Results 41 to 50 of about 1,518 (208)
The Virial Theorem As An Entail For Koopmans' Theorem In Atomic Calculations
, 2015 The "frozen" approximation in the Koopmans' theorem suggests that the virial theorem is not obeyed. By imposing the virial theorem to Koopmans' theorem, we observe that the ionization potential of an atomic orbital is directly related to the respective ...
Custodio R., CUSTODIO, R
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COMPARISON OF OPTICAL AND X-RAY MASS ESTIMATES OF THE CHANDRA GALAXY CLUSTERS AT Z < 0.1
Odessa Astronomical Publications, 2013 We used the optical data taken from SDSS DR7 galaxy and group catalog to determine the optical mass of 37 nearer Chandra galaxy clusters for comparison with the X-ray mass estimates.
Iu. V. Babyk, I. B. Vavilova
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Virial theorem and hypervirial theorem in a spherical geometry [PDF]
Journal of Physics A: Mathematical and Theoretical, 2011 The Virial Theorem in the one- and two-dimensional spherical geometry are presented, in both classical and quantum mechanics. Choosing a special class of Hypervirial operators, the quantum Hypervirial relations in the spherical spaces are obtained.
Li, Yan, Zhang, Fu-Lin, Chen, Jing-Ling
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GPUMDkit: A User‐Friendly Toolkit for GPUMD and NEP
Materials Genome Engineering Advances, Volume 4, Issue 2, June 2026.GPUMDkit is a comprehensive and user‐friendly toolkit for GPUMD and NEP programs, integrating format conversion, structure sampling, property calculation, and visualization into a unified interface, substantially lowering the barrier to entry for machine‐learning molecular dynamics simulations with GPUMD and NEP.
Zihan Yan +22 more
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Virial Theorem for a Molecule [PDF]
, 1972 The usual virial theorem, relating kinetic and potential energy, is extended to a molecule by the use of the true wave function. The virial theorem is also obtained for a molecule from a trial wave function which is scaled separately for electronic and ...
Ranade, Manjula A.
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Edgewise Bending Strain in Helical Coils With Geodesic Windings Based on Virial Theorem
, 2016 0000-0003-1134-4389Distributions of edgewise bending strain in helical coils with the geodesic winding based on virial theorem are analyzed theoretically and numerically.
Tsuji-Iio, Shunji +7 more
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Canonical Approaches to Applications of the Virial Theorem [PDF]
, 2016 Canonical approaches are applied for investigation of the extraordinarily accurate electronic ground state potentials of H2(+), H2, HeH(+), and LiH using the virial theorem.
Bevan, John W +3 more
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From momentum expansions to post-Minkowskian Hamiltonians by computer algebra algorithms
Physics Letters B, 2020 The post-Newtonian and post-Minkowskian solutions for the motion of binary mass systems in gravity can be derived in terms of momentum expansions within effective field theory approaches. In the post-Minkowskian approach the expansion is performed in the
J. Blümlein +4 more
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The Virial Theorem for Retarded Gravity
International Journal of Modern Physics D, 2023 The general theory of relativity (GR) is symmetric under smooth coordinate transformations also known as diffeomorphisms. The general coordinate transformation group has a linear subgroup denoted the Lorentz group of symmetry which is maintained also in the weak field approximation to GR.
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Stability of KdV Solitons on the Half‐Line: A Study for Nonhomogeneous Boundary Conditions
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT We study the orbital stability and asymptotic stability problems for KdV solitons on the right half‐line for nonhomogeneous boundary conditions in the energy space H1(R+)$H^1(\mathbb {R}^+)$. This paper improves the results of Cavalcante and Muñoz [Revista Matemática Iberoamericana 35, no. 6 (2019); and SIAM Journal on Mathematical Analysis 55,
Luccas Campos +2 more
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