Diffusion on Riemannian manifolds and integration with respect to anticommuting variables
DOI10.1134/S1064562408040236zbMath1218.81075WikidataQ115247509 ScholiaQ115247509MaRDI QIDQ542224
O. G. Smolyanov, Heinrich von Weizsäcker
Publication date: 8 June 2011
Published in: Doklady Mathematics (Search for Journal in Brave)
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Heat equation (35K05) Quantization in field theory; cohomological methods (81T70) Path integrals in quantum mechanics (81S40) PDEs in connection with quantum mechanics (35Q40) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)
Cites Work
- Chernoff's theorem and discrete time approximations of Brownian motion on manifolds
- Superanalysis. II: Integral calculus
- Note on product formulas for operator semigroups
- Functional Representations for Fock Superalgebras
- Hamiltonian Feynman path integrals via the Chernoff formula
- Space-Time Approach to Non-Relativistic Quantum Mechanics
