Apple Academic Press eBooks

Quantum Assessment for Atomic Stability

Mihai V. Putz

Published Mar 30, 2016• 0 citations

Abstract

Abstract ................................................................................................... 64 2.1 Introduction .................................................................................... 64 2.2 Atomic Valence Stability by Golden Ratio Imbalance................... 66 2.3 Reloading Quantum Path Integral Formalism for Chemistry ........ 68 2.4 Periodic Path Integrals ................................................................... 72 2.4.1 Survey on Matsubara Frequencies and the Quantum Periodic Paths ..................................................... 72 2.4.2 Matsubara Harmonic Partition Function ............................ 74 2.4.3 The Generalized Riemann’ Series ...................................... 78 2.4.4 Periodic Path Integral Measure .......................................... 81 2.5 Feynman-Kleinert Variational Formalism ..................................... 83 2.5.1 Feynman-Kleinert Partition Function ................................ 83 2.5.2 Feynman-Kleinert Optimum Potential ............................... 86 2.5.3 Quantum Smeared Effects and the Stability of Matter ...... 92 2.5.4 Ground State (β→∞, T→0K) Case .................................... 97 2.5.5 Excited State (β→0, T→∞) Case: Wigner Expansion ..... 101 2.6 Conclusion ................................................................................... 104 Keywords .............................................................................................. 105 References ............................................................................................. 105 Author’s Main References ........................................................... 105 Specific References ...................................................................... 106 ABSTRACT The alternative quantum mechanical description of total energy given by path integrals specialized to Feynman-Kleinert formalism, while recovering the Bohr quantification of Hydrogen atom in a great extend, yet within a more general framework in which the stability issue is solved by existing quantum fluctuation, here explicitly modeled by periodic paths and Matsubara frequencies; both ground and exited states are treated in quantum statistical perspective.

DOI: 10.1201/b21341-8

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