Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Jurisch, Alexander"'
Autor:
Jurisch, Alexander
Onsager and Machlup proposed a second order variational-principle in order to include inertial effects into the Langevin-equation, giving a Lagrangian with second order derivatives in time. This but violates Ostrogradysky's theorem, which proves that
Externí odkaz:
http://arxiv.org/abs/2012.08214
Autor:
Jurisch, Alexander
We straight-forwardly derive the Onsager-Machlup Lagrangian from the Fokker-Planck equation and show that friction and dissipation are a natural property of the equation of motion. We develop a method to calculate the local variance $\sigma_{2}\,b(q)
Externí odkaz:
http://arxiv.org/abs/2012.06820
Autor:
Jurisch, Alexander
It has been shown that the weak-interacting limit of the metric-skew-tensor-gravity (MSTG) can explain the anomalous rotation of galaxies without non-baryonic dark matter. We show that MSTG is related to the equilibrium-state of ordinary Brownian mot
Externí odkaz:
http://arxiv.org/abs/1912.00737
Autor:
Jurisch, Alexander
We develop a method that relates the truncated cumulant-function of the fourth order with the L\'evian cumulant-function. This gives us explicit formulas for the L\'evy-parameters, which allow a real-time analysis of the state of a random-motion. Cum
Externí odkaz:
http://arxiv.org/abs/1902.09425
Autor:
Jurisch, Alexander
We calculate eigenvalues of one-dimensional quantum-systems by the exact numerical solution of the Lippmann-Schwinger equation, analogous to the scattering problem. To illustrate our method, we treat elementary problems: the harmonic and quartic osci
Externí odkaz:
http://arxiv.org/abs/1902.01624
Autor:
Jurisch, Alexander
We discuss the effect of anomalous quantum-reflection of Bose-Einstein condensates as a screening effect, that is created by the condensate itself. We derive an effective, time-independent single-mode approach, that allows us to define different path
Externí odkaz:
http://arxiv.org/abs/1805.08074
Autor:
Jurisch, Alexander
We derive an extremal fractional Gaussian by employing the L\'evy-Khintchine theorem and L\'evian noise. With the fractional Gaussian we then generalize the Black-Scholes-Merton option-pricing formula. We obtain an easily applicable and exponentially
Externí odkaz:
http://arxiv.org/abs/1804.02689
Autor:
Jurisch, Alexander, Rost, Jan-Michael
We use the maximum information principle to include particle-interaction into the grand-canonical theory of BECs. The inclusion of the particle-interaction elucidates why thermodynamic calculations for BECs by the grand-canonical ensemble for the non
Externí odkaz:
http://arxiv.org/abs/0811.3351
Autor:
Jurisch, Alexander, Rost, Jan-Michael
We develop a quasi-analytical theory for the quantum reflection amplitude of Bose-Einstein condensates. We derive and calculate the decay-width of a Bose-Einstein condensate. A general relation between the time-dependent decay-law of the system and i
Externí odkaz:
http://arxiv.org/abs/0804.0367
Autor:
Jurisch, Alexander, Rost, Jan-Michael
We examine the properties of a quantum reflection trap when particle-interaction is included. We explore the influence of the particle-interaction on the trapping for different regimes: repulsive particle-interaction and attractive particle-interacti
Externí odkaz:
http://arxiv.org/abs/0801.2514