Results 11 to 20 of about 72,880 (178)
MALLIAVIN CALCULUS AND SKOROHOD INTEGRATION FOR QUANTUM STOCHASTIC PROCESSES [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2001 A derivation operator and a divergence operator are defined on the algebra of bounded operators on the symmetric Fock space over the complexification of a real Hilbert space [Formula: see text] and it is shown that they satisfy similar properties as the derivation and divergence operator on the Wiener space over [Formula: see text].
Franz, Uwe +2 more
openaire +4 more sources
Stochastic path-integral formalism for continuous quantum measurement [PDF]
Physical Review A, 2015 We generalize and extend the stochastic path integral formalism and action principle for continuous quantum measurement introduced in [A. Chantasri, J. Dressel and A. N. Jordan, Phys. Rev. A {\bf 88}, 042110 (2013)], where the optimal dynamics, such as the most-likely paths, are obtained by extremizing the action of the path integral.
Chantasri, Areeya, Jordan, Andrew N.
openaire +5 more sources
Stochastic integral representation theorem for quantum semimartingales
Journal of Functional Analysis, 2003 The quantum stochastic integral of Itô type formulated by \textit{R. L. Hudson} and \textit{K. R. Parthasarathy} [Commun. Math. Phys. 93, 301--323 (1984; Zbl 0546.60058)] is extended to a wide class of adapted quantum stochastic processes on Boson Fock space.
Un Cig Ji
openaire +3 more sources
Probability Calculations Within Stochastic Electrodynamics
Frontiers in Physics, 2021 Several stochastic situations in stochastic electrodynamics (SED) are analytically calculated from first principles. These situations include probability density functions, as well as correlation functions at multiple points of time and space, for the ...
Daniel C. Cole
doaj +1 more source
Intrinsic Dimension of Path Integrals: Data-Mining Quantum Criticality and Emergent Simplicity
PRX Quantum, 2021 Quantum many-body systems are characterized by patterns of correlations defining highly nontrivial manifolds when interpreted as data structures. Physical properties of phases and phase transitions are typically retrieved via correlation functions, that ...
T. Mendes-Santos +4 more
doaj +1 more source
State-dependent graviton noise in the equation of geodesic deviation
European Physical Journal C: Particles and Fields, 2021 We consider an equation of the geodesic deviation appearing in the problem of gravitational wave detection in an environment of gravitons. We investigate a state-dependent graviton noise (as discussed in a recent paper by Parikh,Wilczek and Zahariade ...
Z. Haba
doaj +1 more source
Quantum Stochastic Integrals as Operators [PDF]
International Journal of Theoretical Physics, 2010 We construct quantum stochastic integrals for the integrator being a martingale in a von Neumann algebra, and the integrand -- a suitable process with values in the same algebra, as densely defined operators affiliated with the algebra. In the case of a finite algebra we allow the integrator to be an $L^2$--martingale in which case the integrals are $L^
openaire +2 more sources
Gibbs measures with double stochastic integrals on a path space [PDF]
, 2007 We investigate Gibbs measures relative to Brownian motion in the case when the interaction energy is given by a double stochastic integral. In the case when the double stochastic integral is originating from the Pauli-Fierz model in nonrelativistic ...
Betz, Volker, Hiroshima, Fumio
core +4 more sources
PT Symmetry, Non-Gaussian Path Integrals, and the Quantum Black–Scholes Equation
Entropy, 2019 The Accardi–Boukas quantum Black–Scholes framework, provides a means by which one can apply the Hudson–Parthasarathy quantum stochastic calculus to problems in finance.
Will Hicks
doaj +1 more source
Action principle for continuous quantum measurement [PDF]
, 2013 We present a stochastic path integral formalism for continuous quantum measurement that enables the analysis of rare events using action methods. By doubling the quantum state space to a canonical phase space, we can write the joint probability density ...
Chantasri, A. +2 more
core +3 more sources