Path Definition and 1000 Threads

Hi, I'm desperately searching for some literature which discusses the harmonic oscillator, preferably simple, in terms of the path integral formulation. I am unfamiliar with dirac notation and want something as simple as possible which gives general results of the harmonic oscillator in terms of...

What is the correct way to use the term trajectory in physics when discussin path integral forumaltion calculations. Here is the sentence i am trying to complete and am unsure if i may use the term trajectory: So the wavefunction offers a much more simplistic and perhaps more beautiful way to...

Guide me ! hi frnds, i am doing my computer science engineering in India and i am in 1st year.I am interested to learn some languages as i am interested in programming.Can u people please guide me .:confused:

I got this question on an Assigment, and ..man, am having really hard time with it Here is how it start : "A student used the apparatus shown below to measure the radius of the curvature of the path of electrons as they pass through a magnetic field that is perpendicular to their path. This...

Where can I find an On-line exposition of the undefined nature of the measure in the Feynman path integral? Thanks.

For n \geq m \geq 0, V is an m dimensional subspace of \mathbb{R}^n and X=\mathbb{R}^n \backslash V. Let \pi_0 ( X ) = X / \sim be the identification space of X where x_0 \sim x_1 if there exists a path \alpha : [0,1] \rightarrow X with \alpha(0)=x_0, \alpha(1)=x_1. I'm asked to find the...

I will try to keep this short since I know how annoying these can be :wink: Very brief Background After working as a professional cook for about 6 years (after dropping out of high school) I decided to go back to school. This was about 5 years ago. I first did a 2 year Liberal Arts degree...

Homework Statement I have a problem that says: Find the directional derivative of C(x, y) in the radial direction at any surface point (x, y). It then says: Find the shark’s approach path from any point (x0, y0) at the sea surface. I found the directional derivative in the radial...

Homework Statement What is the orbiting speed (m/s) of a satelite orbiting Earth in a circular path 1000 km above Earth's surface? (Use 4 sig figs) Homework Equations universal constant of 6.67E-11 r of Earth 6.37E6 m (given by teacher) mass of Earth 6E24 kg (given by teacher)...

First of all, I'll say that I do not have much experience in electronics, but I am relatively competent. So, to the point; have any of you seen those outdoor path lights that have a solar cell on the top of them? They charge during the day and light up with LEDs at night. Does anybody know...

Homework Statement Given the system of 4 equal masses connected by identical springs, and constrained to move on a circle, find the normal coordinates and frequencies of the masses. I'm not looking for the answer, just a push in the right direction as I'm having trouble starting. If someone...

Okay then :smile: Homework Statement An object moves in the xy-plane such that its position vector is \bold{r} = \bold{i}a\cos(\omega t)+\bold{j}b\sin(\omega t) \qquad (1) where a,b, and \omega are constants. Show that the object moves on the elliptical path...

Homework Statement A test tube of cylindrical shape having a length of 10 cm and a diameter of 2 cm contains 20 * 10 ^23 molecules (molecular size d = 3 * 10^-10 m). What is the mean free path of these molecules?? Homework Equations λ = 1/ pi * d^2 * n The Attempt at a Solution...

Is there a space that is path connected but NOT locally path connected? I suspect that there must be some example because the theorem on the classification of covering spaces only applies to spaces that are, amongst other things, path connected and locally path connected.

Hello! I wasn't sure where to post this so if I'm in error please excuse me. I find myself in a rather comfortable position of being enrolled in uni but having plenty of time to spare. Furthermore, my current academic let's me pick a major/minor next year of..well almost anything really. I've...

Homework Statement We say the metric space X is locally path connected (lpc) if all balls are path connected sets. Suppose X is lpc and that E is an open and connected subset of X. Prove that E is path connected. Homework Equations A set is open if every point is an interior point. A...

Hello I am looking for websites/online lectures about Feynman's Path Integral formalism. I have Feynman and Hibbs but otherwise my library doesn't have any suitable books. Does anyone know of any good websites on the general theory, history and background, path integrals in general or anything...

