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.

UR - http://www.scopus.com/inward/record.url?scp=59949088222&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=59949088222&partnerID=8YFLogxK

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 -