Numerical evidence for higher order Stark-type conjectures

Stark ’ s Conjectures

Higher-order resonances in a Stark decelerator

Higher-Order Stark Spectroscopy: Polarizability of Photosynthetic Pigments

Stark spectra for nonoriented molecules with typical broad inhomogeneous line widths are obtained by applying an ac electric field and detecting the change in absorbance at the second harmonic of the field modulation frequency. The analysis of such data in terms of molecular parameters such as changes in dipole moment and polarizability is often difficult. We outline a new method, called higher...

Higher-order Stark effect on an excited helium atom

Degenerate perturbation theory is used to study dipole susceptibilities of an excited helium atom in an external electric field. The dependence of the perturbed energy of levels in atoms on fine-structure effects and on the higher-order Stark effect is investigated. Numerical results have been obtained for the (1s3p) P0 and (1s3p) P2 states of helium. The magnitude of the electric field and the...

Stark Conjectures for Cm Curves over Number Fields

In [1], Bloch constructs symbols in K2(E) for a CM elliptic curve E defined over Q, corresponding to divisors supported on torsion points of the curve. This construction, and the special properties of such curves, allowed him to prove the Beilinson conjecture for such curves. In [2], Deninger extends Bloch’s results, for certain elliptic curves ‘of Shimura type ’or ‘type (S) ’. For simplicity a...