The wave functions of a particle in a one-dimensional infinite square well are given by Equation 6-32.
Question:
The wave functions of a particle in a one-dimensional infinite square well are given by Equation 6-32. Show that for these functions ∫Ψn(x)Ψm(x) dx = 0, that is, that Ψn(x) and Ψm(x) are orthogonal.
Transcribed Image Text:
4, (x) = 2 -sin- VL IWX L n = 1, 2, 3, ... 6-32
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 76% (13 reviews)
Using the identity 2sin A sin B cosAB cosAB the integrand be...View the full answer
Answered By
Ashington Waweru
I am a lecturer, research writer and also a qualified financial analyst and accountant. I am qualified and articulate in many disciplines including English, Accounting, Finance, Quantitative spreadsheet analysis, Economics, and Statistics. I am an expert with sixteen years of experience in online industry-related work. I have a master's in business administration and a bachelor’s degree in education, accounting, and economics options.
I am a writer and proofreading expert with sixteen years of experience in online writing, proofreading, and text editing. I have vast knowledge and experience in writing techniques and styles such as APA, ASA, MLA, Chicago, Turabian, IEEE, and many others.
I am also an online blogger and research writer with sixteen years of writing and proofreading articles and reports. I have written many scripts and articles for blogs, and I also specialize in search engine
I have sixteen years of experience in Excel data entry, Excel data analysis, R-studio quantitative analysis, SPSS quantitative analysis, research writing, and proofreading articles and reports. I will deliver the highest quality online and offline Excel, R, SPSS, and other spreadsheet solutions within your operational deadlines. I have also compiled many original Excel quantitative and text spreadsheets which solve client’s problems in my research writing career.
I have extensive enterprise resource planning accounting, financial modeling, financial reporting, and company analysis: customer relationship management, enterprise resource planning, financial accounting projects, and corporate finance.
I am articulate in psychology, engineering, nursing, counseling, project management, accounting, finance, quantitative spreadsheet analysis, statistical and economic analysis, among many other industry fields and academic disciplines. I work to solve problems and provide accurate and credible solutions and research reports in all industries in the global economy.
I have taught and conducted masters and Ph.D. thesis research for specialists in Quantitative finance, Financial Accounting, Actuarial science, Macroeconomics, Microeconomics, Risk Management, Managerial Economics, Engineering Economics, Financial economics, Taxation and many other disciplines including water engineering, psychology, e-commerce, mechanical engineering, leadership and many others.
I have developed many courses on online websites like Teachable and Thinkific. I also developed an accounting reporting automation software project for Utafiti sacco located at ILRI Uthiru Kenya when I was working there in year 2001.
I am a mature, self-motivated worker who delivers high-quality, on-time reports which solve client’s problems accurately.
I have written many academic and professional industry research papers and tutored many clients from college to university undergraduate, master's and Ph.D. students, and corporate professionals. I anticipate your hiring me.
I know I will deliver the highest quality work you will find anywhere to award me your project work. Please note that I am looking for a long-term work relationship with you. I look forward to you delivering the best service to you.
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Physics questions
-
The stationary-state wave functions of a particle in a three-dimensional rectangular box are eigen functions of which of these operators? (a) px; (b) p2x; (c) p2z; (d) x. For each of these operators...
-
The equation of motion of a particle in vertical SHM is given by y = (10 cm) sin [(0.50 rad/s)t]. What are the particles (a) Displacement, (b) Velocity, and (c) Acceleration at t = 1.0s?
-
The potential energy of a particle in a certain field has the form U = a/r2 - b/r, where a and b are positive constants, r is the distance from the centre of the field. Find: (a) The value of ro...
-
Product Strategy Duff has always followed a level production strategy because Duff prefers not to fire and hire employees. Management is open to change if there is enough of a cost benefit for the...
-
Black Co.s breakeven point was $780,000. Variable expenses averaged 60% of sales, and the margin of safety was $130,000. What was Blacks contribution margin ? a. $364,000 b. $546,000 c. $910,000 d....
-
For each of the following pairs of variables, pull the data from the St. Louis Federal Reserve FRED database and create a scatterplot graph of the two variables using Excel. For each pair, name the...
-
Consider a stock price \(S\) governed by the geometric Brownian motion process (a) Using \(\Delta t=1 / 12\) and \(S(0)=1\), simulate several (i.e., many) years of this process using either method,...
-
Spears was seeking employment and negotiating both with Amazon.com and with a firm called Intelligrated. Amazon made 2 offers to Spears which he rejected, because he believed they did not pay enough,...
-
Assume an investor buys a put option on XYZ stock with a strike price of $100 for $6 when the stock is trading for $97. What is the investor's maximum possible loss?
-
Petersen Pneumatic Company produces three products, nicknamed as Tiger, Panther, and Jaguar. Its manufacturing plant in Amazon City has three production departments and three service departments....
-
An electron is in the ground state with energy E n of a one-dimensional infinite well with L = 10 -10 m. Compute the force that the electron exerts on the wall during an impact on either wall.
-
Using arguments concerning curvature, wavelength, and amplitude, sketch very carefully the wave function corresponding to a particle with energy E in the finite potential well shown in Figure 6-33....
-
Kathleen Taylor is a freshman at Roanoke College, and she wants to develop her schedule for the spring semester. Courses are offered with class periods either on Monday and Wednesday or Tuesday and...
-
Because most diesels use almost identical fuel systems mostly made by one manufacturer, the output hardware does not vary significantly. The PCM uses a combination of signals and electrical impulses...
-
1. Stamping roller used to stamp the dough according to the pattern. Can you provides the reasons why stamping roller uses stainless steel for material selection in term of manufacturing processes....
-
With in-text citations and references, what is a comprehensive aircraft maintenance program? what are the requirements for establishing a comprehensive aircraft maintenance program? What is the...
-
What are four [4] functions of powertrain control module (PCM) in electronic compression ignition engine management system?
-
Command and monitoring sensors and switches used by EUI-fuelled engines do not vary much between the various manufacturers. An EUI-fuelled engine requires one of two different types of throttle...
-
Can the obligations of a contract be discharged for impossibility or impracticability when the subject matter of the contract is for the purchase of pollution credits and the party intending to sell...
-
Nike manufactures shoes and sportswear. How has the Internet changed the way this company communicates with its suppliers and retail customers?
-
A bicycle wheel is rotating at 50 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.50 rad / s2. a. What is the wheels angular velocity, in rpm, 10 s...
-
A bicycle wheel is rotating at 50 rpm when the cyclist begins to pedal harder, giving the wheel a constant angular acceleration of 0.50 rad / s2. a. What is the wheels angular velocity, in rpm, 10 s...
-
Starting from rest, a DVD steadily accelerates to 500 rpm in 1.0 s, rotates at this angular speed for 3.0 s, then steadily decelerates to a halt in 2.0 s. How many revolutions does it make?
-
A long jumper leaves the ground at an angle of 17 above the horizontal, at a speed of 10 m/s. The height of the jumper can be modeled b h(x)=-0.046x+0.365x, where h is the jumper's height in meters...
-
Simplify the following expression in terms of fractional exponents. *(9x)5
-
Let P: R4 R4 be the orthogonal projection onto the hyperplane W = {(x, y, z, t) | x y + 2t = 0} (That is, the projection parallel to the normal vector (1, -1, 0,2).) Find the matrix ME(P) of the...
Study smarter with the SolutionInn App