General local and rectilinear vibrational coordinates consistent with Eckart's conditions

We present a general method to construct a set of local rectilinear vibrational coordinates for a nonlinear molecule whose reference structure does not necessarily correspond to a stationary point of the potential-energy surface. We show both analytically and with a numerical example that the vibrational coordinates satisfy Eckart's conditions. In addition, we find that the Watson Hamiltonian provides a fairly robust description even of highly excited vibrational states of triatomic molecules, except for a few states of large amplitude motion sampling the singular region of the Hamiltonian. These states can be identified through slow convergence.

Failure of Local Realism Revealed by Extremely-Coarse-Grained Measurements

We show that failure of local realism can be revealed to observers for whom only extremely-coarse-grained measurements are available. In our instances, Bell's inequality is violated even up to the maximum limit while both the local measurements and the initial local states under scrutiny approach the classical limit. Furthermore, we can observe failure of local realism when an inequality enforced by nonlocal realistic theories is satisfied. This suggests that locality alone may be violated while realism cannot be excluded for specific observables and states. Small-scale experimental demonstration of our examples may be possible in the foreseeable future.

Sonic Geography, Place and Race in the Formation of Local Identity: Liverpool and Scousers

The concept of identity has attracted significant academic attention. This article unpacks what constitutes the Scouse identity, how it is constructed and its different dimensions, with particular reference to place, phonology and race. Its novelty lies in developing the underused concept of “sonic geography” to examine the extent to which sound, for example a distinctive accent and/or dialect, affects the construction of local identity. Empirically this is conducted through a detailed analysis of the Scouse, or Liverpudlian, identity. The article also deploys the concept of “sonic exclusion” to examine the role a distinguishing vernacular plays in shaping local identity and the extent to which it determines “who is in” and “who is out” as a Scouser. The conclusion is that an effective understanding of a Scouser is not only spatial – someone born in Liverpool – because the sonoric landscape of spoken Scouse, and thereby Scouse identity, extends beyond the contemporary political and geographic boundaries of the City of Liverpool.