Oscillator Definition and 1000 Threads

Traveling Waves Homework Statement If the period of the oscillator doubles, what happens to the wavelength and wave speed? The wavelength is halved but the wave speed is unchanged. The wavelength is unchanged but the wave speed doubles. The wavelength doubles but the wave speed is...

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...

Homework Statement http://fatcat.ftj.agh.edu.pl/~i7zebrow/rysunek.jpg tring constant is k, object mass is M_{1} Damping friction is b and we wiggle the top end of spring in the above diagram with amount Asin(wt) (Where A is a amplitude and w is a frequency). Homework Equations Spring...

Homework Statement Warren Siegel, Fields, ex. IA2.3(b) Define the eigenstate of the fermionic annihilation operator as a|\zeta\rangle=\zeta |\zeta\rangle. \zeta is a Grassmann (anti-commuting) number. Show that a^\dag|\zeta\rangle=-\frac{\partial}{\partial\zeta}|\zeta\rangle. Homework...

This is a question with regard to a specific step in a problem. I don't think it is necessary to elaborate the whole problem. Homework Statement Resolve this apparent contradiction. I get two different answers for Na|n\rangle Homework Equations For a fermionic oscillator, we have...

An oscillator with a mass of 600 g and a period of 0.50 s has an amplitude that decreased by 2.0% during each complete oscillation. If the initial amplitude is 6 cm, what will be the amplitude after 25 oscillations? I should most likely be using T = 2pi*sqrt L/g, as well as the many...

Hi i have to solve this ODE which descirbes motion of forced oscillator with dumping and constant friction :p I'm already solving it numerically with Runge-Kutta 4 yet I'm totaly puzzeled how to do it analytically. equation: mx'' + kx' + w^2_0x + F_f = A cos(\delta t) Ff delta k and...

Homework Statement A quantum mechanical harmonic oscillator with resonance frequency ω is placed in an environment at temperature T. Its mean excitation energy (above the ground state energy) is 0.3ħω. Determine the temperature of this system in units of its Einstein-temperature ΘE = ħω/kB...

Homework Statement Two loudspeakers placed X meters apart are driven in phase by an audio oscillator, whose frequency range is 1300 Hz to 1800 Hz. A point P is located A meters from one loudspeaker and B meters from the other. The speed of sound is 344 m/s. What is the frequency produced by...

Homework Statement One possible solution for the wave function ψn for the simple harmonic oscillator is ψn = A (2*αx2 -1 ) e-αx2/2 where A is a constant. What is the value of the energy level En? Homework Equations The time independent Schrodinger wave equation d2ψ / dx2 =...

hi i want to know why R-C oscillator is called phase shift oscillator? does it only shift the phase?How the amplitude and the frequency of oscillator ca be changed? thanks

Hi everyone, I'm dealing with system identification for the first time in my life and am in desperate need of help :) The system is spring-mounted and I'm analyzing the vertical and torsional displacements. However, it seems like the vertical and torsional oscillations are coupled (shouldn't...

I've been looking at a coupled harmonic oscillator, and normal modes of this: http://en.wikipedia.org/wiki/Normal_mode#Example_.E2.80.94_normal_modes_of_coupled_oscillators At the bottom of this example it says: This corresponds to the masses moving in the opposite directions, while the...

i have a question concerning BLOCH OSCILLTION.i studied that in the extended zone scheme, the energy of an electron with k=pi/d is same as with k=3 pi/d. i can't understand this because by dispersion relation as wave vector increases ,energy also increases(in extended zone scheme too) please...

Homework Statement Particle mass m is confined by a one dimensional simple harmonic oscillator potential V(x)=Cx2, where x is the displaecment from equilibrium and C is a constant By substitution into time-independant schrodingers with the potential show that \psi(x)=Axe-ax2 is a...

The problem is: Two damped harmonic oscillator are coupled. Both oscillators has same natural frequency \omega_0 and damping constant \beta. 1st oscillator is damped by 2nd oscillator. Damping force is proportional to velocity of 2nd oscillator. And, vice versa, 2nd oscillator is...

1. Find C and S in terms of the initial position and velocity of the oscillator. Give your answers in terms of x_0, v_0, and omega. Separate your answers with a comma. 2. x(t) = X_0 + v_0*t + 0.5at^2 x(t) = C*cos(omega*t) + S*sin(omega*t) 3. Taking the derivative of x(t): v(t)...

