Survival and Nonescape Probabilities for Resonant and Nonresonant Decay

In this paper we study the time evolution of the decay process for a particle confined initially in a finite region of space, extending our analysis given recently (Phys. Rev. Lett. 74, 337 (1995)). For this purpose, we solve exactly the time-dependent Schroedinger equation for a finite-range potential. We calculate and compare two quantities: (i) the survival probability S(t), i.e., the probability that the particle is in the initial state after a time t; and (ii) the nonescape probability P(t), i.e., the probability that the particle remains confined inside the potential region after a time t. We analyze in detail the resonant and nonresonant decay. In the former case, after a very short time, S(t) and P(t) decay exponentially, but for very long times they decay as a power law, albeit with different exponents. For the nonresonant case we obtain that both quantities differ initially. However, independently of the resonant and nonresonant character of the initial state we always find a transition to the ground state of the system which indicates a process of ``loss of memory'' in the decay.Comment: 26 pages, RevTex file, figures available upon request from [email protected] (To be published in Annals of Physics

Resonance expansions in quantum mechanics

The goal of this contribution is to discuss various resonance expansions that have been proposed in the literature.Comment: 10 pages and 1 figure; presented at the Istanbul workshop on pseudo-Hermitian Hamiltonian

Response time of a normal-superconductor hybrid system under the step-like pulse bias

The response of a quantum dot coupled with one normal lead and a superconductor lead driven by a step-like pulse bias $V_L$ is studied using the non-equilibrium Green function method. In the linear pulse bias regime, the responses of the upwards and downwards bias are symmetric. In this regime the turn-on time and turn-off time are much slower than that of the normal system due to the Andreev reflection. On the other hand, for the large pulse bias $V_L$, the instantaneous current exhibits oscillatory behaviors with the frequency $\hbar\Omega =qV_L$. The turn on/off times are in (or shorter than) the scale of $1/V_L$, so they are faster for the larger bias $V_L$. In addition, the responses for the upwards and downwards bias are asymmetric at large $V_L$. The turn-on time is larger than the turn-off time but the relaxation time \cite{note1} depends only on the coupling strength $\Gamma$ and it is much smaller than the turn-on/off times for the large bias $V_L$.Comment: 8 pages, 4 figures, accepted for publication in Phys. Rev.

Estudio del efecto del tamaño en la estructura cristalina de nanopartículas de CoFe2O4

Se estudió como afecta el tamaño de nanopartículas de ferrita de cobalto en el desorden cristalino por efecto de superficie. Las nanopartículas se obtuvieron por el método de coprecipitación de sales. Para controlar el tamaño realizaron diferentes tratamientos térmicos posteriores a la síntesis. La estructura cristalina y la morfología se evaluaron por medio de Difracción de rayos-X y Microscopía Electrónica de Transmisión de Alta Resolución. Los resultados obtenidos demuestran en forma cuantitativa, cómo la variación en la relación superficie/volumen es responsable de las deformaciones presentes en las nanoestructuras.Fil: Menchaca Nal, Sandra. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Houssay. Instituto de Tecnologia En Polimeros y Nanotecnologia; ArgentinaFil: Londoño Calderon, Cesar Leandro. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Houssay. Instituto de Tecnologia En Polimeros y Nanotecnologia; ArgentinaFil: Pardo Saavedra, D. C.. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Houssay. Instituto de Tecnologías y Ciencias de la Ingeniería; ArgentinaFil: Pampillo, L. G.. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Houssay. Instituto de Tecnologías y Ciencias de la Ingeniería; ArgentinaFil: Socolovsky, Leandro Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Houssay. Instituto de Tecnologías y Ciencias de la Ingeniería; ArgentinaFil: Martinez Garcia, Ricardo. Consejo Nacional de Investigaciones Cientificas y Tecnicas. Oficina de Coordinacion Administrativa Houssay. Instituto de Tecnologia En Polimeros y Nanotecnologia; Argentin

