Transition state theory for wave packet dynamics. II. Thermal decay of Bose-Einstein condensates with long-range interaction

We apply transition state theory to coupled Gaussian wave packets and calculate thermal decay rates of Bose-Einstein condensates with additional long-range interaction. The ground state of such a condensate is metastable if the contact interaction is attractive and a sufficient thermal excitation may lead to its collapse. The use of transition state theory is made possible by describing the condensate within a variational framework and locally mapping the variational parameters to classical phase space as has been demonstrated in the preceding paper [A. Junginger, J. Main, and G. Wunner, submitted to J. Phys. A]. We apply this procedure to Gaussian wave packets and present results for condensates with monopolar 1/r-interaction comparing decay rates obtained by using different numbers of coupled Gaussian trial wave functions as well as different normal form orders.Comment: 14 pages, 4 figures, submitted to J. Phys.

Transition state theory for wave packet dynamics. I. Thermal decay in metastable Schr\"odinger systems

We demonstrate the application of transition state theory to wave packet dynamics in metastable Schr\"odinger systems which are approached by means of a variational ansatz for the wave function and whose dynamics is described within the framework of a time-dependent variational principle. The application of classical transition state theory, which requires knowledge of a classical Hamilton function, is made possible by mapping the variational parameters to classical phase space coordinates and constructing an appropriate Hamiltonian in action variables. This mapping, which is performed by a normal form expansion of the equations of motion and an additional adaptation to the energy functional, as well as the requirements to the variational ansatz are discussed in detail. The applicability of the procedure is demonstrated for a cubic model potential for which we calculate thermal decay rates of a frozen Gaussian wave function. The decay rate obtained with a narrow trial wave function agrees perfectly with the results using the classical normal form of the corresponding point particle. The results with a broader trial wave function go even beyond the classical approach, i.e., they agree with those using the quantum normal form. The method presented here will be applied to Bose-Einstein condensates in the following paper [A. Junginger, M. Dorwarth, J. Main, and G. Wunner, submitted to J. Phys. A].Comment: 21 pages, 3 figures, submitted to J. Phys.

PERTANGGUNGJAWABAN ATAS PENGRUSAKAN DAN PENCEMARAN LINGKUNGAN LAUT DI LINTAS BATAS NEGARA MENURUT INSTRUMEN HUKUM INTERNASIONAL

Tujuan dilakukannya peneltian ini adalah untuk mengetahui bagaimana ketentuan hukum dalam kaitannya dengan pencemaran dan pengrusakan lingkungan laut lintas batas Negara dan bagaimana upaya negara meminta pertanggung jawaban atas pengrusakan dan pencemaran lingkungan laut di lintas batas Negara. Dengan menggunakan metode peneltian yuridis normatif, disimpulkan: 1. Indonesia mengambil tindakan tegas dalam kasus perusakan dan pencemaran lingkungan laut yang terjadi di jalur lintas batas negaranya. Dalam kasus ini Indonesia berhak mendapat kompensasi ganti kerugian dari pelaku pencemaran lingkungan laut yang terjadi wilayah perairan Indonesia, bahkan dalam ketentuan hukum internasional juga sudah diatur mengenai setiap Negara yang melakukan perbuatan melanggar aturan hukum internasional harus mendapatkan sanksi dan dapat memberikan ganti kerugian terhadap Negara yang menjadi dampak dari pencemaran lingkungan laut tersebut. Dalam kasus seperti demikian sangatlah penting untuk mendapatkan perhatian penuh dari pihak pemerintah internasional untuk segera menangani kasus tersebut agar supaya Negara yang menjadi pelaku pencemaran lingkungan laut itu langsung membayar kompensasi ganti rugi kepada Negara yang menjadi korban pencemaran lingkungan lautnya. 2. Upaya Negara Indonesia dalam meminta pertanggungjawaban atas perusakan dan pencemaran lingkungan laut di wilayah yurisdiksi Negara Indonesia adalah dengan cara melakukan pengajuan kepada pemerintah internasional dalam hal ini melalui pengadilan internasional yang menangani kasus atas perusakan dan pencemaran lingkungan laut di lintas batas Negara. Indonesia mempunyai kewenangan sebagai Negara pantai untuk dapat mengajukan ganti rugi kepada Negara pelaku pencemaran itu menurut hukum nasionalnya. Agar supaya dalam kasus ini benar-benar pihak merupakan pelaku pencemar dapat mematuhi setiap prosedur yang berlaku baik dalam hukum internasional maupun hukum nasional di wilayah yurisdiksi negara yang menjadi korban pencemaran tersebut.Kata kunci: Pertanggungjawaban, Pengrusakan dan Pencemaran, Lingkungan Laut,  Lintas Batas Negara, Instrument Hukum Internasional

Extension of the Measurement Capabilities of the Quadrupole Resonator

The Quadrupole Resonator, designed to measure the surface resistance of superconducting samples at 400 MHz has been refurbished. The accuracy of its RF-DC compensation measurement technique is tested by an independent method. It is shown that the device enables also measurements at 800 and 1200 MHz and is capable to probe the critical RF magnetic field. The electric and magnetic field configuration of the Quadrupole Resonator are dependent on the excited mode. It is shown how this can be used to distinguish between electric and magnetic losses.Comment: 6 pages, g figure

