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Results tagged with quantum-mechanics
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user 262404
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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Query in inner product axioms in QM
In inner product spaces in $\mathbb R$ we have an axiom stating that:
$$ \langle x, x\rangle \geq 0\ \ \text{and} \ \ \langle x, x\rangle = 0 \iff x = 0$$
In Griffiths' textbook for Quantum Mechanic …
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Proper way of adding parameters to a test wave function
So experimenting with the variational method, I thought of a test wave function for an infinite deep well system,
$$\Psi(x) = N(a^2-x^2) \text{ for $-a$ < $x$ < $a$}$$
and $0$ everywhere else.
Now, th …
- 217
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Particle in a box derivation question
Since, the case here is solved using Schrodinger's equation (a second order differential), we arrive at that particular solution theoretically as follows.
In the case of Particle in a box, $\mathbf V …
- 217
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Query regarding $L^{2}$ functions
Given that a wave-function $\psi$ can be written as the superposition of plane waves where $\mathbf k$ is the wave vector (3D) and $g({\mathbf k})$ is a complex fn, must be sufficiently regular to all …
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