Verify that 1 (x) in Equation 18.31 is a solution of the Schrdinger equation for the
Question:
Verify that ψ1(x) in Equation 18.31 is a solution of the Schrödinger equation for the quantum harmonic oscillator. Determine the energy eigenvalue.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 90% (10 reviews)
nx b 2 dx 2 40 I 2 2 40 40 2 40 2 14 4x 3 40 2 14 dx 2 I 1...View the full answer
Answered By
Nazrin Ziad
I am a post graduate in Zoology with specialization in Entomology.I also have a Bachelor degree in Education.I posess more than 10 years of teaching as well as tutoring experience.I have done a project on histopathological analysis on alcohol treated liver of Albino Mice.
I can deal with every field under Biology from basic to advanced level.I can also guide you for your project works related to biological subjects other than tutoring.You can also seek my help for cracking competitive exams with biology as one of the subjects.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
Verify that the n = 1 wave function 1 (x) of the quantum harmonic oscillator really is a solution of the Schrdinger equation. That is, show that the right and left sides of the Schrdinger equation...
-
As discussed in Chapter 20, in a more exact solution of the Schrödinger equation for the hydrogen atom, the coordinate system is placed at the center of mass of the atom rather than at...
-
Verify by direct substitution that the wave function for a standing wave given in Equation 18.3, y = 2A sin kx cos wt Is a solution of the general linear wave equation, Equation 16.27 2y / x2 = 1 2y...
-
3 (a) A laser beam of uniform cross-sectional area passes through air into a glass block (refractive index 1.5). Determine the ratios of (i) the velocities (ii) the frequencies and (iii) the...
-
A trough for feeding cattle is 4 meters long and its cross sections are isosceles triangles with the two equal sides being 1/2 meter (see figure). The angle between the two sides is θ....
-
Differential equations like the one solved in Prob. 27.6 can often be simplified by linearizing their nonlinear terms. For example, a first-order Taylor series expansion can be used to linearize the...
-
Zhang Ltd uses sales, purchases, cash receipts, cash payments and a general journal along with subsidiary ledgers for accounts receivable and accounts payable. Zhang Ltds financial year ends on 31...
-
Firm S is the only producer of a particular type of foam fire retardant and insulation used in the construction of commercial buildings. The inverse demand equation for the product is P = 1,500 -...
-
(a) Explain four reasons why multinational corporations (MNCs) forecast exchange rates. (b) (4 marks) SPL Limited, a company based in Kenya expects to receive 2 million Euros in one year's time. The...
-
You are the Divisional Lead of Human Resources at a large international mining firm with operations located throughout the world. The senior leadership team wants to move away from providing a 100%...
-
A 1 H 19 F molecule, with a bond length of 91.68 pm, absorbed on a surface rotates in two dimensions. a. Calculate the zero point energy associated with this rotation. b. What is the smallest quantum...
-
Evaluate the average kinetic and potential energies, E kinetic and E potential , for the second excited state (n = 2) of the harmonic oscillator by carrying out the appropriate integrations.
-
Discuss the meaning of a sequence. If a finite sequence is defined by a formula, what is its domain? What about an infinite sequence?
-
Write a program to generate random passwords; the user should be able to select the length. Create a new project called04.06Password Generator in the Mod04Assignments folder. Create a class called...
-
how you would present return on equity (ROE) and earnings per share (EPS) to a group of investors or senior management.
-
Walmart Amazon Profit Ratios 2023 2023 Profit Margin on Sales 2.80% 3.62% Return on Assets (ROA) 6.50% 2.85% Return on Equity (ROE) 21.20% 22.48% What conclusions can be drawn about Walmart and...
-
Write a program to determine the surface gravity (g) on a planet in our solar system. Create a new project called 02 Defining New Methods in the Mod05Assignments folder. Create a class called...
-
What does Kappa statistics or cohens kappa measure?
-
Pulling gs. Suppose again you are the astronaut in Problem 9. When most people are subjected to an acceleration greater than about 5 g, they will usually become unconscious (black out). Will you be...
-
Floyd Distributors, Inc., provides a variety of auto parts to small local garages. Floyd purchases parts from manufacturers according to the EOQ model and then ships the parts from a regional...
-
A one-dimensional polymer chain consists of 700 segments, each 0.90nm long. If the chain were ideally flexible, what would be the r.m.s. separation of the ends of the chain?
-
The refractive index of CH 2 I 2 is 1.732 for 656nm light. Its density at 20 C is 3.32 g cm 3 . Calculate the polarizability of the molecule at this wavelength.
-
Evaluate, by explicit summation, the mean vibrational energy of CCl 4 and plot its value as a function of temperature. At what temperature is the equipartition value within 5 per cent of the accurate...
-
Shop Co. has sales of $11 million and cost of sales of $5.5 million. Its selling, general, and administrative expenses are $700,000 and its research and development is $1 million. It has annual...
-
1. Create a new schema (user) with name and password of your choosing. (5 points) 2. At least four (4) tables must be created in the database with the minimum of four (4) columns in each table....
-
ion list stion 1 stion 2 stion 3 Data table K Grandma's Bakery mass-produces bread using three sequential processing departments: Mixing, Baking, and Packaging. The following transactions occurred...
Study smarter with the SolutionInn App