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Topological Insulators
Topological Insulators

... passage of time; this can be regarded as the dynamical phase factor. The remarkable and rather mysterious result of this paper is in addition the system records its history in a deeply geometrical way.” – Berry 1984 ...
Some possible consequences of the HUGE magnetic fields
Some possible consequences of the HUGE magnetic fields

by TG Skeggs © July 13, 2003
by TG Skeggs © July 13, 2003

... create a check or square interference pattern measured in Planck units. But due to the Helmholtz coils being wired to produce a rotating magnetic field, the resulting interference pattern would appear as a mixture of the 2 light and dark fringes. This is a result of vorticity which describes the ten ...
Fields/Forces
Fields/Forces

Some of my Demonstrations in Class
Some of my Demonstrations in Class

Document
Document

[ ] ò
[ ] ò

... from a long straight wire, which carries a current I. a) Find the magnetic flux through the loop. b) If the current in the wire varies as I (t ) = I 0 e - at , where I 0 and a are constants, determine the emf induced in the loop. 3. (20 pts) Consider charging up an inductor L, by connecting it and a ...
These notes are meant to finish class on 28 January... force on an electric dipole in a non-uniform electric field...
These notes are meant to finish class on 28 January... force on an electric dipole in a non-uniform electric field...

... Interestingly the force on the dipole can be written in terms of the gradient of the potential energy, that is F(x) = −∇U (x) = ∇ [p · E(x)] which doesn’t quite look like the equation above. However, the two expressions are exactly equivalent. See Exercise 7 in Chapter 2 of your textbook for an expl ...
Q1. In Figure 1, three positively charged particles form a right angle
Q1. In Figure 1, three positively charged particles form a right angle




... [8 points] How much work is necessary to move charge q'=1.5¹C from point M to point N (Note: you can get the answer with a detailed calculation or with a simple geometry argument)? Both points M and N are at the same distance from the charges q and −q and the contributions from these charges to V M ...
here
here

11. Sources of Magnetic Fields
11. Sources of Magnetic Fields

... Recall that the unit of magnetic field is Tesla (T ) and that of current is Ampere (A). 1. This constant µ0 is similar to the electric permittivity of the vaccum, 0 . But it is not the same thing. Also, just to make our life complicated, the constant µ0 appears in the numerator here while 0 is in ...
11. Sources of Magnetic Fields
11. Sources of Magnetic Fields

Functionalized molecule-based magnetic materials
Functionalized molecule-based magnetic materials

Unit B Review Package
Unit B Review Package

Micky Holcomb Condensed Matter Physicist
Micky Holcomb Condensed Matter Physicist

Physics 1425: General Physics I
Physics 1425: General Physics I

Teaching ideas for Topic 5: Electricity and magnetism, Core
Teaching ideas for Topic 5: Electricity and magnetism, Core

Chapter 19
Chapter 19

B - Galileo and Einstein
B - Galileo and Einstein

Magnetic Force on a Current
Magnetic Force on a Current

...  Magnetic force acts on individual moving charges  The force depends on the velocity of the charge ...
PHY 113, Summer 2007
PHY 113, Summer 2007

Exam 1 Coverage
Exam 1 Coverage

... The first exam will be on Friday afternoon, 24 June, from 2.00-4.00 p.m. In JFB 103. You may use a calculator and one ordinary sheet of paper (both sides) with notes and formulas. Problem 1 (a) Similar to Problem 1 in the WebAssign HW Set 1: two electric charges suspended by light strings and in equ ...
CHAPTER 2 Introduction to Quantum Mechanics
CHAPTER 2 Introduction to Quantum Mechanics

... • The behavior and characteristics of electrons in a semiconductor can be described by the formulation of quantum mechanics called wave mechanics. The essential elements of this wave mechanics, using Schrodinger’s wave equation. • Discuss a few basic principles of quantum mechanics that apply to sem ...
Questions having one mark each: Write the S.I unit of i. electric field
Questions having one mark each: Write the S.I unit of i. electric field

... a. Two point charges, q1 =10×10-8 C and q2 = -2×10-8 C are separated by a distance of 60 cm in air. i. Find at what distance from the 1st charge, q1, would the electric potential be zero. ii. Also calculate the electrostatic potential energy of the system. b. Two capacitors of capacitance 6µF and 12 ...
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Aharonov–Bohm effect

The Aharonov–Bohm effect, sometimes called the Ehrenberg–Siday–Aharonov–Bohm effect, is a quantum mechanical phenomenon in which an electrically charged particle is affected by an electromagnetic field (E, B), despite being confined to a region in which both the magnetic field B and electric field E are zero. The underlying mechanism is the coupling of the electromagnetic potential with the complex phase of a charged particle's wavefunction, and the Aharonov–Bohm effect is accordingly illustrated by interference experiments.The most commonly described case, sometimes called the Aharonov–Bohm solenoid effect, takes place when the wave function of a charged particle passing around a long solenoid experiences a phase shift as a result of the enclosed magnetic field, despite the magnetic field being negligible in the region through which the particle passes and the particle's wavefunction being negligible inside the solenoid. This phase shift has been observed experimentally. There are also magnetic Aharonov–Bohm effects on bound energies and scattering cross sections, but these cases have not been experimentally tested. An electric Aharonov–Bohm phenomenon was also predicted, in which a charged particle is affected by regions with different electrical potentials but zero electric field, but this has no experimental confirmation yet. A separate ""molecular"" Aharonov–Bohm effect was proposed for nuclear motion in multiply connected regions, but this has been argued to be a different kind of geometric phase as it is ""neither nonlocal nor topological"", depending only on local quantities along the nuclear path.Werner Ehrenberg and Raymond E. Siday first predicted the effect in 1949, and similar effects were later published by Yakir Aharonov and David Bohm in 1959. After publication of the 1959 paper, Bohm was informed of Ehrenberg and Siday's work, which was acknowledged and credited in Bohm and Aharonov's subsequent 1961 paper.Subsequently, the effect was confirmed experimentally by several authors; a general review can be found in Peshkin and Tonomura (1989).
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