Spectral Analysis in Hilbert Space

  • Lawrence HorwitzEmail author
  • Yosef Strauss
Part of the Mathematical Physics Studies book series (MPST)


After some years of observed radioactivity, Gamow (Gamow (1928)) wrote down a formula in quantum mechanics that was supposed to govern the decay of the nucleus of an atom into a lighter nucleus with the emission of an alpha particle (helium atoms without their electron cloud, i.e. ionized helium). This formula, a Schrödinger equation for a stable particle of energy E, was written with a complex energy (with negative imaginary part), implying that the quantum wave function would go to zero exponentially fast in time, as was oberved for the survival probability of a radioactive nucleus.

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© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.School of Physics, Raymond and Beverly Sackler, Faculty of Exact SciencesTel Aviv UniversityRamat AvivIsrael
  2. 2.Department of PhysicsBar-Ilan UniversityRamat GanIsrael
  3. 3.Department of PhysicsAriel UniversitySamariaIsrael
  4. 4.Department of MathematicsBen-Gurion University of the NegevBeér ShevaIsrael

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