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SELECTED TOPICS IN QUANTUM MECHANICS Pietro Menotti
SELECTED TOPICS IN QUANTUM MECHANICS Pietro Menotti

http://math.ucsd.edu/~nwallach/venice.pdf
http://math.ucsd.edu/~nwallach/venice.pdf

... since in practice the part of the universe that will have a real e¤ect on V is given by this tensor product. Now, the Hamiltonian HU will not preserve the tensor product structure. Thus, even though we are attempting to do only operations on states in V the environment will cause the states to chang ...
Adiabatic decoupling (2008) ocr
Adiabatic decoupling (2008) ocr

... Consider a standard problem in physical chemistry where a linear or spherical charged fragment interacts with a polarizable atom [20-23]. Let B denote the rotational constant of the fragment, j its rotational quantum number, the polarizability of the atom, q the electronic charge, and mred the reduc ...
Quantum Algorithms - UCSB Computer Science
Quantum Algorithms - UCSB Computer Science

... if we are allowed to use prior entanglement. Just as with quantum algorithms, it turns out that for specific situations, entanglement can save ...
A 2D Quantum Walk Simulation of Two
A 2D Quantum Walk Simulation of Two

Quantum gravity without gravitons in a superfluid quantum space.
Quantum gravity without gravitons in a superfluid quantum space.

Quantum Spins and Quantum Links: The D
Quantum Spins and Quantum Links: The D

Bohr`s Atomic Model and Paraconsistent Logic
Bohr`s Atomic Model and Paraconsistent Logic

... paper, it is possible to give a very simple interpretation of the results of calculations by help of symbols taken from ordinary mechanics” (ibid, p. 175, my emphasis). We see that Bohr, being convinced for “the inadequacy of the classical electrodynamics in describing the behavior of systems of at ...
30 The Nucleus - mrphysicsportal.net
30 The Nucleus - mrphysicsportal.net

Chemistry - Ysgol Bro Pedr
Chemistry - Ysgol Bro Pedr

... Particle Relative Mass Relative Charge Proton ...
Are Quantum Objects Propensitons
Are Quantum Objects Propensitons

... questions. Orthodox quantum theory (OQT) evades answering these questions by being a theory, not about quantum systems as such, but rather about the results of performing measurements on such systems.1 This state of affairs came about as follows. Bohr, Heisenberg, Dirac and the other creators of OQT ...
Some basic concepts of chemistry
Some basic concepts of chemistry

Edge States and Contacts in the Quantum Hall Effect
Edge States and Contacts in the Quantum Hall Effect

... The study of current carrying samples in magnetic fields has been of increasing interest to the scientific community ever since the discovery of the electromagnetism by H.C. Ørsted in 1820. In 1879, it was observed that a transverse voltage difference builds up, when a conducting sheet is placed in ...
Charged Particles are Prevented from Going
Charged Particles are Prevented from Going

Interaction- and measurement-free quantum Zeno gates for universal computation
Interaction- and measurement-free quantum Zeno gates for universal computation

... limited by information-destroying short-range interactions 共collisions兲. In order to avoid this limitation, one can use single isolated trapped atoms, which then requires a highfinesse optical resonator in the strong-coupling regime, and/or the use of highly nonclassical light pulses 关27兴. In cavity ...
charged particles are prevented from going faster than the speed of
charged particles are prevented from going faster than the speed of

... where dtproper and dtimproper are the proper duration and improper duration of time, respectively. According to the space-time interpretation of the Special Theory of Relativity, the force-acceleration relation is nonlinear because a moving particle experiences a constant force for a shorter duratio ...
The quantum world is not built up from correlations - Philsci
The quantum world is not built up from correlations - Philsci

Experiments with single photons
Experiments with single photons

... they are “classically”, can exhibit both “particle-like” and “wave-like” fluctuations. At the end of his 1905 article, Einstein moves finally to his initial motivation, which was to solve the mysteries on the photochemical and photoelectric effects by using the ligh quantum hypothesis. He can thus inte ...
Effect of an industrial chemical waste on the uptake
Effect of an industrial chemical waste on the uptake

... The present study was motivated by the need for partition functions of the molecule BC2, which plays an important role, e.g., in plasma processes that should lead to the synthesis of boron carbide, B4C. Since it was not possible to find either numerical data for the partition functions or spectrosco ...
Metric fluctuations and the weak equivalence principle
Metric fluctuations and the weak equivalence principle

... The unification of quantum mechanics and gravitation is one of the outstanding problems of contemporary physics. Though yet there is no theory of quantum gravity. However, approaches such as string theory or loop quantum gravity make some general predictions which may serve as guidance for experimen ...
The Quantum Hall Effect: Novel Excitations and Broken Symmetries
The Quantum Hall Effect: Novel Excitations and Broken Symmetries

... about 10−10 and an absolute accuracy of about 10−8 (both being limited by our ability to do resistance metrology). In 1982, Tsui, Störmer and Gossard discovered that in certain devices with reduced (but still non-zero) disorder, the quantum number ν could take on rational fractional values. This so ...
Quantum Mechanics - Nanyang Technological University
Quantum Mechanics - Nanyang Technological University

... Recently it has become possible to do experiments on the quantum vacuum using superconducting circuits. Both the electromagnetic quantum vacuum and the phononic quantum vacuum can be studied. Three different experiments carried out at mK temperatures and at microwave frequencies are described. First ...
Lecture notes - Valeev Group
Lecture notes - Valeev Group

... At the dawn of quantum mechanics physicists realized that not every partial differential equation nature has to offer can be solved analytically. Even the most fundamental equation of quantum mechanics, the Schrödinger equation, can be solved analytically only for very few systems. As Dirac put it ...
Derivation of the Lindblad Equation for Open Quantum Systems and
Derivation of the Lindblad Equation for Open Quantum Systems and

... Traditionally, the evolution within the framework of quantum mechanics (QM) focuses on the dynamics of microscopic particles. However, recently the mathematical formalism of QM started to be applied in cognitive science [44]-[70]. In classical game theory, the prisoner’s dilemma is a canonical examp ...
Superconducting Circuits and Quantum Computation
Superconducting Circuits and Quantum Computation

... high-speed, on-chip control circuitry with classical, high-speed superconducting electronics. The picosecond time scales of this electronics means that the superconducting qubits can be controlled rapidly enough that the qubits remain phase-coherent over the lifetime of the computation. Superconduct ...
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Hydrogen atom



A hydrogen atom is an atom of the chemical element hydrogen. The electrically neutral atom contains a single positively charged proton and a single negatively charged electron bound to the nucleus by the Coulomb force. Atomic hydrogen constitutes about 75% of the elemental (baryonic) mass of the universe.In everyday life on Earth, isolated hydrogen atoms (usually called ""atomic hydrogen"" or, more precisely, ""monatomic hydrogen"") are extremely rare. Instead, hydrogen tends to combine with other atoms in compounds, or with itself to form ordinary (diatomic) hydrogen gas, H2. ""Atomic hydrogen"" and ""hydrogen atom"" in ordinary English use have overlapping, yet distinct, meanings. For example, a water molecule contains two hydrogen atoms, but does not contain atomic hydrogen (which would refer to isolated hydrogen atoms).
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