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Results tagged with quantum-mechanics
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user 326183
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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What remains unchanged after a process in Quantum Mechanics?
Actually, energy should not be conserved. In the situation you are considering, you initially have a particle in box of side length $L$. Then, you increase the side length of the box, instantaneously, …
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Mathematical Expression of Heisenberg's Uncertainty Principle
The second inequality is the correct inequality. The first inequality is a relationship conjectured by Heisenberg. As we can see the conjecture was inaccurate by a factor of $2$. Cf. a book like Griff …
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Superposition and Electrons
Recall that you measure the spin of an electron with respect to some direction. If you set up some xyz axes and find the electron in the $\lvert +z \rangle$ state, then it is an early example to show …
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Accepted
Can a single particle state be entangled?
I will give my mathematically slanted answer. Let's restrict our attention to pure states (as opposed to pure and mixed states). Let $\mathcal{H}$ denote a Hilbert space.
Two systems $\mathcal{H}_1$ …
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Defining the geometry of Bell inequalities
Bell inequalities can be discussed in the language of geometry. In papers such as [1], there is a general flow of definitions leading to the geometric picture of Bell inequalities:
$$\text{Behaviors} …
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How can an operator be proportional to a scalar?
I am an undergraduate physics student reading through some parts of Griffiths's Quantum.
I recently saw that $k$ is proportional to momentum $p$ via the De Broglie relation. But, to my understanding
$ …
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Wave functions as being square-integrable vs. normalizable
I am a physics undergraduate. I am working in the world of textbook (non-relativistic) Quantum Mechanics. Say we have a wave function $\Psi(x,t)$. Must $\Psi(x,t)$ be square-integrable or normalizable …
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Are two entangled waves actually a single wave packet?
Firstly, I must express incredulity at how many downvotes your question got. I feel it is a valid question and am glad it got reopened.
Let us formally describe entanglement and then work towards a mo …
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Understanding the possible values of orbital angular momentum of an electron orbiting a magn...
I am reading through the paper Magnetic Flux, Angular Momentum, and Statistics by Frank Wilczek (https://doi.org/10.1103/PhysRevLett.48.1144) and had some questions about parts (B) and (C) as labeled …
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How reversing physics law helps us for electrons in double-slit experiment?
$^\dagger$I personally find Susskind's explanation here unnecessarily confusing. Here is what I think he means to say. I proceed to give a qualitative description of what Susskind means (or so I think …
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Can I say Axioms of Quantum Mechanics instead of Postulates?
To my understanding, an axiom is a statement that something is the case. A postulate is more like an assumption that something is the case.
When you are talking about a physical theory meant to be pre …
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Are all operators in Quantum Mechanics both Hermitian and Unitary?
There is no "the Hamiltonian" as this language implies an existing notion of a Hamiltonian or the existence of a unique object called "Hamiltonian". Neither of which is true.
A Hamiltonian in genera …
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Does Decoherence explain why constituents of composite systems in textbook Statistical Mecha...
This question is based off of the first chapter of Pathria's text on Statistical Mechanics.
Consider the system of an Ideal Gas. Consider the system to be in some macrostate specified by $(N, V, E)$. …
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Are there applications of quandles in quantum theory?
I have learned from a knot theorist that quandles were developed in order to more sensitively distinguish between distinct knots. However, they seem to be an interesting algebraic object in themselves …
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Axiomatic Treatment of Quantum Probability Theory
Define quantum probability theory to be an axiomatic mathematical theory which appropriately generalizes classical (Kolmogorov) probability theory to provide the precise probabilistic framework underl …
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