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Stochastic path-integral simulation of quantum scattering
Physical Review A, 1993We present a path-integral solution for the exact propagation of the Wigner distribution in phase space, which is an improved version of results obtained [Maslov, Bertrand, Combe, and co-workers, J. Sov. Math. 13, 315 (1980); 19, 55 (1982); Lett. Math. Phys. 7, 327 (1983); Physica 124A, 561 (1984)] and is suitable for Monte Carlo simulations.
, Schmidt, , Möhring
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A spectral approach to quantum stochastic integrals
Reports on Mathematical Physics, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Berezanskij, Yu. M. +2 more
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1984
There have been many attempts to set up quantum analogues of the theory of stochastic processes and stochastic differential equations. I should mention the many papers of M. Lax [1] on “quantum noise”, and those of Senitzky [2]; these were inspired by the problem of describing a laser, and by quantum electronics.
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There have been many attempts to set up quantum analogues of the theory of stochastic processes and stochastic differential equations. I should mention the many papers of M. Lax [1] on “quantum noise”, and those of Senitzky [2]; these were inspired by the problem of describing a laser, and by quantum electronics.
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Quasi-free quantum stochastic integrals in the plane
Reports on Mathematical Physics, 2002In the classical theory of stochastic integration, Wong and Zakai followed by Cairoli and Walsh, developed a calculus for two-parameter martingales in the seventies. Here, the authors provide quantum analogues of that kind of integrals and calculus, involving two-parameter processes like quasi-free boson or fermion creation and annihilation.
Spring, W. J., Wilde, I. F.
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The Wong-Zakai-Clifford quantum stochastic integral
Reports on Mathematical Physics, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Spring, William J., Wilde, Ivan F.
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Causal structure of quantum stochastic integrators
Theoretical and Mathematical Physics, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Symmetrized double quantum stochastic product integrals
Journal of Mathematical Physics, 2000A theory is developed of product integrals of the form ∏a<s<b ∏c<t<d(1+g[h] (ds,dt)). Here [a,b[ and [c,d[ are disjoint finite subintervals of R+, and g[h] is a formal power series in the indeterminate h whose constant term is zero and whose coefficients are elements of L⊗L, where ℒ is the space of basic differentials of a ...
Hudson, R. L., Pulmannová, S.
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Anticipating quantum stochastic integrals
Infinite Dimensional Analysis, Quantum Probability and Related TopicsBased on the quantum white noise theory, we formulate new types of anticipating quantum stochastic integrals by combining the Hitsuda–Skorokhod quantum stochastic integrals and the interactions between the integrands and the integrators. For our purpose, we prove various versions of analytic characterization theorems of symbols of white noise ...
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The stochastic action integral interpretation of the quantum-mechanical transformation function
Lettere Al Nuovo Cimento Series 2, 1980F~,Y~MAN (i) originally noted the interesting result that, for quadratic actions, an average over all paths between fixed endpoints of the transition led to a separation of the quantum-mechanical transformation function into two factors. One factor depends upon the time interval of transition and the fixed endpoints, while the other factor is dependent
SANTAMATO, ENRICO, B. H. LAVENDA
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