I have a bachelors degree in Media. I want to pursue graduate studies in Mathematics (possibly statistics), but my BA has insufficient math credits for me to be accepted into any such program. I am debating between earning a second BA in Mathematics and then sending applications to PhD...

i am a senior in high school and i am starting to really like math sould i try going into something with math?

Homework Statement The resistivities and Fermi speeds of Na, Au, and Sn at T = 273 K are 4.2 µ\Omega·cm, 2.04 µ\Omega·cm, and 10.6 µ\Omega·cm, and 1.07e6 m/s, 1.39e6 m/s, and 1.89e6 m/s respectively. Use these values to find the mean free paths λ for the conduction electrons in these elements...

Steven Hawking writes in A Brief History of Time that time itself must sometimes have an imaginary component in order for Feynman's Sum-Over-Histories approach to work. Why, in a nutshell, is this so? Thanks in advance.

I was curious, if the same voltage was applied to two conductors, I guess wired in parallel, and both passed through a magnetic field at a right angle to the field, and one was refrained from moving, while the other was allowed to move - which path would the electrical current travel?

Homework Statement Its a conceptual question: Theoretically, how does the radial force exerted on an object vary with the radius of its circular path when it is revolving: (a) at constant frequency? (b) with constant speed? Homework Equations F = mv^2/r The Attempt at a...

how does a crow or a radio waves follow the great circle path between two distant places?

Homework Statement An 82 kg pilot flying a stunt airplane pulls out of a dive at a constant speed of 540 km/h. a) What is the minimum radius of the plane's circular path if the pilot's acceleration at the lowest point is not to exceed 7.0g. Homework Equations Fg = mg Fnet = mv^2/r Fnet = ma...

I'm currently an 18 yrs old computer science student who love fancy 3D graphics. I really love computers since childhood years that's the reason why I took this course. But right now I'm an incoming 3rd year student and noticed that I don't like what I'm doing here in school. Though I love what...

Dear all, Since standard QM textbook Sakurai or Shankar only mention Non-relativistic path integral and QFT text deal with path integral for field theory, I want to ask whether there is a subject like "Path Intergral quantization for Relativistic point like Particles"? If so, is this subject...

Homework Statement Let a, b, and c be positive integers. How many paths are there from (0, 0, 0) to (a, b, c) if we are only allowed to increase one of the coordinates by one at each step? Homework Equations The Attempt at a Solution This problem is easy for the path between...

URGENT : to find the path (function) of the boat pursuing another boat.. Homework Statement QUESTION : A boat A moves along the y-axis with constant speed 'V'. Find the path ( function f(x) ) of a second boat B which moves in the left half of the (x,y) plane with constant speed 'v' and...

Homework Statement A ball on the end of a string is cleverly revolved at a uniform rate in a vertical circle of radius 85.0 cm. If the speed of the ball is 3.25 m/s and its mass is 0.335 kg, calculate the tension in the string when the ball is at the a) top of its path Homework...

Homework Statement A room has dimensions 2.85 m (height) × 5.93 m × 6.29 m. A fly starting at one corner flies around, ending up at the diagonally opposite corner. (a) What is the magnitude of its displacement? (b) If the fly walks rather than flies, what is the length of the shortest path it...

Hello everyone this is my first time posting on this website. I wanted to know if our solar system takes a path through the milky way on a linear plane or if it garbages up and down on an unstable x and y path? Just so you all know I'm not an expert in theories or have any type of degree in...

Hi, I was going through section 9.2 of Peskin and Schroeder, and came across equation 9.16 which reads \int\mathcal{D}\phi(x) = \int \mathcal{D}\phi_{1}({{\bf{x}}}) = \int \mathcal{D}\phi_{2}({{\bf{x}}}\)int_{\phi(x_{1}^{0},{\bf{x}})\\\phi(x_{1}^{0},{\bf{x}})}\mathcal{D}\phi(x) What does the...

Does anyone know the path towards becoming an actuary? How does an actuary become an actuary: graduate school, experience, etc.? Thanks for any answers.

