Found 38 Documents (Results 1–38)
Fractional Schrödinger equation for heterogeneous media and Lévy like distributions. (English) Zbl 1507.35325
Subordination principle and Feynman-Kac formulae for generalized time-fractional evolution equations. (English) Zbl 1509.47064
Influences of Lorentz symmetry violation on charged Dirac fermions in cosmic dislocation space-time. (English) Zbl 1500.83045
Fractional Schrödinger equation and anomalous relaxation: nonlocal terms and delta potentials. (English) Zbl 1467.81006
Equilibrium and non-equilibrium statistical mechanics with generalized fractal derivatives: a review. (English) Zbl 1467.82001
Comb-like geometric constraints leading to emergence of the time-fractional Schrödinger equation. (English) Zbl 1467.81038
The time-dependent Schrödinger equation in non-integer dimensions for constrained quantum motion. (English) Zbl 1448.81311
Scattering from a PEC strip buried in non-integer dimensional planar grounded dielectric slab by using Kobayashi potential method. (English) Zbl 1478.78041
Constrained quantum motion in \(\delta\)-potential and application of a generalized integral operator. (English) Zbl 1442.81025
Point-like perturbed fractional Laplacians through shrinking potentials of finite range. (English) Zbl 1507.35327
The time-dependent Schrödinger equation in three dimensions under geometric constraints. (English) Zbl 1414.81097
Fraction-dimensional accessible solitons in a parity-time symmetric potential. (English) Zbl 1543.78011
Time in quantum mechanics and the local non-conservation of the probability current. (English) Zbl 1404.81098
Fractional powers and singular perturbations of quantum differential Hamiltonians. (English) Zbl 1396.81091
A note on the equivalence of fractional relaxation equations to differential equations with varying coefficients. (English) Zbl 1499.34071
Generalized time-dependent Schrödinger equation in two dimensions under constraints. (English) Zbl 1380.81112
Radiative transport equation for the Mittag-Leffler path length distribution. (English) Zbl 1364.82054
Computational solutions of the tempered fractional wave-diffusion equation. (English) Zbl 1366.35220
Effective potential from the generalized time-dependent Schrödinger equation. (English) Zbl 1369.35077
Space-time fractional Schrödinger equation with composite time fractional derivative. (English) Zbl 1331.35366
Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel. (English) Zbl 1338.60199
Vector calculus in non-integer dimensional space and its applications to fractal media. (English) Zbl 1308.82003
Harmonic and anharmonic quantum-mechanical oscillators in noninteger dimensions. (English) Zbl 1396.81106
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