Generalized Heisenberg Algebras, SUSYQM and Degeneracies: Infinite Well and Morse Potential [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We consider classical and quantum one and two-dimensional systems with ladder operators that satisfy generalized Heisenberg algebras. In the classical case, this construction is related to the existence of closed trajectories.
Véronique Hussin, Ian Marquette
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Quantum statistics of a kicked particle in an infinite potential well [PDF]
Chaos, Solitons & Fractals, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kilbane, D. +3 more
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Bound states in a semi-infinite square potential well [PDF]
Revista Brasileira de Ensino de FísicaThe finite square potential well is a staple problem in introductory quantum mechanics. There is an extensive literature on the determination of the allowed energies, which requires the solution of a transcendental equation by numerical, graphical or ...
Nivaldo Agostinho Lemos
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Collective excitations in even-even nuclei with a stepped infinite square well potential [PDF]
EPJ Web of Conferences, 2023 A solution is worked out for a γ-unstable Bohr Hamiltonian with an infinite square well potential having an adjustable step. The evolution of the model’s spectral characteristics are investigated with varying height and width of the additional step ...
Budaca Andreea-Ioana, Budaca Radu
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Quantum states of a particle in a box via unilateral Fourier transform [PDF]
Revista Brasileira de Ensino de Física, 2020 The quantum problem of stationary states of a particle in a box is revisited by means of the unilateral Fourier transform. Homogeneous Dirichlet boundary conditions demand a finite Fourier sine transform which is actually the Fourier sine series.
Douglas W. Vieira, Antonio S. de Castro
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Bound on Efficiency of Heat Engine from Uncertainty Relation Viewpoint
Entropy, 2021 Quantum cycles in established heat engines can be modeled with various quantum systems as working substances. For example, a heat engine can be modeled with an infinite potential well as the working substance to determine the efficiency and work done ...
Pritam Chattopadhyay +3 more
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Token Games and History-Deterministic Quantitative-Automata [PDF]
Logical Methods in Computer Science, 2023 A nondeterministic automaton is history-deterministic if its nondeterminism can be resolved by only considering the prefix of the word read so far. Due to their good compositional properties, history-deterministic automata are useful in solving games and
Udi Boker, Karoliina Lehtinen
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An infinite square-well potential as a limiting case of a square-well potential in a minimal-length scenario [PDF]
International Journal of Modern Physics A, 2020 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 ...
Gonçalves, André Oakes O. +6 more
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A New Approach to Modeling Focused Infrared Heating Based on Quantum Mechanical Formulations
Applied Sciences, 2022 The focused infrared (IR) heating method is an energy-efficient heating technology for engineering applications. Numerical models of focused IR heating technology have been introduced based on the theory of ray optics. The ray optics-based IR models have
Sung-Hyun Oh, Eun-Ho Lee
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Lévy flights in an infinite potential well as a hypersingular Fredholm problem [PDF]
Physical Review E, 2016 We study Lévy flights with arbitrary index ...
Helena Kiriczenko +3 more
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