TY - JOUR
T1 - Strong time operators associated with generalized Hamiltonians
AU - Hiroshima, Fumio
AU - Kuribayashi, Sotaro
AU - Matsuzawa, Yasumichi
N1 - Funding Information:
F.H. thanks for Grant-in-Aid for Science Research (B) 20340032 from JSPS for financial support. We thank A. Arai for helpful comments and careful reading of the first manuscript. We also thank unknown referee for useful comments.
PY - 2009/2
Y1 - 2009/2
N2 - Let the pair of operators, (H, T), satisfy the weak Weyl relation: Te -itH =e-itH where H is self-adjoint and T is closed symmetric. Suppose that g is a real-valued Lebesgue measurable function on ℝ such that g ∈ c2(ℝ\K) for some closed subset K ⊂ ℝ with Lebesgue measure zero. Then we can construct a closed symmetric operator D such that (g(H), D) also obeys the weak Weyl relation.
AB - Let the pair of operators, (H, T), satisfy the weak Weyl relation: Te -itH =e-itH where H is self-adjoint and T is closed symmetric. Suppose that g is a real-valued Lebesgue measurable function on ℝ such that g ∈ c2(ℝ\K) for some closed subset K ⊂ ℝ with Lebesgue measure zero. Then we can construct a closed symmetric operator D such that (g(H), D) also obeys the weak Weyl relation.
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U2 - 10.1007/s11005-008-0287-y
DO - 10.1007/s11005-008-0287-y
M3 - Article
AN - SCOPUS:59949088222
SN - 0377-9017
VL - 87
SP - 115
EP - 123
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
IS - 1-2
ER -