Symmetry-breaking thermally induced collapse of dipolar Bose-Einstein condensates

We investigate a Bose-Einstein condensate with additional long-range dipolar interaction in a cylindrically symmetric trap within a variational framework. Compared to the ground state of this system, little attention has as yet been payed to its unstable excited states. For thermal excitations, however, the latter is of great interest, because it forms the "activated complex" that mediates the collapse of the condensate. For a certain value of the s-wave scatting length our investigations reveal a bifurcation in the transition state, leading to the emergence of two additional and symmetry-breaking excited states. Because these are of lower energy than their symmetric counterpart, we predict the occurrence of a symmetry-breaking thermally induced collapse of dipolar condensates. We show that its occurrence crucially depends on the trap geometry and calculate the thermal decay rates of the system within leading order transition state theory with the help of a uniform rate formula near the rank-2 saddle which allows to smoothly pass the bifurcation.Comment: 6 pages, 3 figure

Міжнародний пакт «Про громадянські і політичні права»

Прийнятий і відкритий для підписання, ратифікації і приєднання резолюцією 2200 А (ХХІ) Генеральної Асамблеї ООН 16.12.1966 р. Ратифікований Україною 19.10.1973 р. Набув чинності, в тому числі й для України, 23.ІІІ.1976 р

Assessment of Involuntary PFM Contractions in Comparison with Existing Literature and IUGA/ICS Terminology Reports.

INTRODUCTION AND HYPOTHESIS Involuntary pelvic floor muscle (PFM) contractions are thought to occur during an increase in intra-abdominal pressure (IAP). Although no studies have assessed their presence in women with normal pelvic floor (PF) function, existing literature links the absence of involuntary PFM contractions to various PF dysfunctions. This study rectifies this lacuna by evaluating involuntary PFM contractions during IAP in healthy nulliparous women with no PF dysfunction, using visual observation and vaginal palpation. Results were compared with the literature and the IUGA/ICS Terminology Reports. METHODS Nulliparous (n=149) women performed three sets of three maximal coughs. Visual observation and vaginal palpation were conducted in the standing and supine positions. The women were not instructed to contract their PFMs. Occurrence rates were calculated for each assessment method and position; differences between positions were analyzed using the Chi-squared test. RESULTS Rates of occurrence of involuntary PFM contraction were low across both assessments and positions (5-17%). Significant differences were found between standing (5%) and supine (15%) positions for visual observation, but not vaginal palpation (15%, 17% respectively). Occurrence rates also differed compared with the literature and terminology reports. CONCLUSIONS Contrary to clinical expectations, rates of occurrence of involuntary PFM contraction among our cohort of nulliparous women were extremely low. Digital palpation results showed high agreement with the terminology reports, but only partial agreement was observed for the visual observation results. Our study underscores the need for more research aimed at defining normal involuntary PF functions, a review of our understanding of involuntary PFM contractions, and better standardized guidelines for involuntary PFM assessment methods

Biowaiver monographs for immediate release solid oral dosage forms: prednisolone.

Literature data relevant to the decision to allow a waiver of in vivo bioequivalence (BE) testing for the approval of immediate release (IR) solid oral dosage forms containing prednisolone are reviewed. Data on its solubility, oral absorption, and permeability are not totally conclusive, but strongly suggest a BCS Class 1 classification. Prednisolone's therapeutic indications and therapeutic index, pharmacokinetics, and the possibility of excipient interactions were also taken into consideration. Available evidence indicates that a biowaiver for IR solid oral dosage forms formulated with the excipients tabulated in this article would be unlikely to expose patients to undue risks

Biowaiver monographs for immediate release solid oral dosage forms: acetaminophen (paracetamol).

Literature data are reviewed on the properties of acetaminophen (paracetamol) related to the biopharmaceutics classification system (BCS). According to the current BCS criteria, acetaminophen is BCS Class III compound. Differences in composition seldom, if ever, have an effect on the extent of absorption. However, some studies show differences in rate of absorption between brands and formulations. In particular, sodium bicarbonate, present in some drug products, was reported to give an increase in the rate of absorption, probably caused by an effect on gastric emptying. In view of Marketing Authorizations (MAs) given in a number of countries to acetaminophen drug products with rapid onset of action, it is concluded that differences in rate of absorption were considered therapeutically not relevant by the Health Authorities. Moreover, in view of its therapeutic use, its wide therapeutic index and its uncomplicated pharmacokinetic properties, in vitro dissolution data collected according to the relevant Guidances can be safely used for declaring bioequivalence (BE) of two acetaminophen formulations. Therefore, accepting a biowaiver for immediate release (IR) acetaminophen solid oral drug products is considered scientifically justified, if the test product contains only those excipients reported in this paper in their usual amounts and the test product is rapidly dissolving, as well as the test product fulfils the criterion of similarity of dissolution profiles to the reference product