APPROXIMATE SEQUENCE FOR Ut,t0)-OPERATOR

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LI ZI-PING. APPROXIMATE SEQUENCE FOR Ut,t0)-OPERATOR[J]. Chinese Physics C, 1979, 3(4): 511-517.
LI ZI-PING. APPROXIMATE SEQUENCE FOR Ut,t0)-OPERATOR[J]. Chinese Physics C, 1979, 3(4): 511-517. shu
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Received: 1978-04-23
Revised: 1900-01-01
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APPROXIMATE SEQUENCE FOR Ut,t0)-OPERATOR

  • Sinkiang University

Abstract: We give an approximate sequence for Ut,t0)-operator.We prove the follow-ing theorems:Theorem 1.If the norm ||Ht)|| of Ht)in equation(2.1)is a Lebesgue in-tegrable function with respect to t,then there is an approximate sequence{Un},such that for any state vector |Φ〉,|Ψ〉,the sequence <Φ|U1|Ψ><Φ|U2|Ψ>,......,<Φ|Un|Ψ>,......is uniform convergent with respect to t.Theorem 2.If in finite time interval,the norm ||Ht)|| of Ht)in equation (2.1)is a Lebesgue integrable function,then equation(2.1)has unique solution.

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