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Contributions to Plasma Physics, Volume 66, Issue 7-8, September 2026.ABSTRACT The properties of plasmas in the low‐density limit are described by virial expansions. Analytical expressions are known for the lowest virial coefficients from Green's function approaches. Recently, accurate path‐integral Monte Carlo (PIMC) simulations were performed for the hydrogen plasma at low densities by Filinov and Bonitz (Phys. Rev.
Gerd Röpke +3 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.
core
Generalized Beth–Uhlenbeck Entropy Formula From the Φ‐Derivable Approach
Contributions to Plasma Physics, Volume 66, Issue 7-8, September 2026.ABSTRACT We derive a generalized Beth–Uhlenbeck formula for the entropy of a dense fermion system with strong two‐particle correlations, including scattering states and bound states. We work within the Φ‐derivable approach to the thermodynamic potential.
David Blaschke, Gerd Röpke, Gordon Baym
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Galaxies, 2018 Spiral galaxies are spinning, internally densified objects. The Virial Theorem explains galactic rotation curves via its linkage of the rotation rate to the gravitational self-potential (Ug) and the moment of inertia of oblate spheroids.
Robert E. Criss, Anne M. Hofmeister
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ChemistryOpen, Volume 15, Issue 9, September 2026.This contribution highlights recent studies focused on mechanically interlocked molecules. By combining density functional theory‐converged wavefunctions with highly effective real‐space algorithms for visualizing and quantifying covalent bonds and noncovalent interactions, a first‐principles description of the driving forces governing molecular motion,
Costantino Zazza
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Molecular electronic virial theorem
, 1985 The partitioning of the molecular electronic energy into true one-electron quantities defined by a molecular electronic virial theorem (MEVT) is studied for a number of molecules. Since the theorem is derived for exact wavefunctions, its applicability to
Gopinathan, M. S., Ravimohan, C.
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Towards B-Spline Atomic Structure Calculations
Atoms, 2021 The paper reviews the history of B-spline methods for atomic structure calculations for bound states. It highlights various aspects of the variational method, particularly with regard to the orthogonality requirements, the iterative self-consistent ...
Charlotte Froese Fischer
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International Journal of Quantum Chemistry, Volume 126, Issue 12, June 15, 2026.DFT (GGA) analysis reveals that the Rh‐Met metallodrug forms a stable ionic pair driven by a network of supramolecular interactions. QTAIM and IGMH insights elucidate the quantum‐mechanical nature of intra‐ and intermolecular contacts governing its self‐assembly and structural organization in the crystal. ABSTRACT A recently proposed (J. Am. Chem. Soc.
Costantino Zazza +2 more
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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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