All Questions
Tagged with duality quantum-mechanics
15
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Schrodinger's thought process about duality [duplicate]
How can a single particle be a wave?
Always thought wave is defined as back-and-forth motion for single particle, or we have many particles, wave should be as passing energy from one particle to ...
- 137
2
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1
answer
209
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Is the Dirac monopole quantization condition out by 1/2?
Consider an electron with electric charge $e$ that is moved around a closed horizontal circular path $C$ centered around a magnetic monopole with magnetic charge $g$. Assume that the monopole produces ...
- 5,925
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Are dualities necessarily quantum mechanical?
What happens to dualities in a certain limit where quantum mechanics is turned off?
Like sending $\hbar/S$ $\rightarrow0$ where $S$ is the action of each side of the duality.
Does the duality have a ...
- 1,268
1
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The Heisenberg model using the duality analysis
I would like to express the Heisenberg model using the duality analysis. It is shown here how to express the Ising model using Pauli matrices but I cannot get the relation $ \sigma _{i}^{z}= \prod_{...
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Does there exist a duality between the following two quantum systems?
Consider two systems:
A) $N$ number of independent spin $0$ bosons living on a circle.
B) A single spin $0$ boson moving on an $N$-torus.
How do we detect the difference between the two systems ...
user77187
0
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49
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Multiple Classical Limits of a Quantum Theory [duplicate]
I recently learned that one of the many lessons that one can learn from the AdS/CFT correspondence is that there could be two classical limits (the bulk with gravity in $D+1$ spatial dimensions, and ...
user87745
8
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4
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Why are position and momentum space examples of Pontryagin duality?
https://en.wikipedia.org/wiki/Position_and_momentum_space
https://en.wikipedia.org/wiki/Pontryagin_duality
I am trying to understand logic behind the uncertainity principle. And as far as I ...
- 183
2
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1
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441
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Dual nature of matter
DeBroglie's hypothesis suggests that every body has particle-like and wave-like properties (which may or may not be observable). This means that I as a person walking down the road with a velocity $v$ ...
- 1,922
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779
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Adjoint ket vectors in Dirac notation?
In books on quantum physics you often see things like $\left(A|\Psi\rangle\right)^\dagger=\langle\Psi|A^\dagger$. However, $|\Psi\rangle:=\Psi\in\mathcal{H}$ is a vector and $\langle\Psi|:=\Psi^\ast\...
- 1,187
40
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What's the intuition behind the Choi-Jamiolkowski isomorphism?
What is the intuition behind the Choi-Jamiolkowski isomorphism? It says that with every superoperator $\mathbb{E}$ we can associate a state given by a density matrix
$$ J(\mathbb{E}) = (\mathbb{E} \...
- 2,835
3
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Quantum Mechanics: Relate solutions for two dual hamiltonians?
Consider a Hamiltonian in quantum mechanics:
$$H_x=-\frac{d^2}{dx^2}+V(x,c)$$
where $x\in\mathbb{R}$ and the potential $V(x,c)$ depends on position $x$ and a continuous parameter $c$. Furthermore, ...
- 1,517
1
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1
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Mathematical proof of Bohr's complementarity principle
Complementarity principle, in physics, tenet that a complete knowledge of phenomena on atomic dimensions requires a description of both wave and particle properties. Depending on the experimental ...
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-2
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1
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In what ways does matter behave like a wave? [duplicate]
thanks in advance for the help.
Mainly, what characteristic of matter is wavelike? Does is physically move up and down like a wave, does it phase in and out of existence with a wavelike gradient, or ...
- 2,878
76
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12
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18k
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Is the wave-particle duality a real duality?
I often hear about the wave-particle duality, and how particles exhibit properties of both particles and waves. However, I wonder, is this actually a duality? At the most fundamental level, we 'know' ...
- 1,503
21
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5
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Is quantum mechanics intrinsically dualistic?
In just about every interpretation of quantum mechanics, there appears to be some form of dualism. Is this inevitable or not?
In the orthodox Copenhagen interpretation by Bohr and Heisenberg, the ...
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