7 papers
Quantization of Arbitrary Hamiltonians
Jose Javier Garcia Moreta
In this paper we discuss a method to apply Quantization rules for arbitrary Hamiltonians that are not necessarily Polynomials in variable p, so we have H of the form H(x,p)=F(x,p)+…
An explicit formula for Pi(x) in the form of a sum over the Non-trivial zeros of the Riemann Zeta function
Jose Javier Garcia Moreta
In this paper we discuss a method to express the Prime counting function as a "sum" over Non-trivial zeros of Riemann Zeta function, using techniques from Analytic Number Theory, a…
Evaluation of Functional Integrals by means of series and the method of Borel transform
Jose Javier Garcia Moreta
In this paper I give an evaluation of a functional integral by means of a series in functional derivatives, first of all we propose a differential equation of first order and solve…
Chebyshev Partition function: A connection between Statistical Physics and Riemann Hypothesis
Jose Javier garcia Moreta
In this paper we present a method to obtain a possible self-adjoint Hamiltonian operator so its energies satisfy Z(1/2+iE_n)=0, which is an statement equivalent to Riemann Hypothes…
A Brief Comment on Post inversion formula for the Laplace transform
Jose Javier Garcia MOreta
In this paper we comment the Post inversion formula for Laplace transform, and its possible application to the branch of Analytic Number theory (Arithmetical functions, RH and PNT)…
An Approach to PI(x) and other Arithmetical function by Variational principles
Jose Javier Garcia Moreta
In this paper we present a method to derive Pi(x) and other Arithemtical functions that can be generated by a Dirichlet series by variational principles,we use a variational method…