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Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy and the uncertainty principle and is generally used in single body systems. Use the quantum-field-theory tag for the theory of many-body quantum-mechanical systems.

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You are right, and here is why. $|0,1\rangle$ and $|1,0\rangle$ form a basis in the Hilbert space $H$, which has two complex dimensions. It can be the space of one boson which may be in two quantum st …
answered Sep 30 '12 by Cristi Stoica
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I am not familiar with the electrons in 1d with spin, but I can tell you about the math theory of spinors for this case. The spin group $Spin(r,s)$ is defined as the double cover of the special ortho …
answered Sep 6 '12 by Cristi Stoica
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Sometimes, we call "misconceptions" the opinions others have, that prevent them to understand our ideas, or to agree with us. These are not necessarily wrong conceptions, but they tell a different sto …
answered Sep 18 '13 by Cristi Stoica
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The wavefunctions form a vector space (the Hilbert space). In fact, from the Hilbert space, we keep only the wavefunctions with norm equal to $1$ - the directions. Please note that the directions are …
answered Sep 7 '12 by Cristi Stoica
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The correlations between the ways entangled particles are allowed to collapse are independent on the time ordering. For example, in the EPR experiment, if A and B are spacelike separated, one observer …
answered Sep 21 '12 by Cristi Stoica
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The electron is always a wave. The electron is wave, as experiments of diffraction and interference showed. Waves come in an infinity of "shapes". Some kinds of shapes have some properties, and othe …
answered Aug 26 '13 by Cristi Stoica
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A quantum system (for example a particle) is normally described by a wavefunction, which is a vector $|\psi\rangle$ from its Hilbert space $H$. But this description is not complete when the system is …
answered Sep 17 '12 by Cristi Stoica
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I guess that the procedure of preparation achieves this. Start with a bunch of particles of the desired type. Build a measurement device which measures an observable which has as eigenstate the wavefu …
answered Sep 7 '12 by Cristi Stoica
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I will argue that the experiment presented in the paper [1,2] actually supports Quantum Mechanics. This may be not quite explicit in the paper, but also there is nothing against the standard view on q …
answered Sep 12 '12 by Cristi Stoica
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If you put a detector at one of the two slits, you obtain no interference. But this doesn't depend on whether you send a bunch of photons, or one photon at a time. If both slits are open and without d …
answered Sep 29 '12 by Cristi Stoica
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Here's a new paper which may be related this problem, and appeared today on the archive: Recovering the Hamiltonian from spectral data Cyrille Heriveaux, Thierry Paul http://arxiv.org/abs/1202.5102 …
answered Feb 24 '12 by Cristi Stoica
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Very short theoretical answer: The mass is a term $m$ which appears in the Klein-Gordon, Dirac, and even Schrödinger equations. For example, for scalar particles, it is the term $m$ from the …
answered Sep 21 '12 by Cristi Stoica
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0answers
Let $\left(|\uparrow\rangle,|\downarrow\rangle\right)$ and $\left(|\nearrow\rangle,|\swarrow\rangle\right)$ be two bases of the $2$-dimensional Hilbert space $H$. Can an experiment distinguish betwee …
asked Sep 3 '12 by Cristi Stoica
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2answers
We can construct a Hermitian operator $O$ in the following general way: find a complete set of projectors $P_\lambda$ which commute, assign to each projector a unique real number $\lambda\in\mathbb …
asked Feb 13 '12 by Cristi Stoica
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2answers
Dirac said that a photon can only interfere with itself. This is consistent with the tensor product of two photon spaces representation. On the other hand, it is known that there is interference betwe …
asked Sep 3 '12 by Cristi Stoica

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