Found 999 Documents (Results 1–100)
Reducibility of 1-D quantum harmonic oscillator with new unbounded oscillatory perturbations. (English) Zbl 07920500
Quantum gravity inspired nonlocal quantum dynamics preserving the classical limit. (English) Zbl 07918187
MSC:
83C45
Relationship between Lennard-Jones potential and physico-chemical parameters. (English) Zbl 07887319
Reducibility of the linear quantum harmonic oscillators under quasi-periodic reversible perturbation. (English) Zbl 07881039
A weakly turbulent solution to the cubic nonlinear harmonic oscillator on \(\mathbb{R}^2\) perturbed by a real smooth potential decaying to zero at infinity. (English) Zbl 1541.35451
Quantum gates based on two strongly coupled harmonic oscillators in thermal non-equilibrium conditions. (English) Zbl 07845822
MSC:
82-XX
Integrability of \(\Phi^4\) matrix model as \(N\)-body harmonic oscillator system. (English) Zbl 07837885
A generalization of the canonical commutation relation and Heisenberg uncertainty principle for the orbital operators. (English) Zbl 1535.81150
On the even-indexed eigenfunctions of the quantum harmonic oscillator. (English) Zbl 07772653
MSC:
33C20
Gravitational decoherence by the apparatus in the quantum-gravity-induced entanglement of masses. (English) Zbl 1532.83032
The quantum harmonic oscillator with icosahedral symmetry and some explicit wavefunctions. (English) Zbl 1531.81108
Decoherence quantification through commutation relations decay for open quantum harmonic oscillators. (English) Zbl 1528.81179
On the spectral zeta function of second order semiregular non-commutative harmonic oscillators. (English) Zbl 1533.11163
The Lund model. Reprint of the 1998 edition. (English) Zbl 1517.81005
Cambridge Monographs on Particle Physics, Nuclear Physics, and Cosmology 7. Cambridge: Cambridge University Press (ISBN 978-1-00-940125-8/hbk; 978-1-00-940128-9/pbk; 978-1-00-940129-6/ebook). xii, 471 p., open access (2023).
Effects of the Lorentz symmetry violation caused by the coupling between the vector field \(f^\mu\gamma^5\) and the derivative of the fermionic field on the modified Pöschl-Teller, Woods-Saxon and harmonic oscillator potentials. (English) Zbl 1529.81039
Spectral multiplier theorems for abstract harmonic oscillators on UMD lattices. (English) Zbl 07714227
An alternative method to obtain analytical solutions of the time-independent Schrödinger equation. (English) Zbl 1515.97013
MSC:
97M50
Scaling asymptotics of Wigner distributions of harmonic oscillator orbital coherent states. (English) Zbl 1515.81164
MSC:
81S30
Optimal bounds in normal approximation for many interacting worlds. (English) Zbl 1521.60011
Reviewer: Peter Kern (Düsseldorf)
Entropy of quantum systems with linear dissipation. (English. Russian original) Zbl 1521.81017
Russ. Phys. J. 65, No. 10, 1706-1715 (2023); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 65, No. 10, 90-97 (2022).
Eisenhart lift of Koopman-von Neumann mechanics. (English) Zbl 07654852
Reviewer: Bijan Kumar Bagchi (Kolkata)
The bound-state solutions of the one-dimensional pseudoharmonic oscillator. (English) Zbl 1518.81043
On the exactly-solvable semi-infinite quantum well of the non-rectangular step-harmonic profile. (English) Zbl 07899047
MSC:
81-XX
Axially-deformed solution of the Skyrme-Hartree-Fock-Bogoliubov equations using the transformed harmonic oscillator basis (IV) hfbtho (v4.0): a new version of the program. (English) Zbl 1538.82091
Variational approach to the Schrödinger equation with a delta-function potential. (English) Zbl 1521.81066
Density operator formulation for a supersymmetric harmonic oscillator: vector coherent state construction and statistical properties. (English) Zbl 07633039
Anti- \(\mathcal{PT}\)-symmetric harmonic oscillator and its relation to the inverted harmonic oscillator. (English) Zbl 07633038
Asymptotic representation of projector kernel for 2D harmonic oscillator in a strip. (Russian. English summary) Zbl 1516.81076
Superpositions of coherent states determined by Gauss sums. (English. Russian original) Zbl 1516.81128
Theor. Math. Phys. 212, No. 3, 1237-1245 (2022); translation from Teor. Mat. Fiz. 212, No. 3, 403-413 (2022).
Spatial groups and cyclic oscillations induced by positive correlation between moving direction and phase of mobile oscillators. (English) Zbl 1514.81131
Dynamics of entanglement in coherent states, entangled Schrödinger cat state and distribution function. (English) Zbl 1511.81013
Quantum harmonic oscillator model for fine-grained expressway traffic volume simulation considering individual heterogeneity. (English) Zbl 07592474
MSC:
82-XX
Reducibility of 1D quantum harmonic oscillator with decaying conditions on the derivative of perturbation potentials. (English) Zbl 1505.37087
Approximate analytic solution of the Logunov-Tavkhelidze equation for a one-dimensional oscillator potential in the relativistic configuration representation. (English. Russian original) Zbl 1515.81090
Theor. Math. Phys. 211, No. 3, 826-837 (2022); translation from Teor. Mat. Fiz. 211, No. 3, 455-468 (2022).
