Results 11 to 20 of about 160,997 (311)

Fingerprints of the quantum space-time in time-dependent quantum mechanics: An emergent geometric phase

Nuclear Physics B, 2022
We show the emergence of Berry phase in a forced harmonic oscillator system placed in the quantum space-time of Moyal type, where the time ‘t’ is also an operator.
Anwesha Chakraborty, Partha Nandi, Biswajit Chakraborty   +2 more
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Algebraic solution for the classical harmonic oscillator

Revista Brasileira de Ensino de Física, 2023
The harmonic oscillator is one of the most studied systems in Physics with a myriad of applications. One of the first problems solved in a Quantum Mechanics course is calculating the energy spectrum of the simple harmonic oscillator with analytic and ...
Murilo B. Alves
doaj   +1 more source

Spiked harmonic oscillators [PDF]

Journal of Mathematical Physics, 2002
A complete variational treatment is provided for a family of spiked-harmonic oscillator Hamiltonians H=−d2/dx2+Bx2+λ/xα(B>0,λ>0), for arbitrary α>0. A compact topological proof is presented that the set S={ψn} of known exact solutions for α=2 constitutes an orthonormal basis of the Hilbert space L2(0,∞). Closed-form expressions are
Hall, Richard L., Saad, Nasser, von Keviczky, Attila B.   +2 more
openaire   +3 more sources

Topological Effects of a Spiral Dislocation on Quantum Revivals

Universe, 2022
We analyse the influence of spiral dislocation topology on the revival time for the harmonic oscillator, for a particle confined to one-dimensional quantum ring, and a two-dimensional quantum ring. We first investigate the effects of a cut-off point that
Anderson V. D. M. Maia, Knut Bakke
doaj   +1 more source

Creating electronic oscillator-based Ising machines without external injection locking

Scientific Reports, 2022
Coupled electronic oscillators have recently been explored as a compact, integrated circuit- and room temperature operation-compatible hardware platform to design Ising machines.
Jaykumar Vaidya, R. S. Surya Kanthi, Nikhil Shukla   +2 more
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The noncommutative harmonic oscillator in more than one dimensions [PDF]

, 2001
The noncommutative harmonic oscillator in arbitrary dimension is examined. It is shown that the $\star$-genvalue problem can be decomposed into separate harmonic oscillator equations for each dimension. The noncommutative plane is investigated in greater
Agapitos Hatzinikitas, Bayen F., Castellani L., Chu C., Chu C., Dodonov V. V., Ioannis Smyrnakis   +6 more
core   +2 more sources

Unitary relation between a harmonic oscillator of time-dependent frequency and a simple harmonic oscillator with and without an inverse-square potential [PDF]

, 2000
The unitary operator which transforms a harmonic oscillator system of time-dependent frequency into that of a simple harmonic oscillator of different time-scale is found, with and without an inverse-square potential. It is shown that for both cases, this
A.N. Seleznyova, C. Degli Esposti Boschi, D. Stoler, D. Stoler, D.-Y. Song, D.-Y. Song, D.-Y. Song, D.C. Khandekar, Dae-Yup Song, F. Calogero, H.R. Lewis, H.R. Lewis, Jr., H.R. Lewis, Jr., H.R. Lewis, Jr., I.A. Pedrosa, I.A. Pedrosa, J.-Y. Ji, J.G. Hartley, J.L. Reid, J.R. Klauder, J.R. Ray, K.H. Yeon, L.S. Brown, M. Maamache, R. Shankar, W.-M. Zhang, Y. Aharonov   +26 more
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Unitary relations in time-dependent harmonic oscillators [PDF]

, 1999
For a harmonic oscillator with time-dependent (positive) mass and frequency, an unitary operator is shown to transform the quantum states of the system to those of a harmonic oscillator system of unit mass and time-dependent frequency, as well as ...
Caldirola P, Colegrave R K, Colegrave R K, Dae-Yup Song, Ermakov V, Feynman R P, Haar D T, Hasse R W, Husimi K, Kanai E, Kerner E H, Leach P G L, Leach P G L, Lee M-H, Lewis H R, Lewis H R, Li F-l, Maamache M, Mostafazadeh A   +18 more
core   +2 more sources

Study of charge density distributions, elastic charge form factors and root-mean square radii for 4He, 12C and 16O nuclei using Woods- Saxon and harmonic-oscillator potentials

Iraqi Journal of Physics, 2019
The nuclear charge density distributions, form factors and corresponding proton, charge, neutron, and matter root mean square radii for stable 4He, 12C, and 16O nuclei have been calculated using single-particle radial wave functions of Woods-Saxon ...
Arkan R. Ridha
doaj   +1 more source

Comparison of Harmonic Oscillator Model in Classical and Quantum Theories of Light-Matter Interaction

Foundations, 2023
A brief review of the classical and quantum description of the interaction of electromagnetic radiation with matter based on the model of a harmonic oscillator is presented.
Valery Astapenko, Timur Bergaliyev
doaj   +1 more source