Show for the one-dimensional simple harmonic oscillator where x is the position operator. (Ole**0) = exp[- kc0]x?0)/2],

Question:

Show for the one-dimensional simple harmonic oscillator where x is the position operator.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Modern Quantum Mechanics

ISBN: 978-0201539295

Revised Edition

Authors: J.J Sakurai

See More Books

Question Posted: Apr 16, 2011 06:41 AM

See More Questions

The Hamiltonian operator for a one-dimensional harmonic oscillator moving in the x direction is Find the value of the constant a such that the function e ax2 is an eigenfunction of the Hamiltonian...
Consider a simple harmonic oscillator whose position as a function of time is given by Figure P11.38. At what times in this plot is the kinetic energy a maximum? At what time(s) is the potential...
Is the acceleration of a simple harmonic oscillator ever zero? If so where?
1. Explain the Theories of leadership 2. Research -In modern times give 1 example as to which business leader in the hospitality industry has made a mark and why.?
(a) Sketch the phasor diagram for an ac circuit with a 105- resistor in series with a 22.5-mH inductor. The frequency of the generator is 60.0 Hz. (b) If the rms voltage of the generator is 120 V,...
The switch in Fig. 7.141 opens at t = 0. Use PSpice to determine v(t) for t > 0. 100 mF +30 V 5 A 4 6 202
What is database marketing?
In February 2014, Storage Company worked on five job orders for specialty cedar storage cabinets. It began Job Z-6 for Cedar Safe, Inc., on February 10 and completed it on February 24. Partial data...
The budgeted overhead costs in a manufacturing company for January 2023 based on capacity of 40,000 hours are given below: Overhead expenses Fixed Variable RM RM per hour Management salaries 14,500...
1. Is Jones correct? That is, using the more complete data set, is it true that Jones has the lowest defect rate overall? Are Joness percentages correct overall (i.e., combining domestic and overseas...
Consider a function, known as the correlation function, defined by C(t) = < x (t) x (0)>, where x(t) is the position operator in the Heisenberg picture. Evaluate the correlation function explicitly...
Let where ? ? and ? ? ? are the annihilation and creation operators of two independent simple harmonic oscillator satisfying the usual simple harmonic oscillator commutation relations. Prove J. = (at...
What were the rights of fathers at common law?
The following information is available for Pina Corporation for 2 0 2 4 ( its first year of operations ) . 1 . Excess of tax depreciation over book depreciation, $ 4 0 , 4 0 0 . The difference will...
Rafner Manufacturing has the following budgeted data for its two production departments. Budgeted Data Assembly Finishing Overhead cost $ 1 , 5 3 5 , 1 0 0 $ 1 , 0 1 1 , 7 0 0 Direct labor hours 1 2...
Lakeshore Gelato has 2 1 , 6 0 0 shares of common stock outstanding at the beginning of 2 0 Y 5 . Lakeshore Gelato issued 2 , 7 0 0 additional shares on May 1 and 1 , 8 0 0 additional shares on...
In 2023, Amanda and Jaxon Stuart have a daughter who is 1 year old. The Stuarts are full-time students and are both 23 years old. Their only sources of income are gains from stock they held for three...
Bluebell Corp. reports operating expenses in two categories: (1) selling and (2) general and administrative. The adjusted trial balance at December 31, 2025 included the following expense and loss...
The aim of this exercise is to prove that the linear equation $d Z_{t}=Z_{t^{-}} \mu d M_{t}, Z_{0}=1$ with $\mu>-1$ has a unique solution. Assume that $Z^{1}$ and $Z^{2}$ are two solutions....
You are interested in investing and are considering a portfolio comprised of the following two stocks. Their estimated returns under varying market conditions are provided: (note: it is difficult to...
Find a suitable dimensionless model for heat transfer between a fluid and a spherical body, as seen in Figure 4.1. Heat transfer to a particle in a turbulent flow is a complex phenomenon involving...
For an electron in the ground state of a hydrogen atom, calculate its (a) Potential energy, (b) Kinetic energy, and (c) Total energy.
Suppose a hypothetical atom had two metastable excited states, one 2.0 eV above the ground state and one 4.0 eV above the ground state. If used in a laser with transitions only to the ground state,...
In order to achieve population inversion between two states that are separated by an energy difference of 3.5 eV, what wavelength of pumping light should be used?
Consider a 15%, 20 year bond that pays interest annually, and its current price is $850. What is the promised yield to maturity?
You are a dual-income, no-kids family. You and your spouse havethe following debts (total): mortgage, $212,000; auto loan,$22,000; credit card balance, $16,000; other debts, $22,000.Further, you...
Can you please provide a feedback to this post? 1. What is the managerial view on business? What are the stakeholders view on business? How do they differ? The management viewpoint on business...

Show for the one-dimensional simple harmonic oscillator where x is the position operator. (Ole**0) = exp[- kc0]x?0)/2],

Question:

(Ole**0) = exp[- k²c0]x?0)/2], %3D ik.

Step by Step Answer:

If we work in the Schrdinger picture than 0ekx0xexx dx ...View the full answer

Modern Quantum Mechanics

Students also viewed these Modern Physics questions