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Exact diagonalization analysis of quantum dot helium for
Exact diagonalization analysis of quantum dot helium for

... Hamiltonian of quantum dot helium in the basis functions of FockDarwin eigenstates.  We obtained the ground level energy and angular momentum for different values of Coulomb correlation and magnetic field.  Our results show that in absence of magnetic field, or in absence of Coulomb interaction th ...
Read more here - Celebration Publications
Read more here - Celebration Publications

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Cosmological Structure Formation A Short Course
Cosmological Structure Formation A Short Course

... state -- inflation wipes out this initial state. • Small scale quantum fluctuations in the vacuum “stretched out” by exponential expansion -- form the seeds of the primordial density perturbations. • Can quantify the “amount” of inflation in terms of the number of e-foldings it leads to ...
Quantum Mechanics: Vibration and Rotation of Molecules
Quantum Mechanics: Vibration and Rotation of Molecules

... Aside: Though we will not consider the following in terms of reduced mass for an oscillator (or rigid rotor when considering angular momentum), we present here the reduced mass for reference. Reduced mass is the effective inertial mass appearing in the two-body problem of Newtonian mechanics. This i ...
Lecture Notes, Feb 24, 2016
Lecture Notes, Feb 24, 2016

... wavelength and shape of the wave. However, Schr”odinger wave function is not a “real” quantity. In other words, unlike water or sound or even electro-magnetic waves, matter waves are not described by ordinary real numbers. Since it is not real , called complex number, we cannot determine the shape o ...
学术报告
学术报告

Consequences for the Current-Density-Functional
Consequences for the Current-Density-Functional

... the fields of solid state-, atomic and molecular-physics. A frequently used approach to solve this problem is density-functional-theory (DFT). To study the properties of manybody systems in a magnetic field, extensions like spin-densityfunctional-theory (SDFT), current-density-functional-theory (CDF ...
Introduction to Quantum Field Theory
Introduction to Quantum Field Theory

Fall 2010
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... Quantum mechanics provides a mathematical description of the behavior and interactions of very small particles that are not correctly described by classical mechanics. This course is designed to provide students with the knowledge, theoretical background and mathematical tools to understand theoreti ...
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Materiality: Is It Real?

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Folds, Bosonization and non-triviality of the classical limit of 2D

... expects that a matter wave with sufficient energy and energy density will collapse and a black hole will be formed. The matrix model should describe this classical process. However, since the graviton and dilaton are not present as explicit fields in the matrix model, collapse would be signalled by ...
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... 1. Ignores a detailed consideration of molecules as individuals. 2. Is a Microscopic, statistical approach to calculation of Macroscopic quantities. 3. Applies the methods of Probability & Statistics to Macroscopic systems with HUGE numbers of particles. ...
Exercises in Statistical Mechanics
Exercises in Statistical Mechanics

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Variation of the Gravitational Constant and its Consequences

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MODERN QUANTUM THEORY

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Quantum Information in the Framework of Quantum Field Theory

... With this new gauge invariant formulation, it becomes indeed possible to define different species of quantum information. One is still a system described by quantum mechanics as in nowadays existing quantum information. Other would consist in selecting a framework based on quantum field theory which ...
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... The Schramm-Loewner evolution (SLE) is the canonical model of a non-crossing conformally invariant random curve, introduced by Oded Schramm in 1999 as a candidate for the scaling limit of loop erased random walk and the interfaces in critical percolation. The development of SLE has been one of the m ...
Exam #: Printed Name: Signature: PHYSICS
Exam #: Printed Name: Signature: PHYSICS

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... The postulates of quantum mechanics (This is the writeup for Dry-lab-II)( This lecture has covered (briefly) postulates 1-2)(You are not expected to understand even postulates 1 and 2 fully after this lecture) The Development of Classical Mechanics ...
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Sect. 7.9

... – Could have H  E, but also have energy E conserved. – For example: In a conservative system, using generalized coordinates which are in motion with respect to fixed rectangular axes: the Transformation eqtns will contain the time  T will NOT be a homogeneous, quadratic function of the generalize ...
Slides from Lecture 9-11
Slides from Lecture 9-11

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Scalar field theory

In theoretical physics, scalar field theory can refer to a classical or quantum theory of scalar fields. A scalar field is invariant under any Lorentz transformation.The only fundamental scalar quantum field that has been observed in nature is the Higgs field. However, scalar quantum fields feature in the effective field theory descriptions of many physical phenomena. An example is the pion, which is actually a pseudoscalar.Since they do not involve polarization complications, scalar fields are often the easiest to appreciate second quantization through. For this reason, scalar field theories are often used for purposes of introduction of novel concepts and techniques.The signature of the metric employed below is (+, −, −, −).
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