Direct coupling coherent quantum observers with discounted mean square performance criteria and penalized back-action. (English) Zbl 1513.81076
Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature. (English) Zbl 1502.81041
Angular momentum eigenstates of the isotropic 3-D harmonic oscillator: phase-space distributions and coalescence probabilities. (English) Zbl 1500.81056
Complex-valued classical behavior from the correspondence limit of quantum mechanics with two boundary conditions. (English) Zbl 1498.81010
Deformed ladder operators for the generalized one- and two-mode squeezed harmonic oscillator in the presence of a minimal length. (English. Russian original) Zbl 1515.81102
Theor. Math. Phys. 211, No. 1, 532-544 (2022); translation from Teor. Mat. Fiz. 211, No. 1, 105-120 (2022).
Growth of Sobolev norms in 1-d quantum harmonic oscillator with polynomial time quasi-periodic perturbation. (English) Zbl 1506.35186
Dynamical manifestation of chaotic behaviour in a q-Tsallis harmonic oscillator. (English) Zbl 1490.81096
A non-relativistic approach to relativistic quantum mechanics: the case of the harmonic oscillator. (English) Zbl 1492.81051
Spectrum of semiclassical Schrödinger operators for two-frequency resonance. (English) Zbl 1509.35257
On a central algorithm for calculation of the inverse of the harmonic oscillator in the spaces of orbits. (English) Zbl 1481.65080
Approximate non-relativistic s-wave energy spectra with non-polynomial potentials within the framework of the WKB approximation. (English) Zbl 07899167
MSC:
81-XX
Comment on: “Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter”. (English) Zbl 1519.81190
An oscillator with position-dependent mass exposed to a thermal bosonic bath. (English) Zbl 07482524
MSC:
82-XX
Quantum cycle in relativistic non-commutative space with generalized uncertainty principle correction. (English) Zbl 07482515
MSC:
82-XX
Equivalence of a harmonic oscillator to a free particle and Eisenhart lift. (English) Zbl 1482.81008
\(C_\lambda\)-extended oscillator algebra and \(d\)-orthogonal polynomials. (English) Zbl 1491.42040
Lévy-Schrödinger equation: their eigenvalues and eigenfunctions using sinc methods. (English) Zbl 1474.65429
Baumann, Gerd (ed.), New sinc methods of numerical analysis. Festschrift in honor of Frank Stenger’s 80th birthday. Based on the presentations at the symposium, Rhodes, Greece, September 13–18, 2018. Cham: Birkhäuser. Trends Math., 55-98 (2021).
Limiting absorption principle and radiation condition for repulsive Hamiltonians. (English) Zbl 1472.81075
Sinc methods for Lévy-Schrödinger equations. (English) Zbl 1476.34015
Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 23-56 (2021).
A new method for constructing squeezed states for the isotropic 2D harmonic oscillator. (English) Zbl 1471.81048
Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 255-263 (2021).
Change of representation and the rigged Hilbert space formalism in quantum mechanics. (English) Zbl 07371587
Reviewer: Bilender P. Allahverdiev (Isparta)
On the generalization of Moyal equation for an arbitrary linear quantization. (English) Zbl 1472.35316
Gauge transformations of a relativistic field of quantum harmonic oscillators. (English) Zbl 1527.81109
MSC:
81V10
1-d quantum harmonic oscillator with time quasi-periodic quadratic perturbation: reducibility and growth of Sobolev norms. (English. French summary) Zbl 1456.35175
Instability zones in the dynamics of a quantum mechanical quasiperiodic parametric oscillator. (English) Zbl 1466.34035
Reviewer: Petro Feketa (Kiel)
Reducibility of 1-d quantum harmonic oscillator equation with unbounded oscillation perturbations. (English) Zbl 1451.35152
Numerical simulation of quantum anharmonic oscillator, embedded within an infinite square well potential, by matrix methods using gnumeric spreadsheet. (English) Zbl 07684284
Exact solution of the position-dependent effective mass and angular frequency Schrödinger equation: harmonic oscillator model with quantized confinement parameter. (English) Zbl 1519.81186
Duality between hydrogen atom and oscillator systems via hidden \(\mathrm{SO}(d, 2)\) symmetry and 2T-physics. (English) Zbl 1514.81144
Thermal entanglement phase transition in coupled harmonic oscillators with arbitrary time-dependent frequencies. (English) Zbl 1508.81864
Dirac electron in graphene with magnetic fields arising from first-order intertwining operators. (English) Zbl 1511.82051
A quantum model of supply and demand. (English) Zbl 07572436
MSC:
82-XX
Exergy-based ecological optimization of an irreversible quantum Carnot heat pump with harmonic oscillators. (English) Zbl 07571780
MSC:
82-XX
Rogue quantum harmonic oscillations. (English) Zbl 07530179
MSC:
82-XX
Eigenvalues of the liouvillians of quantum master equation for a harmonic oscillator. (English) Zbl 07529555
MSC:
82-XX
Power and efficiency optimization of an irreversible quantum Carnot heat engine working with harmonic oscillators. (English) Zbl 07526348
MSC:
82-XX
Schrödinger trace invariants for homogeneous perturbations of the harmonic oscillator. (English) Zbl 1476.35213
Reviewer: Joseph Shomberg (Providence)
\(L^\infty \)-BMO bounds for pseudo-multipliers associated with the harmonic oscillator. (English) Zbl 1466.81017
Quantum harmonic oscillator and Schrodinger paradox based nonlinear confusion component. (English) Zbl 1513.81039
MSC:
81P94
Airy functions and transition between semiclassical and harmonic oscillator approximations for one-dimensional bound states. (English. Russian original) Zbl 1453.81024
Theor. Math. Phys. 204, No. 2, 984-992 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 171-180 (2020).
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