Homework Statement Show simple harmonic motion starting from Hooke's Law. The Attempt at a Solution F=-kx =m\frac{d^2x}{dt^2}=-kx \frac{1}{x}\frac{d^2x}{dt^2}=-\frac{k}{m} =\frac{1}{x}\frac{d}{dt}\frac{dx}{dt}=-\frac{k}{m}...

Homework Statement A charged harmonic oscillator is placed in an external electric field \epsilon i.e. its hamiltonian is H = \frac{p^2}{2m} + \frac{1}{2}m \omega ^2 x^2 - q \epsilon x Find the eigenvalues and eigenstates of energy Homework Equations The Attempt at a Solution...

Hi guys, I was just wondering of there is any companies that manufactures a 1.7 Ghz oscillators ? For the thing I need, I have a stable supply of voltage and I need a specfic frequencey, the one mentioned above. So a VCO, I think, is not the solution as some of you may suggest...

I'm using the Microwave Office simulating software to design a practice clapp oscillator (picture attached). I'm at the beginning stages of this project. I will have to design a biasing network for this circuit but, before that, I need to find the formula to find the resonant frequency for...

Homework Statement Prove that a 1-d harmonic oscillator in ground state obeys the HUP by computing delta P sub x and delta X Homework Equations delta x = sqrt(<x^2>-<x>^2) delta px = sqrt(<px^2>-<px>^2) The Attempt at a Solution I have absolutely no idea where to start with...

Homework Statement A particle of mass m moves (in the region x>0) under a force F = -kx + c/x, where k and c are positive constants. Find the corresponding potential energy function. Determine the position of equilibrium, and the frequency of small oscillations about it. The Attempt at a...

Homework Statement A particle with with the mass of m is attached to a spring (with no mass, spring constant k, length l) which is attached to a wall. The particle is moving with no friction along the x-axis. a) Write the particles motion equation, and find the general solution to the motion...

Homework Statement The ground state wave function of a one-dimensional simple harmonic oscillator is \varphi_0(x) \propto e^(-x^2/x_0^2), where x_0 is a constant. Given that the wave function of this system at a fixed instant of time is \phi\phi \propto e^(-x^2/y^2) where y is another...

Homework Statement This is a 3 part problem, mass M on a spring of length l with mass m. The first part was to derive the Kinetic Energy of one segment dy, second part was to Integrate this and get the Kinetic Energy of (1/6)m(V^2) where V is the velocity of the Mass M at the end of the...

Homework Statement Find the eigenvalues and eigenfunctions of H\hat{} for a 1D harmonic oscillator system with V(x) = infinity for x<0, V(x) = 1/2kx^2 for x > or equal to 0. Homework Equations The Attempt at a Solution I think the hamiltonian is equal to the potential + kinetic...

Homework Statement A simple pendulum has a length equal to 0.6 m and has a bob that has a mass equal to 0.5 kg. The energy of this oscillator is quantized, and the allowed values of energy are given by En = (n + 1/2)hf0, where n is an integer and f0 is the frequency of the pendulum. Find n if...

what is that oscillator type?

Hello everybody, I noticed these questions are lengthy. If you want to skip my introduction, just scroll down to the questions. I put *** next to each one. I just started Quantum Theory I this semester and I have a question (actually two questions) regarding the quantum harmonic...

Homework Statement "The equation mx'' + kx = F0 * Sin (wt) governs the motion of an undamped harmonic oscillator driven by a sinusoidal force of angular frequency w. Show that the steady-state solution is x = F0 * Sin (wt) /(m * (w0^2 - w^2)) Homework Equations x(t) = xta(t) +...

http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hosc4.html#c1 I know the energy should be E = \frac{{{p^2}}}{{2m}} + \frac{1}{2}m{\omega ^2}{x^2} But I can't figure out why the minimum energy is related to \Delta p

Homework Statement "Show that the ratio of two successive maxima in the displacement of a damped harmonic oscillator is constant."Homework Equations x = a e^(-\upsilont/2) cos (\omegat - \vartheta)The Attempt at a Solution So I want to find when this beast has its maximum values, so I take the...

