Stability of Matter

  • W. Thirring
Conference paper
Part of the Few-Body Systems book series (FEWBODY, volume 15/1976)


One of the fundamental properties of real matter is that its energy is an extensive quantity because the chemical forces are saturating. This ought to be a consequence of nonrelativistic quantum mechanics where a system composed of electrons and nuclei is described by a Hamiltonian
$$ H_N = \sum\limits_{i = 1}^N {\frac{{p_i^2 }} {{2m_i }} + \sum\limits_{i > j} {\left( {e_i e_j - km_i m_j } \right)\left| {x_i - x_j } \right|^{ - 1} } } $$
(Notation: (xi, pi, mi; ei)are position,momentum, mass and charge of the ith particle, N is their total number, κ the gravitational constant.


Ground State Energy Negative Eigenvalue Coulomb Repulsion Schrodinger Equation Neutral System 


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Copyright information

© Springer-Verlag 1976

Authors and Affiliations

  • W. Thirring
    • 1
  1. 1.Institut für Theor. PhysikUniversität GrazAustria

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