p-Adic Path Integrals for Quadratic Actions
نویسندگان
چکیده
منابع مشابه
0 p - ADIC PATH INTEGRALS FOR QUADRATIC ACTIONS
The Feynman path integral in p-adic quantum mechanics is considered. The probability amplitude K p (x ′′ , t ′′ ; x ′ , t ′) for one-dimensional systems with quadratic actions is calculated in an exact form, which is the same as that in ordinary quantum mechanics.
متن کاملPath Integrals for a Class of P - Adic Schrödinger Equations
The theme of doing quantum mechanics on all abelian groups goes back to Schwinger and Weyl. If the group is a vector space of finite dimension over a non-archimedean locally compact division ring, it is of interest to examine the structure of dynamical systems defined by Hamiltonians analogous to those encountered over the field of real numbers. In this letter a path integral formula for the im...
متن کاملAnalytic P-adic Cell Decomposition and P-adic Integrals
Roughly speaking, the semialgebraic cell decomposition theorem for p-adic numbers describes piecewise the p-adic valuation of p-adic polyno-mials (and more generally of semialgebraic p-adic functions), the pieces being geometrically simple sets, called cells. In this paper we prove a similar cell decomposition theorem to describe piecewise the valuation of analytic functions (and more generally...
متن کاملStandard p - adic integrals for GL ( 2 )
The p-adic integrals evaluated here were explicitly introduced only in the later 20th century, starting with Tate and Iwasawa in 1950, by MacDonald in the 1950s, in the 1960’s by Gelfand and Piatetski-Shapiro, Jacquet, Shalika, and then by Jacquet-Langlands in 1970, although shadows of them appeared long ago in the work of Lagrange, Legendre, Gauss, Galois, and Dirichlet. From our vantage, they...
متن کاملAdelic Path Integrals for Quadratic Lagrangians
where K(x′′, t′′; x′, t′) is the kernel of the corresponding unitary integral operator acting as follows: Ψ(t′′) = U(t′′, t′)Ψ(t′). (1.2) K(x′′, t′′; x′, t′) is also called Green’s function, or the quantum-mechanical propagator, and the probability amplitude to go a particle from a space-time point (x′, t′) to the other point (x′′, t′′). Starting from (1.1) one can easily derive the following t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 1997
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732397001485