How is the absorption coefficient per unit path length determined for excitation sites in a host crystal with an excitation site density of N and a bandgap of the excitation site equal to the photon energy? What I am trying to determine is how many photons will be absorbed for a given length.

which path should I choose?? what career should I choose? a theoretical physicist or a nuclear physicist? I want one that pays good, but mainly which one would be more exciting, I like both of them very much, I wouldn't mind either, just the one that pays a good salary, and is the most...

Hi. My problem is: On the surface of half of a rough sphere there is a known path \theta = \theta(\phi) . I would like to known wath is the speed down the curve at any \theta if there are the force of gravity (in the direction of -z) and the force of friction...

Hi everyone, I was reading through the section on path integrals in Srednicki's QFT book. I came across equation 6.22 \langle 0|0\rangle_{f,h} = \int\mathcal{D}p\mathcal{D}q\exp{\left[i\int_{-\infty}^{\infty}dt\left(p\dot{q}-H_{0}(p,q)-H_{1}(p,q)+fq+hp\right)\right]} =...

I have a question in Srednicki's book regarding path integrals, but first I'll set it up so that no familiarity of the book is required to answer the question. The vacuum to vacuum transition amplitude for the photon field in the presence of a source is given by: <0|0>_J=\int \mathcal D A...

Hi again everyone, I have some doubts about the path integral expressions given in Section 9.1 of Peskin and Schroeder (pg 281 and 282). For a Weyl ordered Hamiltonian H, the propagator has the form given by equation 9.11, which reads U(q_{0},q_{N};T) = \left(\prod_{i,k}\int dq_{k}^{i}\int...

Hi everyone, In chapter 5 of Lewis Ryder's book on QFT, the expression for the propagator as a path integral is derived. Equation 5.7, which is the expression for the propagator over a small path (q_{j+1} t_{j+1};q_{j}t_{j}), reads \langle q_{j+1} t_{j+1} |q_{j}t_{j}\rangle =...

Hi, In Lewis Ryder's QFT book on page 160, the propagator for the case when the Lagrangian can be written as L = \frac{p^2}{2m} + V(q) is given as \langle q_f t_f|q_i t_i \rangle = \lim_{n\rightarrow\infty}\left(\frac{m}{i\hbar\tau}\right)^{(n+1)/2}\int...

Homework Statement r(t)=(2sin(wt),3cos(wt)) a. give unit vector in direction of r'(t) b. give unit vector in plane of motion which is normal to r'(t) c. give an x-y equation for the path of the particle The Attempt at a Solution well a. i think is just finding the unit vector but i...

Circular path---) finding period Homework Statement A 50-g weight tied to a string is twirled in uniform circular motion. If the circumference of the circular path is 207.3 cm and the weight completes 67.1 revolutions per minute, what is the period of the motion, in seconds? Homework...

Homework Statement Hi, It's not a homework question, but as i am a beginner in physics, I prefer to post here first : I try to evaluate thermal resistance at low temperature. I need to compute the mean free path of both electron and phonon in metals, but I do not find any formulas. Can...

Hi guys, I'm a junior and i have my heart set on becoming an engineer after high school. I don't have the slightest clue of what specific type of engineering i want to be in, but it is narrowed to aerospace, mechanical, nuclear, or sustainability. Could anyone point me in the right direction to...

When calculating a path integral, if the Lagrangian is quadratic in the field, then you can perform the path integral by just substituting in the classical solution for the field. So if you have free-field Lagrangians for electrons and photons, and add the standard QED interaction term - which...

How do we know, or how can we prove that the path of a projectile is (at least part of) a parabola?

Homework Statement A light ray enters the atmosphere of a planet where it descends to the surface 15.2 km below. The index of refraction where the light enters the atmosphere is 1.2 and it increases uniformly to the surface where it has a value of 1.55. I) How long does it take the ray...

Since I first leaned of the concept of social networks it has fascinated me but I never really studied the topic. It seems to me a huge topic but is not widely studied compared to other areas of mathematics. What better way to study such things as the spread of information, political views...