Generalized Calculation of Path Integrals for Quadratic Form Actions: Some Questions
Jay R. Yablon
In an exercise linked at:
I have sought to examine the mathematics used to obtain a closed form
expression for the path integral for a Lagrangian which is a general
polynomial in the field psi, for any and all orders in the field, but
with the constraint that the Lagrangian include terms which are
quadratic in the field, i.e., that it include terms
.5K psi^2 + J psi (1)
I would appreciate feedback, particularly about (2.18) in this exercise,
whether this general form is known (I find it hard to think that it is
not), and if so, how this form is generally talked about in relation to
"perturbation theory."
Thanks,
Jay
____________________________
Jay R. Yablon
Email: jya...@nycap.rr.com
co-moderator: sci.physics.foundations
Weblog: http://jayryablon.wordpress.com/
Web Site: http://home.roadrunner.com/~jry/FermionMass.htm
Ken S. Tucker
> Dear Friends:
>
> In an exercise linked at:
>
>
> I have sought to examine the mathematics used to obtain a closed form
> expression for the path integral for a Lagrangian which is a general
> polynomial in the field psi, for any and all orders in the field, but
> with the constraint that the Lagrangian include terms which are
> quadratic in the field, i.e., that it include terms
>
> .5K psi^2 + J psi (1)
>
> I would appreciate feedback, particularly about (2.18) in this exercise,
> whether this general form is known (I find it hard to think that it is
> not), and if so, how this form is generally talked about in relation to
> "perturbation theory."
> Thanks,
> Jay
Hi Jay (et al).
I'm enthusiastic your study will improve understanding
superconductivity,
it obviously important to electronics and civilization, i.e.
http://en.wikipedia.org/wiki/Low-noise_amplifier
I think we generally could use an improved understanding of
conductivity,
that is electrical current in a medium.
My understanding of superconductivity, is that the electronic current,
in relation to the medium, suppresses (or destructively interferes)
with
the output of photons which results from resistance.
The photons themselves (usually infared) heat the medium and power
is lost, and noise results.
While on this issue, is "coated lenses",
http://rick_oleson.tripod.com/index-166.html
which is a optical conductor with the 'current' being photons, instead
of electrons.
Jay I'm going to continue to study your work with those types of
applications in mind, and will help when I can.
____________________________
> Jay R. Yablon
> Email: jyab...@nycap.rr.com
> co-moderator: sci.physics.foundations
> Weblog:http://jayryablon.wordpress.com/
> Web Site:http://home.roadrunner.com/~jry/FermionMass.htm
Cheers
Ken S. Tucker