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Physlets and Open Source Physics for Quantum Mechanics:
Physlets and Open Source Physics for Quantum Mechanics:

particle in a box the uncertainty principle
particle in a box the uncertainty principle

... 3.8 Uncertainty Principle II -- derivation based on the particle properties of waves* I claimed above that the limits implied by the uncertainty principle are fundamental to nature, and are due to the wave properties of matter. This follows cleanly and logically from the mathematics of waves. As hu ...
Introduction to Quantum Computing (2010) (e-book)
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... in the state of a physical system, and a computation is a task that can be performed with a physically realizable device. Therefore, since the physical world is fundamentally quantum mechanical, the foundations of information theory and computer science should be sought in quantum physics. (John Pre ...
Lecture Notes for the 2014 HEP Summer School for Experimental
Lecture Notes for the 2014 HEP Summer School for Experimental

computing
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... |an−2 i . . . |a1 i ⊗ |a0 i, where ai ∈ {0, 1}, and it represents a quantum register prepared with the value a = 20 a0 + 21 a1 + . . . 2n−1 an−1 . There are 2n states of this kind, representing all binary strings of length n or numbers from 0 to 2n −1, and they form a convenient computational basis. ...
Lecture Notes for Ph219/CS219: Quantum Information and Computation Chapter 2 John Preskill
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... An operator that acts trivially on system B can be denoted M A ⊗ I B , where I B is the identity on HB , and an operator that acts trivially on system A can be denoted I A ⊗ N B . These five axioms provide a complete mathematical formulation of quantum mechanics. We immediately notice some curious f ...
coherent states in quantum mechanics
coherent states in quantum mechanics

... In classical physics the properties of a certain system can be described using its position x and mass m. With these variables it is possible to determine the velocity v(=dx/dt), the momentum p(=mv) and any other dynamical variable of interest. Quantum mechanics describes the time evolution of physi ...
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... Use the equations for circular motion to derive the relationship between r and T (period of orbit). ...
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... Symmetry is very important in physics and especially particle physics. Symmetries are connected to conservation laws (rotational invarianceangular momentum conservation; translational invariancemomentum conservation) Transformations can be continuous or discrete e.g. translations, rotations, Lor ...
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Microsoft Word _ arxiv paper - Philsci

... either immediately or through theorems incorporating the lower axioms. Alfred Tarski came to the same understanding independently of Gödel four years later: “All sentences constructed according to Gödel’s method possess the property that it can be established whether they are true or false on the ba ...
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... resource for quantum-enhanced atomic magnetometry [2]. More recently, we have developed techniques for squeezing all three spin components of an unpolarised sample of atoms. This generates a highly entangled macroscopic spin singlet (MSS) [3,4], analogous to the ground state of many fundamental spin ...
Coherent population trapping of an electron spin in a single
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... fixed probe Rabi frequencies are shown in Fig. 2b–f. The energy separation of the two peaks is increased by increasing the driving field intensity. As Ωd becomes larger than the trion transition linewidth, two Autler–Townes peaks with Lorentzian line shapes appear in the probe absorption spectrum, a ...
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Phys. Rev. Lett. 98, 070602
Phys. Rev. Lett. 98, 070602

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Canonical quantization

In physics, canonical quantization is a procedure for quantizing a classical theory, while attempting to preserve the formal structure, such as symmetries, of the classical theory, to the greatest extent possible.Historically, this was not quite Werner Heisenberg's route to obtaining quantum mechanics, but Paul Dirac introduced it in his 1926 doctoral thesis, the ""method of classical analogy"" for quantization, and detailed it in his classic text. The word canonical arises from the Hamiltonian approach to classical mechanics, in which a system's dynamics is generated via canonical Poisson brackets, a structure which is only partially preserved in canonical quantization.This method was further used in the context of quantum field theory by Paul Dirac, in his construction of quantum electrodynamics. In the field theory context, it is also called second quantization, in contrast to the semi-classical first quantization for single particles.
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