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A unique account of the subject, this book provides a complete, self-contained description of research on the stability of matter problem. It introduces the necessary quantum mechanics to mathematicians, and aspects of functional analysis to physi-cists.
The current theories of stellar structure and stellar evolution derive their successes largely from the fact that the following combination of the dimensions of a mass provides a correct measure of stellar masses: where G is the constant of gravitation and H is the mass of the hydrogen atom.
The mathematical proof that quantum mechanics gives rise to the observed stability is not easy because of the strong electric forces among the elementary constituents (electrons and nuclei) of...
The analysis given in Part IV can be applied to the general case of A^ electrons, k nuclei with charges Z and locations R, and with the full potential energy IV{X_) in (1.4). The goal is to prove stability of the second kind: E{N, k, Z_) > -A{z){N + k) for. a suitable z-dependent constant A{z), cf. (2.14).
8 Οκτ 2024 · To investigate the physical viability of the hybrid star model, we present the graphical behavior of the energy density, radial pressure, and tangential pressure, equation of state parameters, anisotropy, and stability analysis, respectively, by choosing the compact star EXO 1785-248 with a mass of $1.3_{-0.2}^{+0.2}~M_{\odot}$ and radius $8. ...
This fourth edition of selecta of my work on the stability of matter contains recent work on two topics that continue to fascinate me: Quantum electrodynamics (QED) and the Bose gas.
The stability of matter composed of electrons and static nuclei is investigated for a relativistic dynamics for the electrons given by a suitably projected Dirac operator and with Coulomb … Expand
