For a two dimensional harmonic oscillator, V (x, y) k x x 2 k y y 2 Write an expression for the energy levels of such an oscillator in terms of k x and k y ...

For a two-dimensional harmonic oscillator, V (x, y) = k x x 2 + k y y

Question:

For a two-dimensional harmonic oscillator, V (x, y) = k_xx² + k_yy² Write an expression for the energy levels of such an oscillator in terms of k_x and k_y.

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

Step by Step Answer:

Related Book For book-img-for-question

Physical Chemistry

ISBN: 978-0321812001

3rd edition

Authors: Thomas Engel, Philip Reid

See More Books

Question Posted: May 17, 2018 02:36 AM

See More Questions

A one-dimensional harmonic oscillator has an infinite series of equally spaced energy states, with E x = sh, where s is a positive integer or zero, and is the classical frequency of the oscillator....
For the ground state of the one-dimensional harmonic oscillator, find the average value of the kinetic energy and of the potential energy; verify that (T) = (V) in this case.
A one-dimensional harmonic oscillator in a stationary state has (T) = 5.0 X 10-19 J. Find E and (V) for this state.
Using atomic weight, crystal structure, and atomic radius data tabulated inside the front cover of the book, compute the theoretical densities of aluminum (Al), nickel (Ni), magnesium (Mg), and...
A group of hikers is lost in a national park. Two ranger stations receive an emergency SOS signal from the hikers. Station B is 75 miles due east of station A. The bearing from station A to the...
Distinguish between simple and compound interest.
Kimberley, Kerry and Kevin, partners trading as Triple K Traders have a partnership deed which includes the following provisions. 1. Salaries are to be allowed: Kimberley, $$54000;$ Kerry,...
What perspectives on motivation are reflected in the fact that the work of DVD inspectors at Netflix warehouses is carefully timed? Which type of motivational process seems to be most important at...
In a high-profile criminal trial, the defendant alleges that their confession was coerced by law enforcement officers during interrogation. How might the court assess the admissibility of the...
The capitalized cost of an initial investment of $200,000 and annual investments of $30,000 forever at an interest rate of 10% per year is closest to: (a) $230,000 (b) $300,000 (c) $500,000 (d)...
What is the degeneracy of the energy levels for the rigid rotor in two dimensions? If it is not 1, explain why.
A gas-phase 1 H 127 I molecule, with a bond length of 160.92 pm, rotates in three dimensional space. a. Calculate the zero point energy associated with this rotation. b. What is the smallest quantum...
Let $\mathscr{A}=\sigma(\mathscr{G})$ be a $\sigma$-algebra on $X$, where $\mathscr{G}=\left\{G_{i}: i \in \mathbb{N}ight\}$ is a countable generator. Let \(g:=\sum_{i=1}^{\infty} 2^{-i}...
compute A=AA, AAAA, and A+. Describe the pattern that emerges, and use this pattern to find A 1001. Interpret your answers geometrically, in terms of rotations, reflections, shears, and orthogonal...
Research Project 1 1. FinTech Lending Research Research a fintech lending business model that is different from the ones covered in the lectures. Explain what is special in the model and what are the...
2. Compute the weight updates on the following data set (x, d) using batch delta learning rule for two cycles. Calculate the training error in each iteration in two cycles. Use bipolar sigmoid...
What are the legal standards of care applicable to physicians and other providers and how are they established in a professional liability case?
3. This problem is concerned with the string encodings of DFAs. Fix the alphabet = {0, 1}; then one way to encode the DFA (Q, , 8, qo, F) is by the string 10(0,0))((0, 1)) ... ((q|Q|, 1))0(F), where...
Basketball on the Moon. If LeBron James can jump 1.5 m high on Earth, how high could he jump on the Moon (assume an indoor court), where g - 1.6 m/s 2 ?
An item of depreciable machinery was acquired on 1 July 2009 for $120,000 by cash It is expected to have a useful life of 10 years and zero salvage value On 1 July 2012, it was decided to revalue the...
Provide molecular interpretations for the dependencies of the diffusion constant and the viscosity on the temperature, pressure, and size of gas molecules.
An empirical expression that reproduces the viscosity of water in the range 20100 C is where 20 is the viscosity at 20C. Explore (by using mathematical software) the possibility of fitting an...
A layer of 20.0 g of sucrose is spread uniformly over a surface of area 5.0 cm 2 and covered in water to a depth of 20 cm. What will be the molar concentration of sucrose molecules at 10 cm above the...
(1) provide an example of each lessonfrom the movie and (2) describe briefly how it illustrates/supports the lesson. Don't worry if you can't remember the characters' names. When a person's actions...
Transferable leadership skills The aim of this part of the assessment is for you to reflect on transferable leadership and professional skills that you may already have and/or need to develop. These...
A startup has 1,000 shares outstanding. A VC offers to invest $1 million at a post-money valuation of $5 million. How many shares will the VC get

For a two-dimensional harmonic oscillator, V (x, y) = k x x 2 + k y y

Question:

Step by Step Answer:

1 E n h 2Hx ...View the full answer

Physical Chemistry

Students also viewed these Sciences questions