منابع مشابه
Change of Variable as Borel Resummation of Semiclassical Series
It is shown that a change of variable in 1-dim Schrödinger equation applied to the Borel summable fundamental solutions [8, 9] is equivalent to Borel resummation of the fundamental solutions multiplied by suitably chosen h̄-dependent constant. This explains why change of variable can improve JWKB formulae [11]. PACS number(s): 03.65.-W , 03.65.Sq , 02.30.Lt , 02.30.Mv
متن کاملChange of Variables as Borel Resummation of Semiclassical Series
It is shown that a change of variable in 1-dim Schrödinger equation applied to the Borel summable fundamental solutions [8, 9] is equivalent to Borel resummation of the fundamental solutions multiplied by suitably chosen h̄-dependent constant. This explains why change of variable can improve JWKB formulae [11]. It is shown also that a change of variable alone cannot provide us with the exact JWK...
متن کاملPolynomial Complexity for Hilbert Series of Borel Type Ideals
In this paper, it is shown that the Hilbert series of a Borel type ideal may be computed within a complexity which is polynomial in Dn where n + 1 is the number of unknowns and D is the highest degree of a minimal generator of input (monomial) ideal.
متن کاملOn Modified Borel Methods
for x>0. One says that 5-lim 5„ = 5|7?'-lim 5„ = 5] if lim^.,*, B(x; sk) = s[limx^x B'(x; sk)=s]. The relations between these Borel methods B, B', and their behavior under change of index are known [8, p. 183; 6; 7]. Following a suggestion of R. P. Boas, Jr., we intend to study in this paper the modified Borel methods which arise when the continuous variable x in (1.1) is replaced by the discre...
متن کاملNotes on Borel Determinacy
In this talk, we will provide a high level sketch of Martin’s proof of Borel Determinacy.
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ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1963
ISSN: 0040-8735
DOI: 10.2748/tmj/1178243836