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Electroweak quantum numbers in the $$D_4$$ D 4 root system
Published 2025-01-01“…Abstract We introduce four fundamental quantum numbers based on the $$D_4$$ D 4 root system, giving a unified description of quarks and leptons. …”
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Evaluation of Self-Friction Three-Center Nuclear Attraction Integrals with Integer and Noninteger Principal Quantum Numbers n over Slater Type Orbitals
Published 2017-01-01“…The accuracy of obtained formulas is satisfactory for arbitrary integer and noninteger principal quantum numbers.…”
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İki Elektronlu Atomik Sistemler için Baş kuantum Sayısı Kesir Değerli Bessel Tipli Orbitaller
Published 2023-06-01Subjects: “…nonintegral principal quantum number…”
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Comment on “Neutrino interaction with matter in a noninertial frame”
Published 2025-01-01“…Abstract In this comment, we obtain the complete energy levels for Dvornikov’s paper [1], that is, the energy levels dependent on two quantum numbers, namely, the radial quantum number (given by N) and the angular quantum number (given by J z ). …”
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Short-hair black holes and the strong cosmic censorship conjecture
Published 2024-12-01“…However, as the order $$ k $$ k of the metric equation and the angular quantum number $$ \ell $$ ℓ increase, the violation of SCCC is delayed. …”
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Scattering and Bound State Solutions of the Yukawa Potential within the Dirac Equation
Published 2014-01-01“…In the presence of spin symmetry case, we obtain bound and scattering states solutions of the Dirac equation for the equal scalar and vector Yukawa potentials for any spin-orbit quantum number κ. The approximate analytical solutions are presented for the bound and scattering states and scattering phase shifts.…”
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Dirac Equation under Scalar, Vector, and Tensor Cornell Interactions
Published 2012-01-01“…Spin and pseudospin symmetries of Dirac equation are solved under scalar, vector, and tensor interactions for arbitrary quantum number via the analytical ansatz approach. The spectrum of the system is numerically reported for typical values of the potential parameters.…”
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The Information-Theoretic Treatment of Spinless Particles with the Assorted Diatomic Molecular Potential
Published 2022-01-01“…The impacts of these entropies on the angular momentum quantum number are explored in detail.…”
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Spin and Pseudospin Symmetries with Trigonometric Pöschl-Teller Potential including Tensor Coupling
Published 2013-01-01“…We study approximate analytical solutions of the Dirac equation with the trigonometric Pöschl-Teller (tPT) potential and a Coulomb-like tensor potential for arbitrary spin-orbit quantum number κ under the presence of exact spin and pseudospin ( p -spin) symmetries. …”
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Relativistic Energies and Scattering Phase Shifts for the Fermionic Particles Scattered by Hyperbolical Potential with the Pseudo(spin) Symmetry
Published 2017-01-01“…Our results reveal that both the symmetry constants (Cps and Cs) and the spin-orbit quantum number κ affect scattering phase shifts significantly.…”
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11
Dynamical Electroweak Symmetry Breaking with a Heavy Fermion in Light of Recent LHC Results
Published 2013-01-01“…This paper presents a minireview of one possible scenario: the formation of a fermion-antifermion condensate coming from a very heavy fourth generation, carrying the quantum number of the SM Higgs field, and thus breaking the electroweak symmetry.…”
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Simulating Chemistry with Fermionic Optical Superlattices
Published 2025-01-01“…We show that quantum-number-preserving ansatzes for variational optimization in quantum chemistry find an elegant mapping to ultracold fermions in optical superlattices. …”
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Exact Solutions of a Spatially Dependent Mass Dirac Equation for Coulomb Field plus Tensor Interaction via Laplace Transformation Method
Published 2012-01-01“…Closed forms of the energy eigenvalue equation and wave functions are obtained for arbitrary spin-orbit quantum number κ . …”
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14
Spherical Harmonics Ylm(θ,ϕ): Positive and Negative Integer Representations of su(1,1) for l-m and l+m
Published 2016-01-01“…The azimuthal quantum number l allocates to itself an additional ladder symmetry by the operators which are written in terms of l. …”
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15
Revisiting Angular Momentum Quantization in Bohr's Atomic Model
Published 2022-03-01“…In our approach here we show that when we identify the number of photons and the quantum number for the orbit, we are led to Bohr's hypothesis as a consequence of the Planck's energy quantization. …”
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Primary quantum thermometry of mm-wave blackbody radiation via induced state transfer in Rydberg states of cold atoms
Published 2025-01-01“…We use selective field ionization readout of Rydberg states with principal quantum number n∼30 in ^{85}Rb and substantiate our ionization signal with a theoretical model. …”
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17
Approximate Solutions, Thermal Properties, and Superstatistics Solutions to Schrödinger Equation
Published 2022-01-01“…In this work, we apply the parametric Nikiforov-Uvarov method to obtain eigensolutions and total normalized wave function of Schrödinger equation expressed in terms of Jacobi polynomial using Coulomb plus Screened Exponential Hyperbolic Potential (CPSEHP), where we obtained the probability density plots for the proposed potential for various orbital angular quantum number, as well as some special cases (Hellmann and Yukawa potential). …”
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Bottom-up fabrication of 2D Rydberg exciton arrays in cuprous oxide
Published 2025-01-01“…We observed Rydberg excitons up to the principal quantum number n = 5 within these Cu2O arrays on a quartz substrate and analyzed the spatial variation of their spectrum across the array, showing robustness and reproducibility on a large chip. …”
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The Visualization of the Space Probability Distribution for a Moving Particle: In a Single Ring-Shaped Coulomb Potential
Published 2017-01-01“…We illustrate the two-dimensional (contour) and three-dimensional (isosurface) visualizations for those specifically given quantum numbers (n, l, m) essentially related to those so-called quasi-quantum numbers (n′, l′, m′) through changing the single ring-shaped Coulomb potential parameter b. …”
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Production of possible ΣcΣ¯c molecular states in nucleon-antinucleon collision
Published 2025-02-01“…Both isoscalar and isovector bound states with quantum numbers JPC=0−+ and 1−− are generated from the ΣcΣ¯c interaction, which is modeled through the exchange of light mesons. …”
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