Hello PF members, Is there some good book, which contain the derivation of average energy of a harmonic oscillator at temperature T. I want to derive from Planck's distribution (PD) function (<n>=(exp(##\hbar\omega/kT##)-1)##^{-1}##)...to get the following relation: energy E=...

Homework Statement Calculate the quantized energy levels of a linear harmonic oscillator of angular frequency $\omega$ in the old quantum theory. Homework Equations \[ \oint p_i dq_i = n h \] The Attempt at a Solution This is supposed to be a simple "exercise" (the first in...

Homework Statement use the hamiltonian equation H=H_x+H_y+H_z to show that wave functions of the form \varphi(r)=\phii(x)\phij(y)\phik(z) where the functions phi_i(x) are the energy eigenfunctions for a 1-d SHM , satisfy H*phi=E*phi , and find the followed values of E for the 3-d...

Hi Guys, Where can I find a 2.45 GHz oscillator, ready made ? thanks in advance

Homework Statement I wonder if someone could help me to arrive at equation 2.56 by performing the substitutions. Please see the attachment Homework Equations Please see the attachment for this part. and also for the attempt of a solution.

Homework Statement A mass M is suspended from a spring and oscillates with a period of 0.880 s. Each complete oscillation results in an amplitude reduction of a factor of 0.96 due to a small velocity dependent frictional effect. Calculate the time it takes for the total energy of the...

Homework Statement One mass m constrained to the x-axis, another mass m constrained to the y-axis. Each mass has a spring connecting it to the origin with elastic constant k and they are connected together by elastic constant c. I.e. we have a right-angle triangle made from the springs with...

I'm trying to read through Griffiths' QM book, and right now I'm on the series solution to the harmonic oscillator (ch 2). I'm having a hard time following the math (especially after equation 2.81) in this section, so if anyone has read this book, please help. My first question is about the...

hey all, I've wired up a standard 555 timer, using two resistors, a capacitor and a diode to make a clock in order to feed a stepper motor controller. http://wolfstone.halloweenhost.com/TechBase/com555_555AnyDutyCycle.gif Its wired like the schematic above. My resistor values are the...

I've followed this: http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hosc3.html#c1, up to the part where it gets to here: . The guide says: "Then setting the constant terms equal gives the energy"? Am I being stupid? I really can't see where that equations come from.

I am not really asking how to solve the problem but just for explanation of what I know to be true from the problems solution. Basically the original problem statement is this: A particle in a harmonic oscillator potential starts out in the state |psi(x,0)>=1/5 * [3|0> + 4|1>] and it asks to...

Hi all, I am doing a project on electronics about the Wien Bridge Oscillator. I learned about impedances and operational amplifiers and now I'm trying to understand the Wien Bridge circuit. I'm having some problems understanding it and I would be very happy to get some help. I still have not...

Hi All, I would really like your help in my design project, which is about desgining, as mentioned in the title, an oscillator with 2.455 GHz frequencey. I want it to be efficent to the greatest extent, meaning the lowest power consumption possible and greatest stablitiy. I'm confused...

Hi, I'm trying to learn quantum physics (chemistry) on my own so that my work with Gaussian and Q-Chem for electronic structural modeling is less of a black box for me. I've reached the harmonic oscillator point in McQuarrie's Quantum Chemistry book and I'm having trouble justifying a step in...

Homework Statement I have to find the minimum and maximum values of the uncertainty of \Deltax and specify the times after t=0 when these uncertainties apply. Homework Equations The wave function is Ψ(x, 0) = (1/√2) (ψ1(x)+ iψ3(x)) and for all t is Ψ(x, t) = (1/√2)...

1. Explain why any term (such as AA†A†A†)with unequal numbers of raising and lowering operators has zero expectation value in the ground state of a harmonic oscillator. Explain why any term (such as AA†A†A) with a lowering operator on the extreme right has zero expectation value in the...

Homework Statement Calculate the expected value of the kinetic energy being \varphi(x,0)=\frac{1}{\sqrt{3}}\Phi_0+\frac{1}{\sqrt{3}}\Phi_2-\frac{1}{\sqrt{3}}\Phi_3 Homework Equations K=\frac{P^2}{2m} The Attempt at a Solution I tried to solve it using two diffrent methods and...