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Lecture Notes
Lecture Notes

... • What about nonclassical states? • Their Wigner functions typically have finer features than W0() • The P-function exists only in the generalized sense ...
E4. Free Fall
E4. Free Fall

... −k x : harmonic oscillator at a very early point in his/her education, and with the first & last of those systems we are never done: they are—for reasons having little to do with their physical importance—workhorses of theoretical mechanics, traditionally employed to illustrated formal developments a ...
Quantum Error-Correction Codes on Abelian Groups
Quantum Error-Correction Codes on Abelian Groups

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... interactions) while treating the electron-lattice vibrations interaction using the standard quantum mechanical “tight-binding” approximation. Interaction between the lattice and the electrons arises (as in the polaron) due to the dependence of the electron transfermatrix elements on the relative, ti ...
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... •Field thus points toward a negative charge and away from a positive charge •If there are two or more charges creating the field then the field at any point is the vector sum of the fields created by each of the charges •The test charge does not contribute to the field and it is too weak to cause an ...
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lecture_5 - Biman Bagchi
lecture_5 - Biman Bagchi

... Before going into the limitation of the theory, we would like to point out one important feature of the above equation. The equation predicts that CV is the same function for all the substances if it is plotted against the reduced temperature T/ΘE. When this happens, we can say that CV is a universa ...
General formula of effective potential in 5D SU(N) - www
General formula of effective potential in 5D SU(N) - www

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quantum mechanics from classical statistics

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Quantum fluctuations and thermal dissipation in higher derivative

... and the boundary is located at u → ∞. Eq. (6) is precisely the starting point of our analysis. It is interesting to note that in the extremal limit, the near horizon structure corresponding to the above class of charged black branes turns out to be AdS2 × R 3 which therefore suggests that holographi ...
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... to complete the cycle required proving that erasing the Demon’s memory is not dissipative, that is one needs to show that the so-called Landauer-Bennett thesis is mistaken. In our (2010, 2011, 2012, 2013, 2016) we provided this missing link. By this we have shown that classical mechanics does not ru ...
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Lecture 15 (Slides) September 28

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Advanced Chemistry - Forestville Middle

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MATH3385/5385. Quantum Mechanics. Handout # 5: Eigenstates of

... • the spectrum is partly discrete and partly continuous. In this mixed situation there are in the system bound states as well as scattering states. It can happen that we have different (i.e. independent) eigenfunctions for one and the same eigenvalue E: in that case we say that the corresponding “en ...
Halperin Presentation - National Academy of Sciences
Halperin Presentation - National Academy of Sciences

Fully quantum-mechanical model of a SQUID ring coupled to an
Fully quantum-mechanical model of a SQUID ring coupled to an

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View PDF - CiteSeerX

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... and make the vacuum (super)conducting. B. Reduction to 1+1 dimensions? Yes, we have this phenomenon: in a very strong magnetic field the dynamics of electrically charged particles (quarks, in our case) becomes effectively one-dimensional, because the particles tend to move along the magnetic field o ...
The principle of a finite density of information
The principle of a finite density of information

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Time-Independent Perturbation Theory Atomic Physics Applications 1 Introduction

... For many reasons it is important to understand the basic level-structure of atomic hydrogen. As the simplest atom, it is a good starting point to understand the various mechanisms at work inside atoms. Early atomic physics was focussed on measuring and explaining the various atomic spectra. In recen ...
Polarized excitons in nanorings and the optical Aharonov
Polarized excitons in nanorings and the optical Aharonov

... available semiconductor rings ⯝10–100 nm in diameter allow one to explore this interesting physics in readily attainable magnetic fields. We report here on a mechanism of phase difference acquired in a magnetic field by a composite and polarizable object with overall zero charge. Such neutral partic ...
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... Any time two systems interact and we discard information about one of them, this can be thought of as a measurement, whether or not either is macroscopic, & whether or not there is collapse. The von Neumann interaction shows how the two systems become entangled, and how this may look like random noi ...
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History of quantum field theory

In particle physics, the history of quantum field theory starts with its creation by Paul Dirac, when he attempted to quantize the electromagnetic field in the late 1920s. Major advances in the theory were made in the 1950s, and led to the introduction of quantum electrodynamics (QED). QED was so successful and ""natural"" that efforts were made to use the same basic concepts for the other forces of nature. These efforts were successful in the application of gauge theory to the strong nuclear force and weak nuclear force, producing the modern standard model of particle physics. Efforts to describe gravity using the same techniques have, to date, failed. The study of quantum field theory is alive and flourishing, as are applications of this method to many physical problems. It remains one of the most vital areas of theoretical physics today, providing a common language to many branches of physics.
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