Path Definition and 1000 Threads

Hey guys. I’m new here, so just a little about me so you guys can understand my situation. I was dead-set on studying Mechanical Engineering in order to study Automotive Engineering in the future… However, I’ve been having second thoughts. I’ve been toying around with the idea in my mind...

Homework Statement Consider a space station orbiting around the Earth in a circular orbit. If it fires its engine radially outward, will it follow a different circular path or an elliptical path? The Attempt at a Solution Since the thrust force is perpendicular to the motion, the...

I am looking for a textbook that introduces and discusses the path integral formulation of non-relativistic quantum mechanics? Would you have some suggestions for me? Thanks.

Greetings Physics forum, I would like to start with a quick introduction, followed up with naming a few subjects I have been considering tackling as a career. I would appreciate any input or general feedback regarding my situation, and encourage you to share your stories of how you came to...

Homework Statement Two slits separated by a distance of d = 0.115 mm are located at a distance of D = 2.43 m from a screen. The screen is oriented parallel to the plane of the slits. The slits are illuminated by a monochromatic and coherent light source with a wavelength of λ = 595 nm. A...

http://www.stewartcalculus.com/data/CALCULUS%206E%20Early%20Transcendentals/upfiles/projects/ess_wp_0205_stu.pdf I'm sure this question has already been asked in some form so if I'm repeating, my apologies. I’m not looking for an answer (not trying to have others do my work for me). However...

r' = 4r - rf f' = -3f + rf In this question, there was three parts: a) find all the critical points of this system. b) Derive the linearised system about each critcal point... c) Use the chain rule to derive the path equation of the trajectories in the phase plane. I managed to get a...

My applied maths teacher proposed this question while we were having a discussion about gravitational effects. We do not know the answer. Given a hollow cylinder with a mass large enough to have its own gravitational effects, placed in zero gravity. If you propel an object into to an...

hi i am a second year mechanical engineer at Southampton uni, we get to choose a theme for the remaining 2 years. the options i like the sound of are advanced materials - should be quite an easy option and should be lots of jobs in this ? bioengineering - sounds quite interesting might be...

Last semester in my astronomy class, we tried to find an equation that would fit the path of the sun based on measurements we took, but we realized that due to the change in the tilt of the earth, it wouldn't be a simple sine or cosine graph, and we dropped the subject. I was wondering if there...

Homework Statement Path of a particle attached to the end of a flexible bar is essentially an ellispe in the horizontal plane. Determine the acceleration of the particle in an arbitrary position. Homework Equations The polar coordinates are: R = ab/(b^2+(a^2-b^2)cos(theta)^2)^.5...

Hi everyone I'm having trouble working out how to import a specified path into a bash script. Basically, I have numerous scripts, each of which writes their output to a certain directory via the command set wdir = "/home/..." However, in the future this directory may change, so rather than...

Hello to all, To take Feynman path integrals, which Monte Carlo algorithm do you think is best to use? I tried VEGAS algorithm as it is in GNU Scientific Library. It is pretty useful for many kinds of multi-dimensional integrals but since the path integral formulation includes Gaussian...

Hi, In calculating the conductivity from the Kubo method j_{\mu}=\int dx' K_{\mu \nu} (x,x') A^{\nu}(x') in literature ( e.g. in Condensed Matter Field Theory by Altland and Simons) you find that K_{\mu \nu}(x,x')= Z^{-1} \frac{\delta^2}{\delta A_{\mu}(x) \delta A_{nu}(x')}...

Hi, I am new to physicsforum so you probably don't know me. My name is Alexis, i am a guy, i just turned 16. I love physics, especially Astro-physics. I am still doing my IGCSE's, and I want to make sure I choose the right subjects for my A-Levels. I chose: Physics, Pure Mathematics, English...

Homework Statement I do need to calculate the mean free path for an ion with a radius of 9 x 10‐8 cm in pressures of 10‐8 Torr, 10‐6 Torr, 10‐4 Torr and 10‐2 Torr Homework Equations There are different equations I found but the most one is λ= 1/Nσ N gas number density which I do not...

Hi, I would like to ask you, How has your experience in pursuing your career in astrophysics been like? Such as College, University, Finding work in the field and working in the field. I ask because I love the subject, definate passion of mine and now i'd like to pursue it, get to...

Attached is the problem and solution for part B, can someone please explain how they obtain the equation for part B, i don't see why they take the root. Thank you. Homework Statement [PLAIN]http://img153.imageshack.us/img153/8149/97578282.jpg

Hello! I have a hard time getting to know what this exponential W(J) really is about. What is it even called? Zee writes: Z(J) = Z(J=0) * e^(i W(J)), and I suppose that this is the term that should be evaluated by summing over all possible pair of sources? What is W(J) for a system with 2...

In a double slit, when the distance between the screen is NOT small (i.e. the rays r1 and r2 are not parallel) how is path length determined? Thanks

Just to review a little bit: In general, for a gauge field with Yang-Mills Lagrangian \mathcal L=-\frac{1}{4}F^{c}_{\mu \nu}F^{c \mu \nu} for each c it is impossible to find the resulting free Green's function G(k) in momentum space: (g^{\mu \nu}k^2-k^{\mu}k^{\nu})G_{\nu...

Hi, Does anyone know how this integral is calculated \int[dx] x_i x_j \exp \{ - (\frac{1}{2} \sum_{rs} A_{rs}x_r x_s+\sum_r L_r x_r ) \} Thanks

Hello fellow physicists! Last meeting with my supervisor I had just recovered from disease so all I have left are some equations for the math behind path integrals that don't make to much sense.. I was wondering if, maybe someone can help and clarify what he was trying to get at. It would be...

