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Results tagged with quantum-mechanics
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user 391058
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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How do I "force" a hamiltonian to describe a particle moving with a velocity in a specific d...
I want to describe a system of two particles, each in a local harmonic potential, with an intermolecular potential between them. One of the particles is moving toward the other one. I wish to be able …
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How do I formulate a quantum version of Hamiltonian flow/symplectomorphisms in phase space t...
I'm currently exploring how Noether's theorem is formulated in the Hamiltonian formalism. I've found that canonical transformations which conserve volumes in phase space, these isometric deformations …
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Tensor Operators and Spherical Harmonics
I've worked through a problem in Howard Georgi's Lie Algebras in Particle physics that states:
"The operator $(r_+)^2$ satisfies $[L^+, (r_+)^2] = 0$. It is therefore the $O_{+2}$ component of a spin …
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Help with finding the understanding generalized raising/lowering operators
I'm working on the following problem:
If $| \mu \rangle$ is the state of the highest weight, that is $\mu = \mu_1 + \mu_2$ of the adjoint representation of $SU(3)$, show that the states:
$$
|A\rangle …
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Galilean boost operator for quantum multi-particle system
If I have a two particle system with with a potential of form $V(x_1,x_2)$, is it possible to apply the galilean boost operator to only a single coordinate? Essentially, is it possible to move only a …
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