yields the simple solution that Earth itself acts as a point particle with all its mass concentrated at the centre. In modern physics, Dirac predicted the existence of the then-unknown positive electron (or positron) by finding an equation for the electron that would combine quantum mechanics and...
Neural wavefunctions have become a highly accurate approach to solve the Schrödinger equation. Here, the authors propose an approach to optimize for a generalized wavefunction across compounds, which can help developing a foundation wavefunction model. Michael Scherbela , Leon Gerard & Philipp Grohs...
Diosi, L. A universal master equation for the gravitational violation of quantum mechanics. Phys. Lett. A 120, 377–381 (1987). ADS MathSciNet Google Scholar Arzano, M., D’Esposito, V. & Gubitosi, G. Fundamental decoherence from quantum spacetime. Commun. Phys. 6, 242 (2023). Goog...
Brzeźniak, Z., Rana, N.: Low regularity solutions to the stochastic geometric wave equation driven by a fractional Brownian sheet. arXiv:2006.07740 (2020) Burq, N., Tzvetkov, N.: Random data Cauchy theory for supercritical wave equations. I. Local theory. Invent. Math. 173(3), 449–...
Consider the general stochastic partial differential equation given by where the meaning of the symbols is identical to Eq. (9) and is a d-dimensional random vector having sample space Ω. We now aim to solve the PCE Numerical algorithms In this section, we present computationally efficient ...
This equation effectively gives an alternate definition of temperature that agrees with the usual definition. Assume that there are two heat reservoirs R1 and R2 at temperatures T1 and T2 (such as the stove and the block of ice). If an amount of heat Q flows from R1 to R2, then the ...
\(\mathbf{E \cdot B}\) is also the source term in the helicity evolution equation (Berger 1984; Berger and Field 1984) and we suggest that the rotational flows in 3D reconnection are a signature of the helicity production or decay. An exception occurs for 2D reconnection, however, because...
Conditions that reduce the exact equation to the phenomenological equation are identified and their significance discussed.doi:10.1002/1521-3986(200103)41:2/33.0.CO;2-KM. H. LeeJ. KimJohn Wiley & Sons, Ltd.Contributions to Plasma ... MH Lee,J Kim - 《Contributions to Plasma Physics》 被引...
d Surface tension obtained using the Young-Laplace equation (Eq. (2)). The number of condensates analysed is n = 11 for CRY-ADF3-CRY, n = 9 for CBM-ADF3-CBM, n = 8 for FN-ADF3-FN, n = 20 for SC2-ADF3-SC2 and n = 17 for CBM-AQ12-CBM. e ...
Sinceuis the solution of the forward problem, it is clear that the forward equation must be solved before the adjoint equation, which, however, remains strictly linear. A useful interpretation of the adjoint equation is that it solves the original PDE but with the mismatch between observations an...