Accurate calculation of resonances in multiple-well oscillators

Quantum--mechanical multiple--well oscillators exhibit curious complex eigenvalues that resemble resonances in models with continuum spectra. We discuss a method for the accurate calculation of their real and imaginary parts

Is there a prescribed parameter's space for the adiabatic geometric phase?

The Aharonov-Anandan and Berry phases are determined for the cyclic motions of a non-relativistic charged spinless particle evolving in the superposition of the fields produced by a Penning trap and a rotating magnetic field. Discussion about the selection of the parameter's space and the relationship between the Berry phase and the symmetry of the binding potential is given.Comment: 7 pages, 2 figure

Natural and laser-induced cavitation in corn stems: On the mechanisms of acoustic emissions

Water in plant xylem is often superheated, and therefore in a meta-stable state. Under certain conditions, it may suddenly turn from the liquid to the vapor state. This cavitation process produces acoustic emissions. We report the measurement of ultrasonic acoustic emissions (UAE) produced by natural and induced cavitation in corn stems. We induced cavitation and UAE in vivo, in well controlled and reproducible experiments, by irradiating the bare stem of the plants with a continuous-wave laser beam. By tracing the source of UAE, we were able to detect absorption and frequency filtering of the UAE propagating through the stem. This technique allows the unique possibility of studying localized embolism of plant conduits, and thus to test hypotheses on the hydraulic architecture of plants. Based on our results, we postulate that the source of UAE is a transient "cavity oscillation" triggered by the disruptive effect of cavitation inception.Comment: 8 pages, 5 figure

Estimates for the Sobolev trace constant with critical exponent and applications

In this paper we find estimates for the optimal constant in the critical Sobolev trace inequality S\|u\|^p_{L^{p_*}(\partial\Omega) \hookrightarrow \|u\|^p_{W^{1,p}(\Omega)} that are independent of $\Omega$. This estimates generalized those of [3] for general $p$. Here $p_* := p(N-1)/(N-p)$ is the critical exponent for the immersion and $N$ is the space dimension. Then we apply our results first to prove existence of positive solutions to a nonlinear elliptic problem with a nonlinear boundary condition with critical growth on the boundary, generalizing the results of [16]. Finally, we study an optimal design problem with critical exponent.Comment: 22 pages, submitte

Wronskian formula for confluent second-order supersymmetric quantum mechanics

The confluent second-order supersymmetric quantum mechanics, for which the factorization energies tend to a single value, is studied. We show that the Wronskian formula remains valid if generalized eigenfunctions are taken as seed solutions. The confluent algorithm is used to generate SUSY partners of the Coulomb potential.Comment: 7 pages, 1 figure, to be published in Physics Letters

Limitations on Jurisdiction and Arbitration Agreements Based on Applicable Law and the Identity of the Carrier in Cargo Claim Disputes

The article demonstrates through an analysis of the limitations on choice of forum or arbitration agreements following the invalidity of a choice of law clause included in a charter party and/or a bill of lading (B/L). It is equally difficult enforcing a jurisdiction or arbitration clause included in a B/L if the parties are not clearly defined in the contract for the carrige of goods by sea. The article delivers some conclusions and suggests the approach to be taken by maritime contracting parties to overcome any feasible invalidity of a choice of forum or arbitration agreement based on the choice of law by European Member (EU) States’ courts

Jurisdiction and Applicable Law to Claims Related to the Payment of Contributions to the Budget of an Association of Property Owners for the Maintenance of the Communal Areas of a Building

This comment on the judgment C-25/18 analyses the characterisation of the outstanding amounts payable by the owners of an apartment to the manager of the association of owners of the building in concept of maintenance costs of communal areas. The Court of Justice of the European Union identifies the court having jurisdiction according to Article 7(1)(a) (matters related to contract) of the Brussels I Recast Regulation and the applicable law according to Articles 4(1)(b) (provision of services). However, Article 4(1)(c) (rights in rem in immovable property) of the Rome I Regulation is not applicable

Jurisdiction and Applicable Law to Contracts for the Sale of Goods and the Provision of Services including the Carriage of Goods by Sea and other Means of Transport in the European Union

The article analyses the jurisdiction and applicable law to contracts for the sale of godos and the provision of services in the European Union. It particularly focuses on contracts that subsume different categories of contracts, such as the carriage of goods by sea, in a contract for the sale of godos and the provision of services. The European Union law and the interpretation provided by the Court of Justice of the European Union shed light into the place of performance of the contract in order to set jurisdiction for national courts. This is explained through the current legal framework and the case law in order to ascertain where and under what legal regime the claimant may start proceedings for the breach of a contractual obligation or in case of a non-contractual claim