Classical versus Quantum Structures: The Case of Pyramidal Molecules

  • C. Presilla
  • G. Jona-Lasinio
  • C. Toninelli
Conference paper
Part of the Trends in Mathematics book series (TM)


In a previous paper we proposed a model to describe a gas of pyramidal molecules interacting via dipole-dipole interactions. The interaction modifies the tunneling properties between the classical equilibrium configurations of the single molecule and, for sufficiently high pressure, the molecules become localized in these classical configurations. The model explains quantitatively the shift to zero-frequency of the inversion line observed upon increase of the pressure in a gas of ammonia or deuterated ammonia. Here we analyze further the model especially with respect to stability questions.


Electric Dipole Moment Quantum Structure Nonlinear Eigenvalue Problem Chiral State Delocalized State 


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Copyright information

© Springer Basel AG 2004

Authors and Affiliations

  • C. Presilla
    • 1
  • G. Jona-Lasinio
    • 2
  • C. Toninelli
    • 3
  1. 1.Dipartimento di FisicaUniversità di Roma “La Sapienza”RomaItaly
  2. 2.Istituto Nazionale di Fisica NucleareRomaItaly
  3. 3.Istituto Nazionale per la Fisica della MateriaUnità di Roma 1 and Center for Statistical Mechanics and ComplexityRomaItaly

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