本质自伴量子半鞅的Ito公式
The Ito Formula for Essentially Self-Adjoint Quantum Semimartingales
摘要：
量子Ito公式到目前为止已被证明为正则（有界）量子半鞅。我们给出了本质自伴（无界）量子半鞅类的三种不同的扩展。第一个推广是被积函数具有由某些标量矩阵控制的混沌矩阵的量子半鞅。第二个推广是有界量子半鞅对经典的、可能无界的量子半鞅的扰动。第三个推广是正则量子半鞅对满足量子Duhamel公式的本质自伴量子半鞅的扰动。
英文摘要：
The quantum Ito formula has so far been proved for regular (bounded) quantum semimartingales We give three different extensions to classes of essentially self-adjoint (unbounded) quantum semimartingales. The first extension is to quantum semimartingales whose integrands have chaos matrices controlled by certain scalar matrices The second extension is to perturbations of classical, possibly unbounded, quantum semimartingales by bounded quantum semimartingales The third extension is obtained by perturbing an essentially self-adjoint quantum semimartingale satisfying the quantum Duhamel formula by a regular quantum semimartingle.
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