A search for substellar members in the Praesepe and sigma Orionis clusters

(Abridged). We have conducted deep photometric searches for substellar members of the Praesepe (0.5-1 Gyr) and sigma Orionis (3 Myr) star clusters using the Sloan i' and z' filters, the 3.5-m and the 5-m Hale telescopes on the Calar Alto and Palomar Observatories, respectively. The total area surveyed was 1177 arcmin^2 (Praesepe) and 1122 arcmin^2 (sigma Orionis) down to 5-sigma detection limits of i'= 24.5 and z'= 24 mag, corresponding to masses of 50-55 M_Jup (Praesepe) and 6 M_Jup (sigma Orionis). Besides recovering previously known cluster members reported in the literature, we have identified new photometric candidates in both clusters whose masses expand the full range covered by our study. In sigma Orionis, follow-up NIR photometry has allowed us to confirm the likely cluster membership of three newly discovered planetary-mass objects. The substellar mass function of sigma Orionis, which is complete from the star-brown dwarf borderline down to 7 M_Jup, keeps rising smoothly with a slope of alpha = 0.6^{+0.5}_{-0.1}. Very interestingly, one of the faintest Praesepe candidates for which we have also obtained follow-up JHK photometry nicely fits the expected optical and infrared photometric sequence of the cluster. From its colors, we have estimated its spectral type in the L4-L6 range. If confirmed as a true Praesepe member, it would become the first L-type brown dwarf (50-60 M_Jup) identified in an intermediate-age star cluster. Our derivation of the Praesepe mass function depends strongly on the cluster age. For the youngest possible ages (500-700 Myr), our results suggest that there is a deficit of Praesepe brown dwarfs in the central regions of the cluster, while the similarity between the Praesepe and sigma Orionis mass functions increases qualitatively for models older than 800 Myr.Comment: Accepted for publication in A&A. Figures 1, 7, and 9-12 are available in jpeg forma

Cancer Survivors\u27 Self-Efficacy and Spirituality Outcomes Following a Holistic Integrative Intervention

Cancer treatments often negatively impact health-related quality of life (HR-QOL) for cancer survivors (CS), ignoring the multi-dimensional nature of the human experience of cancer and its impact on mental and spiritual domains. A holistic integrative approach was implemented on a heterogenous population of cancer survivors during the COVID epidemic with the goal of improving their overall well-being by looking beyond physical functioning. PURPOSE: To examine the relationship between spirituality and self-efficacy of cancer survivors of all types of cancer following a holistic intervention during the COVID-19 pandemic. METHODS: Subjects were recruited via network partners and self-referral. Subjects were eligible to participate if they were cancer survivors of any type at any stage of cancer treatment; subjects were ineligible to participate if they presented with any absolute contraindications to exercise testing as per ACSM guidelines. For 16 weeks, subjects were asked to participate in three 75-minute sessions of therapeutic yoga-based with loving kindness meditation per week. Psychosocial support text messages were sent daily to subjects based on their motivational state to encourage participation in these health enhancing behaviors. Data was collected through numerous channels including BlueJay Mobile Telehealth medicine application. RESULTS: A total of 29 survivors provided informed consent. The average age of the subjects was 58.9 years, 25 female survivors and 4 male survivors; 11 of the 29 self-reported as Latino/ Hispanic. The 29 subjects were survivors of the following primary cancers: breast cancer (n=21), cervical cancer (n=2), ovarian cancer (n=1), prostate cancer (n=1), sarcoma (n=1), lymphoma (n=1), thyroid cancer (n=1), or leukemia (n=1). There is a positive association between how confident a cancer survivor feels towards performing exercise in various situations and the amount of social support they receive from their family (p\u3c.001) and friends (p\u3c.001). The individual’s confidence to overcome the obstacle to exercise and their level of hope are associated with the support they receive from loved ones. CONCLUSION: The present study suggests that to improve exercise behavior in adult cancer survivors, one should incorporate social support to strengthen barriers self-efficacy to improve outcome expectations. To further understand these associations, longitudinal research is needed and should include more survivors

Irreversible Quantum Mechanics in the Neutral K-System

The neutral Kaon system is used to test the quantum theory of resonance scattering and decay phenomena. The two dimensional Lee-Oehme-Yang theory with complex Hamiltonian is obtained by truncating the complex basis vector expansion of the exact theory in Rigged Hilbert space. This can be done for K_1 and K_2 as well as for K_S and K_L, depending upon whether one chooses the (self-adjoint, semi-bounded) Hamiltonian as commuting or non-commuting with CP. As an unexpected curiosity one can show that the exact theory (without truncation) predicts long-time 2 pion decays of the neutral Kaon system even if the Hamiltonian conserves CP.Comment: 36 pages, 1 PostScript figure include