This article provides an overview of the basic principles of the physics of quantum halo
systems, defined as bound states of clusters of particles with a radius extending well into …

WKB wave functions are expected to be accurate approximations of exact quantum
mechanical wave functions mainly near the semiclassical limit of the quantum mechanical …

Publisher Summary This chapter discusses the formation of ultracold molecules—that is, at
temperatures well below 1 mK, the photoassociation scheme in a sample of laser-cooled …

This book expounds three special kinds of matrices that are of physical interest, centering on
physical examples. Stochastic matrices describe dynamical systems of many different types …

We present a general formulation of the quantum-defect theory for systems with an attractive
1/r α type of asymptotic potentials with α> 2. Its structural differences from the standard …

Although contact geometry and topology is briefly discussed in VI Arnol'd's book
“Mathematical Methods of Classical Mechanics”(Springer-Verlag, 1989, 2nd edition), it still …

We show that the highly excited rovibrational spectra of a diatomic molecule and the closely
related slow atomic collision processes contain more systematics and require less …

We present analytic descriptions of atomic interaction at ultracold temperatures using both
single-channel and multichannel quantum-defect theories. In the case of a single channel …

The interaction between two distant atoms has been first studied by van der Waals and
London for review see Ref. 1. This topic is often discussed as a limiting case between the …

Several myths about quantum mechanics exist due to a loss of awareness of its details since
its inception in the beginning of the last century or based on recent experimental evidence. It …