Homework Statement what is the difference between path integral and line integral? Homework Equations n/a The Attempt at a Solution is path integral over a scalar function and line integral is over vector function? I'm confused about this pls help me understand thanks...

Homework Statement The definition for local path connectedness is the following: let x be in X. Then for each open subset U of X such that x is in U, there exists an open V contained in U such that x is in V and the map induced by inclusion from the path components of V to the path components...

In a Feynman Path integral, Z(\phi) = \int \cal D \phi e^{\frac{iS(x)}{\hbar}}, what does the object e^{\frac{iS(x)}{\hbar}} mean?

According to my school, I got to take calc 3 and 1 semester of linear algebra before i can start differential equations. Is this so? Anything else you would advise to add? Or is this too much and I can deal with less? I ask because many have advised calc 3 before any physics even though my...

Hi guys. I do not know artificial satellite revolve around Earth in a circular path or an ellipse path but do we have physics and mathematical proof that artificial satellite revolve around Earth in circular/ellipse path?

Have some doubt regarding the behaviour of the light near the Black hole...What happens to the path of light at various distances from the Black hole??...If we send a small bot, with sensor attached to it , radially towards the Blackhole, what would be the last thing that the sensor records...

In a system of two rotating masses about a point (i.e, the sun), would the reduced mass (used for calculations) trace out another ellipse?

This is a two part question. Part 1: I am embarrassed to ask but if someone could please help me. I was thinking about a train car moving at a constant speed which had a simple apparatus onboard. A light source on a pole which emits light straight down only (say a laser of some kind). Below the...

Is there any way to prove that entropy change is independent from the path? dS=dQ/T dQ=dE+PdV d(PV)=PdV+VdP dS=nCd[ln(T)]+nR[ln(T)]-VdP/T i go this far, but it is not very different from dS=nCd[ln(T)]+PdV/T

Hello, well i am contemplating whether i should get a Phd in physics and a degree in engineering or a PhD in engineering and a degree in physics. Can you help me? Also can i have some reasoning too.

As i understand as a solution to the double slit experiment is the path integral formulation. Since a particle fired at one slit will interfere with its all other trajectories and will formulate that pattern we all know, doesn't this imply that information is exchanged between it and all...

I am a senior in high school and currently deciding on what I want to do with the rest of my life as many others are. I have always enjoyed optics. I enjoy reading up on optical physics and up and coming optical technology (and of course playing with lasers). My question is would I enjoy optical...

hello, I've posted this question on a math forum, but they weren't much help - this really is more appropriate in physics ;) i'm working on a computer program and I'm using a library that generates a 2D graphics of a circle given a theta and phi. if i want to make the ball rotate around its...

What is the relationship between the quantum mechanical path integral and classical mechanics path integral?

Hi there, this is a problem I'm having since last year, and should be "very easy", and i guess it is. 3 long years ago i took the complex analysis course, and I've used so little of it until now, that i almost forgot everything of it. The problem is this, I have the following integration...

It is not obvious to see the non-commutative nature of QM in path integral formulation. I've read something on Wiki: http://en.wikipedia.org/wiki/Path_integral_formulation#Canonical_commutation_relations But I can't work out the math fully, can someone guide me a bit?

Homework Statement Find (classify) all graphs with n vertices who's Euler's path is the same as their Hamiltonian cycle. The Attempt at a Solution I'd say that any regular graphs with a degree greater than n/2 (Dirac's Theorem) with and n divisible by 2 has both and Euler's path and a...

ok, so here's the problem: given a 3 x 3 x 3 cubic system of vertices, a starting vertex, and an end vertex, how many paths that pass through all vertices ONLY ONCE and start and end at the given vertices(for example let's say the starting and end vertices are two opposite corner vertices) can...

I'm going to have trouble stating this question exactly in the language of GR, but I'm going to try my best. We have a manifold with two identical black holes falling into each other from a large distance with no angular momentum, both spin and around their collective center of mass. A ray of...

It seems obvious in path integral, the paths include some non-differentiable path (some even discontinuous, I think), wouldn't it cause any serious problem? For example, the classical lagrangian as the phase factor, is defined on differentiable paths, isn't it?

Hi, By analogy with scalar field case, Srednicki leads us to Z_0 (\eta)=\int \mathcal{D}\Psi \exp{\left[i\int\,\mathrm{d}^4x (\mathcal{L}_0+\eta^{T}\psi)\right]} for a Majorana field. I was expecting something different, like maybe: Z_0 (\eta)=\int...

Hello everyone, I am currently a first year student at Tulane University and am contemplating whether to pursue A) a dual-degree program or B) a more traditional undergraduate route in order to obtain at least a bachelors degree before applying to graduate school (or maybe medical school)...

Homework Statement when complex integral is independent of path? i heard that its for every function f(z) but when i have function f(z)=\left(x^2+y\right)+i\left(xy\right) its not independent, why?

Homework Statement integral: \int\limits_C\cos\frac{z}{2}\mbox{d}z where C is any curve from 0 to \pi+2i The Attempt at a Solution can i do this like in real analysis when counting work between two points, just count this integral and put given data in?

http://www.physorg.com/news/2010-12-ibm-breakthrough-chip-technology-path.html Can Microsoft or AMD use this Nanophotonics chip technology? Can they say goodbye to Moore's Law after this breakthrough?

Time dilation formula for accelerated circular and spherical motion A traveler goes in an accelerated circular motion of radius r from spacestation A to spacestation B with a constant proper acceleration alpha, e.g. there is also a tangential acceleration...

I am emotional! I am working as a software engineer for a Belgium steel company. Joining the industry as I see takes me far away from my area of expertise. Perhaps I am still unable to see it that much or it is likely that I am on the right track to take a leave of the current profession for a...