@article{1448473,
      author = {Nicola, Fabio. and Trapasso, S. Ivan.},
      url = {http://library.usi.edu/record/1448473},
      title = {Wave packet analysis of Feynman path integrals/},
      publisher = {Springer,},
      abstract = {The purpose of this monograph is to offer an accessible  and essentially self-contained presentation of some  mathematical aspects of the Feynman path integral in  non-relativistic quantum mechanics. In spite of the primary  role in the advancement of modern theoretical physics and  the wide range of applications, path integrals are still a  source of challenging problem for mathematicians. From this  viewpoint, path integrals can be roughly described in terms  of approximation formulas for an operator (usually the  propagator of a Schrodinger-type evolution equation)  involving a suitably designed sequence of operators. In  keeping with the spirit of harmonic analysis, the guiding  theme of the book is to illustrate how the powerful  techniques of time-frequency analysis - based on the  decomposition of functions and operators in terms of the  so-called Gabor wave packets can be successfully applied to  mathematical path integrals, leading to remarkable results  and paving the way to a fruitful interaction. This  monograph intends to build a bridge between the communities  of people working in time-frequency analysis and  mathematical/theoretical physics, and to provide an  exposition of the present novel approach along with its  basic toolkit. Having in mind a researcher or a Ph.D.  student as reader, we collected in Part I the necessary  background, in the most suitable form for our purposes,  following a smooth pedagogical pattern. Then Part II covers  the analysis of path integrals, reflecting the topics  addressed in the research activity of the authors in the  last years.},
      doi = {https://doi.org/10.1007/978-3-031-06186-8},
      recid = {1448473},
      pages = {1 online resource},
      address = {Cham, Switzerland :},
      year = {2022},
}