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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 38 (1997), S. 4887-4899 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Quantum mechanical anharmonic oscillators and Hamiltonians for particles in external magnetic fields are related to representations of nilpotent groups. Using this connection the eigenfunctions of the quartic anharmonic oscillator with potential Vα(x)=(α+(x2/2))2 can be used to determine the eigenfunctions of a charged particle in a nonconstant magnetic field, of the form Bz=β2+β3x. The quartic anharmonic oscillator eigenvalues for low-lying states are obtained numerically and a function which interpolates between α(very-much-less-than)0 (a double harmonic oscillator) and α(very-much-greater-than)0 (a harmonic oscillator) is shown to give a good fit to the numerical data. Approximate expressions for the quartic anharmonic oscillator eigenfunctions are then used to get the eigenfunctions for the magnetic field Hamiltonian. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1432-0584
    Keywords: Key words Myelodysplastic syndrome ; ras point mutation ; Polymerase chain reaction
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Abstract  To determine the prevalence of activated ras-oncogenes (N-ras, Harvey-ras Kirsten-ras), DNA derived from peripheral blood of 51 patients with myelodysplastic syndrome (MDS) was investigated. The method was based on the polymerase chain reaction (PCR) technique to amplify DNA, followed by restriction fragment length polymorphism (RFLP) analysis. Among the French-American-British (FAB) subtypes, N-ras mutations were found in two patients with refractory anemia with excess of blasts (RAEB), in one patient with refractory anemia with excess of blasts in transformation (RAEB-t), and in two patients with chronic myelomonocytic leukemia (CMML). MDS patients with a mutation at codon 12 of the N-ras gene showed shorter survival duration than other MDS patients of the same FAB subtypes, although these findings proved to be not statistically significant (P〉0.1). Interestingly, all but one patient with N-ras mutation developed acute myelogenous leukemia (AML). In conclusion, the presence of mutation at codon 12 of the N-ras gene might serve as a negative prognostic factor at diagnosis of MDS.
    Type of Medium: Electronic Resource
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