scientific article; zbMATH DE number 1106853

zbMath0897.60062MaRDI QIDQ4372109

Jean-Claude Zambrini, Michèle Thieullen

Publication date: 11 October 1998

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1997__67_3_297_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

quantum mechanicsLagrangian mechanicsFeynman's path integralsymmetries in regular quantum mechanics

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Stochastic calculus of variations and the Malliavin calculus (60H07)

Related Items

Symmetry of stochastic non-variational differential equations ⋮ Position dependent non-linear Schrödinger hierarchies: involutivity, commutation relations, renormalisation and classical invariants ⋮ A weak approach to the stochastic deformation of classical mechanics ⋮ A stochastic Noether theorem. ⋮ Feynman and the mathematics ⋮ From second-order differential geometry to stochastic geometric mechanics ⋮ W-symmetries of Ito stochastic differential equations ⋮ Reciprocal processes. A measure-theoretical point of view ⋮ Stochastic Hamiltonian dynamical systems ⋮ Symmetry and integrability for stochastic differential equations ⋮ An intrinsic calculus of variations for functionals of laws of semi-martingales ⋮ Navier-Stokes and stochastic Navier-Stokes equations via Lagrange multipliers ⋮ Symmetries and Martingales in a Stochastic Model for the Navier-Stokes Equation ⋮ The Sharma-Parthasarathy stochastic two-body problem ⋮ Isovectors for the Hamilton-Jacobi-Bellman equation, formal stochastic differentials and constants of motion in Euclidean quantum mechanics

Cites Work

• Symmetries in the stochastic calculus of variations
• Reciprocal diffusions in flat space
• Malliavin calculus and Euclidean quantum mechanics. I: Functional calculus
• Viscosity solutions of fully nonlinear second-order equations and optimal stochastic control in infinite dimensions. I: The case of bounded stochastic evolutions
• Malliavin calculus and Euclidean quantum mechanics. II: Variational principle for infinite dimensional processes
• Conserved quantities and symmetry for stochastic dynamical systems
• A Family of Integrals Serving to Connect the Wiener and Feynman Integrals
• Conditional brownian motion and the boundary limits of harmonic functions
• Probability and Quantum Symmetries. II. The Theorem of Nœther in quantum mechanics
• Bernstein processes and spin-1/2 particles
• Stochastic mechanics of reciprocal diffusions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item