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PATH INTEGRAL QUANTIZATION OF SELF INTERACTING SCALAR FIELD WITH HIGHER DERIVATIVES

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Abstract: Scalar field systems containing higher derivatives are studied and quan- tized by Hamiltonian path integral formalism. The purpose of this paper is to apply the new ideal “velocities have to be taken as independent canonical variables” [5] to extending the method to self-interacting scalar field containing higher derivatives.. The paper is organized as follows: Section II presents the application...

CHAPTER VII Static Electric Field

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Physics 211: Lecture 1, Pg 1. Physics 211: Lecture 1, Pg 3. Static Electric Field Static Electric Field. Electric field and electric field vector. Physics 211: Lecture 1, Pg 5. ¾ The principle of conservation of charge: “The algebraic sum of all the electric charges in any closed systeme is constant”. Physics 211: Lecture 1, Pg 7. Physics 211: Lecture...

Chapter VIII Dielectrics

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1/29/2008 1. 1/29/2008 2. Piezoelectric effect. 1/29/2008 3. We have known how can describe the electric field in vacuum.. How is the electric field in a matter environment?. 1/29/2008 4. 1.1 Effects with dielectrics in an electric field:. One might at first believe that there should be no effect with dielectrics in respond to an electric field. A simple experiment...

CHAPTER XI Electromagnetic Induction

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Induced electromotive force and induced electric fields. Mutual inductance and self-inductance. Magnetic field energy. In the previous chapter we know that:. current magnetic field. changing magnetic field current. Inside the shaded region, there is a magnetic field into the board.. If the loop is stationary, the. (c) No Current Now the loop is pulled to the right at a velocity...

Chapter XII Magnetic materials

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Atomic magnetic moment - Bohr magneton. Investigation of the magnetic properties of materials is very important, because magnetic phenomena have various scientific and technical applications.. The macroscopic properties of matter are a manifestation of the microscopic properties of the atoms of which it is composed.. The magnetic properties of materials may be very different for types of material, depending on...

Chapter XIII Electromagnetic Oscilation, Eletromagnetic Field and Wave

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System of Maxwell’s equations. Maxwell’s equations and electromagnetic waves. Electromagnetic fields can propagate in the space (vacuum or material environment). We call them electromagnetic waves. There is a qualitative difference in the time development of the currents produced in these two cases. In the RC circuit, any current developed will cause energy to be dissipated in the resistor.. In the...

Chapter XIV Kinetic-molecular theory of gases – Distribution function

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Kinetic–molecular model of an ideal gas. We will know that the thermal phenomena are determined by internal motions of molecules inside a matter. There exists a form of energy which is called thermal energy, or “heat”, which is the total energy of all molecular motions, or internal energy.. First we consider an modelization of gas: “ideal gas”.. Kinetic–molecular model of...

Chapter XV The First Law of Thermodynamics

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The First Law of Thermodynamics. Heat, work and paths of a thermodynamic process. The first law of thermodynamics. Kinds of thermodynamic processes. Thermodynamic processes for an ideal gas. For a system with volume held constant, the effect of heat is to change the temparature of a system.. In general cases, for a system there exist, at the same time, transfer...

Chapter XVIII Diffraction of light

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“Diffraction” of light can be understood as any deviation of light rays from their geometrical propagation line (that is straight in a homogeneuos material). Some light appears in the geometrical shadow, and there are dark. and light fringers in the area of illumination.. circular aperture. 1.1 Diffraction through a circular aperture:. in the screen must be a light circular dick...

Chapter XIX Polarization of light

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Polarization of light Polarization of light. Natural and polarized light. Study of polarization of light makes clear that. Natural and polarized light:. Natural (unpolarized) light ray. The light waves emitted by any individual molecule can be linearly polarized (definite in direction),. but any natural light source consists of a very large number of molecules with random orientation → natural light...

Quantum Physics

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Wave phenomena of light:. Interference of light Interference of light. Interference of coherent sources of light. Interference of light from coherent sources:. We consider an overlap of light that comes from two sources.. Two sources have the same frequency f (the same wave length. 1.1 Coherent sources of light:. Common sources of light do not emit monochromatic light (single-frequency light)....

Chapter XX Quantum theory of light

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Quantum theory of light Quantum theory of light. Blackbody radiation. Planck’s theory of radiation. Einstein’s theory of light. At the end of the 19-th century, physics was at its most confidence situation. Classical phyics, as formulated in Newton’s law of mechanics and Maxwell’s theory of electromagnetism, have proved very successful in solving every problem.. But then it came as a...

Chapter XXI Quantum Mechan

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The wave nature of particles. The Heisenberg Uncertainty Principle. The wave-particle duality of matter is the fundamental concept of modern physics. Newton’s classical physics should be replaced by the new mechanics which is able to describe the wave nature of particles. The wave nature of particles:. In 1923, de Broglie put a simple, but extremely important idea which initiated the...

Chapter XXII Atomic Structure

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Hydrogen atom. Angular momentum of electron. concentrated in a small region of the atom a nucleus!. As the electron moves in its circular orbit,. Hydrogen atom:. 1.1 Potential energy of the electron Potential energy of the electron in the hydrogen atom. in the hydrogen atom:. between the electron &. The origin of coordinate system is at the center of mass...

Chapter XXIV Crystalline Solids

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Discrete atomic states  band of crystal states  Fill according to Pauli Principle. Number of Bloch states. N = total number of. Partially filled band  good conductor. Total number of atoms = N. Total number of electrons =14N Fill the Bloch states. Total number of electrons = 14N Fill the Bloch states. Semiconductor: number n of free. band...

Chapter XXV Quantum Generators

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GENERAL PHYSICS III GENERAL PHYSICS III. Chapter XXV Chapter XXV. Quantum Generators Quantum Generators. Principle of light amplification. Properties of laser beams. R adiation Quantum generators are. light sources that work by a special principle of light amplification. §1.Principle of light amplification:. Atoms absorb light (photon) and transist from a lower to higher (exited) energy levels. 1.1.2 Spontaneous emission:. The...

Physics exercises_solution: Chapter 01

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10 3.33 s 10 33 . s 3 m 10 3.00. 3 km 1.609. 60  10 3 g. 16  10 7 s  π  10 7 s s. cm 5.10 . 0 = 0.20% and 0.01 1.9 cm cm = 0.53%.. (two significant figures) and the uncertainty in the volume, found from the extreme values of the...

Physics exercises_solution:Chapter 02

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and so the magnitude of the average velocity is. 2.2: a) The magnitude of the average velocity on the return flight is . 40.0 s and the westward run takes. b) The first stage of the journey takes 8.0 240 m m s  30 s and the second stage of the journey takes. 11.4 c) The first case (part...

Physics exercises_solution: Chapter 03

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in terms of the parameters, this time is 2 b 3 c. (3.18) with y  0 , v 0 y  0 and t  0 . b) The bomb’s constant horizontal velocity will be that of the plane, so the bomb travels a horizontal distance x  v x t. c) The bomb’s horizontal component of velocity is...

Physics exercises_solution: Chapter 04

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4.1: a) For the magnitude of the sum to be the sum of the magnitudes, the forces must be parallel, and the angle between them is zero. b) The forces form the sides of a right isosceles triangle, and the angle between them is 90 . 0 , and the forces are perpendicular. c) For the sum to have 0...