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Results tagged with quantum-mechanics
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user 57663
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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Undergrad Textbook on the Dirac Picture
From what I've seen, undergraduate textbooks on quantum mechanics generally focus on the Schrodinger picture and only possibly mention the Heisenberg and Dirac pictures near the end of the texts. Is …
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Is there a textbook which covers QM via Geometric Algebra (GA)?
There is at least one good book on classical mechanics using Geometric Algebra (GA): New Foundations in Classical Mechanics by David Hestenes.
Likewise there is at least one good book on classical E& …
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Directional derivatives in the multivariable Taylor expansion of the translation operator
Let $T_\epsilon=e^{i \mathbf{\epsilon} P/ \hbar}$ an operator. Show that $T_\epsilon\Psi(\mathbf r)=\Psi(\mathbf r + \mathbf \epsilon)$.
Where $P=-i\hbar \nabla$.
Here's what I've gotten: $$\be …
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Degeneracy in one dimension
I'm reading this wikipedia article and I'm trying to understand the proof under "Degeneracy in One Dimension". Here's what it says:
Considering a one-dimensional quantum system in a potential $V(x)$ …
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