A particle is confined to a two-dimensional box defined by the following boundary conditions: U(x,y) = 0
Question:
A particle is confined to a two-dimensional box defined by the following boundary conditions: U(x,y) = 0 for –L/2 ≤ x ≤ L/2 and –3L/2 ≤ y v 3L/2; and U(x,y) = ∞ elsewhere.
(a) Determine the energies of the lowest three bound states. Are any of these states degenerate?
(b) Identify the lowest doubly degenerate bound state by appropriate quantum numbers and determine its energy.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 78% (14 reviews)
a The energy levels are the same as for a twodimen...View the full answer
Answered By
Sumit kumar
Education details:
QUATERNARY Pursuing M.Tech.(2017-2019) in Electronics and Communication Engg. (VLSI DESIGN) from
GNIOT Greater Noida
TERTIARY B.Tech. (2012-2016) in Electronics and Communication Engg. from GLBITM Greater Noida
SECONDARY Senior Secondary School Examination (Class XII) in 2012 from R.S.S.Inter College, Noida
ELEMENTARY Secondary School Examination (Class X) in 2010 from New R.J.C. Public School ,Noida
CERTIFICATION
Summer Training in ‘WIRELESS EMBEDDED SYSTEM’ from ‘XIONEE’ for the six weeks.
EMBEDDED SYSTEM Certificate issued by CETPA INFOTECH for one day workshop.
Certificate of Faculty development program on OPTICAL COMMUNICATION and NETWORKS for one week.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Fundamentals of Ethics for Scientists and Engineers
ISBN: 978-0195134889
1st Edition
Authors: Edmund G. Seebauer, Robert L. Barry
Question Posted:
Students also viewed these Light and Optics questions
-
A particle is confined to the one-dimensional infinite potential well of figure. If the particle is in its ground state, what is its probability of detection between?(a) x = 0 and x = 025L,(b) x =...
-
A particle is confined to a 1.0-nm-wide infinite square well. If the energy difference between the ground state and the first excited state is 1.13 eV, is the particle an electron or a proton?
-
A particle is confined to a one-dimensional box. In making a transition from the state n to the state n 1, radiation of 114.8 nm is emitted; in the transition from the state n 1 to the state n 2,...
-
A strain of E-coli Beu 397-recA441 is placed into a nutrient broth at 30° Celsius and allowed to grow. The data shown in the table are collected. The population is measured in grams and the time...
-
Mini Pearl owns Mini's Miniatures, a store that deals in "life's little things." Items sold range from Bonsai trees to miniature paintings to doll furniture. Mini believes that 30% of any month's...
-
You have been assigned to manage software that controls the shutdown of the new chemical reactors to be installed at a manufacturing plant. Your manager insists the soft-ware is not safety critical....
-
Cite various Solution Space tools that enable a homeowner to leverage their time, resources, and skills to maintain their lawn.
-
Single-rate versus dual-rate methods, support department. The Chicago power plant that services all manufacturing departments of MidWest Engineering has a budget for the coming year. This budget been...
-
Refer to the three proposals that the company was considering to assist the previously disadvantaged women and answer each of the questions independently. (You are advised to use the expanded...
-
In Problem 42, KanTech Corporation is just as concerned that its U.S. distributors receive shipments in the minimum amount of time as they are about minimizing their shipping costs. Suppose that each...
-
Eight identical non interacting fermions (such as neutrons) are confined to a two-dimensional square box of side length L. Determine the energies of the three lowest states.
-
A particle moves in a potential given by U(x) = A|x|. Without attempting to solve the Schrdinger equation, sketch the wave function for (a) The ground-state energy of a particle inside this potential...
-
Use as many directional terms as you can to describe the relationship between the elbow's olecranal region and your palm.
-
How do file systems in advanced operating systems ensure data integrity, fault tolerance, and efficient storage allocation through techniques such as journaling, RAID, and copy-on-write mechanisms ?
-
How do contemporary operating systems employ virtual memory techniques, such as demand paging and page replacement algorithms, to optimize memory utilization and support large-scale applications ?
-
Vanessa Kaiser and Mariah Newman decide to form a partnership by combining the assets of their separate businesses. Kaiser contributes the following assets to the partnership: cash, $21,440; accounts...
-
Write a function that takes an array of integers and returns the length of the longest increasing subsequence.
-
Write a class that implements a binary search tree (BST) with methods for insertion, search, and in-order traversal .
-
Within the context of Exercise 1, let \(\|X\|_{r}\) be defined for \(X \in X_{r}\) as \[\|X\|_{r}=\left[\int_{\Omega}|X(\omega)|^{r} d P(\omega)ight]^{1 / r}\] Prove that \(\|X\|_{r}\) is a norm....
-
Chloroplasts are illuminated until the levels of the Calvin cycle intermediates reach a steady state. The light is then turned off. How does the level of RuBP vary after this point?
-
Solve the Initial Value Problem. dy dt te", y(1) = 0 = = y
-
A relativistic particle with charge q and rest mass mo moves along a circle of radius r in a uniform magnetic field of induction B. Find: (a) The modulus of the particle's momentum vector; (b) The...
-
Up to what values of kinetic energy does the period of revolution of an electron and a proton in a uniform magnetic field exceed that at non-relativistic velocities by r I = 1.0%?
-
An electron accelerated by a potential difference V = 1.0 kV moves in a uniform magnetic field at an angle a = 30 to the vector B whose modulus is B = 29 mT. Find the pitch of the helical trajectory...
-
Wildhorse Manufacturing incurs $82,900 of direct labour costs. Supporting records show that the assembly department used $47,500 of the direct labour and the finishing department used the remainder....
-
Explain and contrast unique ( individual , unsystematic ) risk of a firm and market ( systematic ) risk. Explain how unique risk and market risk can be measured.
-
Carmen Camry operates a consulting firm called Help Today, which began operations on December 1. On December 31, the company's records show the following selected accounts and amounts for the month...
Study smarter with the SolutionInn App