Problems on Hydrogen Atom and Atomic Orbitals
What is the Schrdinger equation for hydrogen atom?
Write out energy of the Hydrogen atom.
Write out energy of the Hydrogen atom in the unit of hartree.
What is the potential energy of the hydrogen atom?
What i
Section A
December 30, 2010
EP 341 Quantum Physics Exam-2;
Time Interval: 17:00-18:30
Name Surname:
ID No:
Lecturer: Prof. Dr. Ramazan Ko
01 02 03 04 05 06 Total
Question 1. Match the observable/quantity/system with the operator, eigenfunctions, eigenvalu
Commutator Algebra
Here we illustrates commutator algebra using one dimensional quantum systems. When we
work with the Schrdinger Equation or in any other formulation of Quantum Mechanics,
exact values of properties can not be used. Instead we use operato
Solved Problems
1. (a) What is the size of an atom?
(b) What is the velocity of an electron in the first Bohr orbit of an Hydrogen atom?
Solution
a) You can estimate size of an atom as
Or you can calculate Bohr radius that gives size of an atom:
quantizat
Problems on Simple Harmonic Oscillator
1.
2.
3.
4.
5.
6.
7.
Write out energy of the one dimensional Harmonic oscillator.
Write out energy of the three dimensional Harmonic oscillator.
Write out energy of the Harmonic Oscillator in spherical coordinate.
Wr
CHEM 133 Homework #6 (due 05/16/2014)
1. For the hydrogen atom
(a) What is the average value of the electron-nucleus separation in
the 1s and 2s states of a hydrogen atom?
(b) What is the most probable electron-nucleus distance for 1s and 2s
states?
2. By
CENG 122
Separation Processes
Designation: Required course
Catalog Data:
CENG 122 Separation Processes (4)
Principles of analysis and design of systems for separation of components from a mixture. Topics will include staged
operations (distillation, liqui
Fluid Mechanics 2 (U00469)
SEMESTER 1
LECTURER
Dr Robin Wardlaw
NO OF LECTURES
18 x 1hr lectures
8 x 1hr tutorials
2 x 3hr labs
Summary
The course is taught to Chemical, Civil and Mechanical Engineering students. It forms a first course in fluid
mechanics
Winter 2013
Welcome to
INTRODUCTION TO
NANOENGIEERING
NANO 101
Joseph Wang, Dept of Nanoengineering
UCSD
E-mail: [email protected]
(From the Syllabus) NANO 101- INTRODUCTION TO NANOENGINEERING
Nanotechnology has become one of the most exciting forefront
Course finder
Use our course finder to browse courses available for visiting students at the University of Edinburgh.
Course details
Semester 1
Separation Processes 2 (CHEE08013)
Subject Area
Chemical
Credits
10
Course level
SCQF Level 8 (Year 2 Undergrad
Operators Commutators in Quantum Physics
In this section we will investigate application of the operators in quantum physics. An
operator is defined as a rulet hat transform a given function into another function. For
example a differential operator trans
Quantumwell problems
This is a Mathematica program, presented for quantum mechanical calculus. This first section include analysis of potential
well and barrier problems. Quantum well systems are particularly play important role in optoelectronics, and ar
Foundations of Quantum Mechanics*
The whole of quantum mechanics can be expressed in terms of a small set of postulates. This
chapter introduces the postulates and illustrates how they are used.
Postulates of Quantum Mechanics
Now we turn to an applicatio
Problems on Postulates, square potentials, observables and
commutators
1. 1st postulates of quantum mechanics state that Each physical system is described by a
state function which determines all can be known about the system. What is the
fundamental beha
Problems on Angular momentum
1. Find Earth angular momentum using Earth-Sun distance and mass of Earth? (Earth Sun distance
m, Mass of the Earth
kg)
Solution
For an orbit, angular momentum is conserved, and this leads to one of Kepler's laws. For a
circul
Mixed Problems
1. Hydrogen Atom
a. Using Bohrs theory calculate energy of the electron in the Hydrogen atom?
b. Is energy quantized? Explain.
c. Is kinetic energy quantized? Explain.
d. Is potential energy quantized? Explain.
e. Is radius quantized? Expla
Section A
November 11, 2010
EP 341 Quantum Physics Exam-1;
Name:
ID No:
Lecturer: Prof. Dr. Ramazan Ko
Time Interval: 17:00-18:30
01 02 03 04 05 06 07 08 Total
Questions 1-3-4-5 are 15 points and 2-6-7-8 are 10 points.
Hints:
;
Figure 1
;
;
;
;
Barrier
We
Solved Problems
Dear students,
Second exam include
Postulates
Operators (some simple commutator algebra and application of ladder operators
and
.
Quantum numbers and degeneracy
Various one dimensional potentials (Harmonic oscillator problem, and the follo
Wave-Particle Duality
Particle Behavior of Wave
In the previous section we have discussed interaction between atomic oscillators and
electromagnetic wave. Plancks radical assumption was that the electromagnetic radiation
emitted or absorbed as quanta, wit
Bohr Atom
In 1911, Rutherford introduced a new model of the atom in which cloud of negatively charged
electrons surrounding a small, dense, positively charged nucleus. This model is result of
experimental data and Rutherford naturally considered a planeta
Uncertainty Principle
A conversation between Einstein and Heisenberg.
Heisenberg: "One cannot observe the electron orbits inside the atom. [.] but since it is
reasonable to consider only those quantities in a theory that can be measured, it seemed
natural
Problems and Questions
1. What is the size of a bacteria, a large molecule, atom, nucleus, electron and quark?
2. Describe electromagnetic spectrum.
3. Calculate the energy in electron volts of a photon having a wavelength in (a) the
microwave range, 5.00
Chapter 2: The Schrdinger equation and its applications*
Outline
2.1 Wave Functions of a Single Particle.
2.2 The Schrodinger Equation.
2.3 Particle in a Time-Independent Potential.
2.4 Probability Density and Probability Current.
2.5 Scalar Product of Wa
CHAPTER 2
PROBLEM SET 1
1. Show that, after separating variables, time dependent Schrdinger equation
takes the form
2. Schrdingers cat in the in the infinite well. The well include electrons whose wave
function described by Schrdinger equation. At an inst