10.1088/0031-8949/86/03/035004.

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Kilbane, D., A. Cummings, G. O’Sullivan, and D. M. Heffernan. "The classical-quantum correspondence of a kicked particle in an infinite potential well." Chaos, Solitons & Fractals 30, no. 2 (October 2006): 424–40. http://dx.doi.org/10.1016/j.chaos.2006.01.011.

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Dissertations / Theses on the topic "Infinite quantum potential-well"

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Ahmed, Istiaque, and s3119889@student rmit edu au. "Canonical and Perturbed Quantum Potential-Well Problems: A Universal Function Approach." RMIT University. Electrical and Computer Engineering, 2007. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20080108.124715.

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The limits of the current micro-scale electronics technology have been approaching rapidly. At nano-scale, however, the physical phenomena involved are fundamentally different than in micro-scale. Classical and semi-classical physical principles are no longer powerful enough or even valid to describe the phenomena involved. The rich and powerful concepts in quantum mechanics have become indispensable. There are several commercial software packages already available for modeling and simulation of the electrical, magnetic, and mechanical characteristics and properties of the nano-scale devices. However, our objective here is to go one step further and create a physics-based problem-adapted solution methodology. We carry out computation for eigenfunctions of canonical and the associated perturbed quantum systems and utilize them as co-ordinate functions for solving more complex problems. We have profoundly worked with the infinite quantum potential-well problem, since they have closed-form solutions and therefore are analytically known eigenfunctions. Perturbation of the infinite quantum potential-well was done through a single box function, multiple box functions, and with a triangular function. The proposed solution concept utilizes the notion of
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Books on the topic "Infinite quantum potential-well"

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Solymar, L., D. Walsh, and R. R. A. Syms. The electron. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198829942.003.0003.

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Discusses with some rigour the properties of electrons, based on the Schrodinger equation. Introduces the concepts of wave function, quantum-mechanical operators, and wave packets. Examples cover the electron meeting an infinitely long potential barrier and the passage of electrons through a finite barrier (which leads to the phenomenon of tunnelling).The electron in a potential well is also discussed, solving the problem both for a finite and for an infinite well, and finding the permissible energy levels. The chapter is concluded with the philosophical implications that arise from the quantum-mechanical approach. Two limericks relevant to the subject are quoted.
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Book chapters on the topic "Infinite quantum potential-well"

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Berman, Paul R. "Problems in One-Dimension: General Considerations, Infinite Well Potential, Piecewise Constant Potentials, and Delta Function Potentials." In Introductory Quantum Mechanics, 115–62. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-68598-4_6.

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Dong, Shi-Hai. "INFINITELY DEEP SQUARE-WELL POTENTIAL." In Factorization Method in Quantum Mechanics, 57–71. Dordrecht: Springer Netherlands, 2007. http://dx.doi.org/10.1007/978-1-4020-5796-0_5.

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Baer, Tomas, and William L. Hase. "Dynamical Approaches to Unimolecular Rates." In Unimolecular Reaction Dynamics. Oxford University Press, 1996. http://dx.doi.org/10.1093/oso/9780195074949.003.0010.

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In the previous chapters theories were discussed for calculating the unimolecular rate constant as a function of energy and angular momentum. The assumption inherent in these theories is that a microcanonical ensemble is maintained during the unimolecular reaction and that every state in the energy interval E → E + dE has an equal probability of decomposing. Such theories are viewed as statistical since the unimolecular rate constant is found from a statistical counting of states in the microcanonical ensemble. A dynamical description of unimolecular decomposition is concerned with properties of individual states of the energized molecule. Of interest are the decomposition probabilities for the states as well as the rate of transitions between the states. Dynamical theories of unimolecular decomposition deal with the properties of vibrational/rotational energy levels, state preparation and intramolecular vibrational energy redistribution (IVR). Thus, the presentation in this chapter draws extensively on the previous chapters 2 and 4. Unimolecular decomposition dynamics can be treated using quantum and classical mechanics, and both perspectives are considered here. The role of nonadiabatic electronic transitions in unimolecular dynamics is also discussed. A molecule which can dissociate does not, strictly speaking, have a discrete energy spectrum. The relative motion of the product fragments is unbounded and, in this sense the motion of the unimolecular system is infinite, and hence the energy spectrum is continuous. However, it may happen that the dissociation probability of the molecule is sufficiently small that one can introduce the concept of quasi-stationary states. Such states are commonly referred to as resonances since the energy of the unimolecular fragments in the continuum is in resonance with (i.e., matches) the energy of a vibrational/rotational level of the unimolecular reactant. For unimolecular reactions there are two types of resonance states. The simplest type, a shape resonance, occurs when a molecule is temporarily trapped by a fairly high and wide potential energy barrier. The second type of resonance, called a Feshbach or compound-state resonance, occurs when energy is initially distributed between vibrational/rotational degrees of freedom of the molecule which are not strongly coupled to the fragment relative motion, so that there is a time lag for unimolecular dissociation.
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Conference papers on the topic "Infinite quantum potential-well"

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Saputra, Yohanes Dwi, and Agus Rifani. "Quantum dual-engine based on one-dimensional infinite potential well." In INTERNATIONAL CONFERENCE ON SCIENCE AND APPLIED SCIENCE (ICSAS) 2019. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5141640.

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Lee, S. H., J. Y. Sug, J. Y. Choi, G. Sa-Gong, and J. T. Lee. "The temperature depedence of quantum optical transition properties of GaN and GaAs in a infinite square well potential system." In 2009 IEEE International Ultrasonics Symposium. IEEE, 2009. http://dx.doi.org/10.1109/ultsym.2009.5441960.

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Long, D. T., L. T. Hung, and N. Q. Bau. "Influence of confined optical phonons on the Hall effect in a quantum well with high infinite potential under the presence of an intense electromagnetic wave." In 2016 Progress in Electromagnetic Research Symposium (PIERS). IEEE, 2016. http://dx.doi.org/10.1109/piers.2016.7735462.

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