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• 1
Electronic Resource
Amsterdam : Elsevier
ISSN: 0378-4371
Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
Topics: Physics
Type of Medium: Electronic Resource
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• 2
Electronic Resource
Springer
Communications in mathematical physics 88 (1983), S. 387-397
ISSN: 1432-0916
Source: Springer Online Journal Archives 1860-2000
Topics: Mathematics , Physics
Notes: Abstract We prove that the Schrödinger operatorH=−d 2/dx 2+V(x)+F·x has purely absolutely continuous spectrum for arbitrary constant external fieldF, for a large class of potentials; this result applies to many periodic, almost periodic and random potentials and in particular to random wells of independent depth for which we prove that whenF=0, the spectrum is almost surely pure point with exponentially decaying eigenfunctions.
Type of Medium: Electronic Resource
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• 3
Electronic Resource
Springer
Communications in mathematical physics 110 (1987), S. 215-236
ISSN: 1432-0916
Source: Springer Online Journal Archives 1860-2000
Topics: Mathematics , Physics
Notes: Abstract For a class of Schrödinger operatorsH:=−(ℏ2/2m)Δ+V onL 2(ℝ n ), with potentials having minima embedded in the continuum of the spectrum and non-trapping tails, we show the existence of shape resonances exponentially close to the real axis as ℏ↘0. The resonant energies are given by a convergent perturbation expansion in powers of a parameter exhibiting the expected exponentially small behaviour for tunneling.
Type of Medium: Electronic Resource
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• 4
Electronic Resource
Springer
Communications in mathematical physics 126 (1989), S. 133-156
ISSN: 1432-0916
Source: Springer Online Journal Archives 1860-2000
Topics: Mathematics , Physics
Notes: Abstract We study the spectral properties of multiple well Schrödinger operators on ℝ n . We give in particular upper bounds on energy shifts due to tunnel effect and localization properties of wave packets. Our methods are based on Agmon type estimates for resolvents in classically forbidden regions and geometric perturbation theory. Our results are valid also for an infinite number of wells, arbitrary spectral type and in non-semi-classical regimes.
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• 5
Electronic Resource
Springer
Communications in mathematical physics 92 (1983), S. 229-245
ISSN: 1432-0916
Source: Springer Online Journal Archives 1860-2000
Topics: Mathematics , Physics
Notes: Abstract A new method to compute effects of tunneling in one-dimensional multiple well is developed. A tunneling parameter built with physical quantities is introduced to measure the splitting between eigenvalues due to tunneling. These splittings are given by convergent series in term of this tunneling parameter for a wide class of double well.
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• 6
Electronic Resource
Springer
Communications in mathematical physics 177 (1996), S. 327-347
ISSN: 1432-0916
Source: Springer Online Journal Archives 1860-2000
Topics: Mathematics , Physics
Notes: Abstract We consider Floquet Hamiltonians of the type $$K_F : = - i\partial _t + H_0 + \beta V(\omega t)$$ , whereH 0, a selfadjoint operator acting in a Hilbert space ℋ, has simple discrete spectrumE 1〈E2〈... obeying a gap condition of the type inf {n −α(E n+1−En); n=1, 2,...}〉0 for a given α〉0,t↦V(t) is 2π-periodic andr times strongly continuously differentiable as a bounded operator on ℋ, ω and β are real parameters and the periodic boundary condition is imposed in time. We show, roughly, that providedr is large enough, β small enough and ω non-resonant, then the spectrum ofK f is pure point. The method we use relies on a successive application of the adiabatic treatment due to Howland and the KAM-type iteration settled by Bellissard and extended by Combescure. Both tools are revisited, adjusted and at some points slightly simplified.
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• 7
Electronic Resource
Springer
The European physical journal 64 (1994), S. 295-300
ISSN: 1434-6052
Source: Springer Online Journal Archives 1860-2000
Topics: Physics
Notes: Abstract In this paper we present a natural and comprehensive generalisation of the standard factorial moments (F q ) analysis of a multiplicity distribution. The generalised factorial moments are defined for allq in the complex plane and, as far as the negative part of its spectrum is concerned, could be useful for the study of infrared structure of the strong interactions theory of high energy interactions (LEP multiplicity distribution under theZ 0). The QCD calculation of the Generalised Factorial Moments for negativeq is performed in the double leading log accuracy and is compared to OPAL experimental data. The role played by the infrared cut-off of the model is discussed and illustrated with a Monte Carlo calculation.
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• 8
Electronic Resource
Springer
European journal of epidemiology 7 (1991), S. 365-371
ISSN: 1573-7284
Keywords: Flood ; France ; Disaster ; Epidemiology ; Health effects ; Planning
Source: Springer Online Journal Archives 1860-2000
Topics: Medicine
Notes: Abstract On October 3, 1988, at 7:45 a.m. a flash flood occurred in the region of Nimes, France. Though the homes of 45,000 people were damaged and more than 1,100 vehicles were destroyed, only 3 severe injuries and 9 deaths were reported. A community survey was conducted to study (1) what factors might have contributed to the limited number of deaths, (2) the reactions of the population to the disaster, and (3) the health effects associated with the impact and postimpact phases of the disaster. Overall, 108 questionnaires were completed from a systematic sample of 187 households living in ground-level dwellings in two of the most seriously affected areas of the city. Only 17% of all interviewees knew that they lived in an area subject to flood. When they realized they were in danger, 93% of all persons were in their houses or other buildings, 4% were in the streets, and 3% were in cars. Fifty-six percent of the interviewees tried to get to safety. Thirty percent of the interviewees reported that they were rescued; 20% of these persons reported being saved from a direct life threat. Neighbors (40%), family members (20%), firefighters (12%), the Red Cross (10%), and military personnel (8%) conducted rescue operations. Six percent of all members of interviewed households were reportedly suffering mild injuries that, in 70% of these cases, had been sustained during the impact phase. Health problems and injuries during the postimpact phase may have been limited by the response of trained military personnel and by the distribution of boots and gloves to other responders. The limited death toll might be attributed to: (1) the disaster occurred early in the morning when people were still home (2) traffic heading into the city was stopped by flood water on some access roads, (3) the rescue operations were set up within the framework of the French disaster plan, and (4) the civilian response. No outbreaks of infectious disease were detected after the disaster.
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• 9
Electronic Resource
Springer
Letters in mathematical physics 13 (1987), S. 137-140
ISSN: 1573-0530
Source: Springer Online Journal Archives 1860-2000
Topics: Mathematics , Physics
Notes: Abstract Although it is quite obvious that an increasing amount of energy is required to remove more and more electrons from an atom, the proof of this observation seems to be a ‘remarkably difficult problem in mathematical physics’. Here, by using well-known energy bounds, we show the monotonicity of ionization energies for the simplest nontrivial system, i.e., a nucleus (with infinite mass) and three electrons, which physically corresponds to ionization in the lithium isoelectronic series via the para-channel.
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• 10
Electronic Resource
Springer
Czechoslovak journal of physics 42 (1992), S. 344-344
ISSN: 1572-9486
Source: Springer Online Journal Archives 1860-2000
Topics: Physics
Type of Medium: Electronic Resource
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