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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.

1 vote
1 answer
545 views

Seeking for help with complex conjugate of bra|ket

I have 2 vectors: $$|a\rangle=\begin{pmatrix} 2+i & 2+2i\end{pmatrix}$$ and $$ |b\rangle=\begin{pmatrix} 1+i & 1+2i\end{pmatrix}$$ So basically I need to show that $$\langle a| b\rangle=\langle b| a\r …
Kostya's user avatar
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2 votes
1 answer
469 views

How to know spin out of wave function?

I do not clearly understand some concepts, so maybe someone will clarify this for me. Imagine we have a random wavefunction for an electron, it could be anything. How can I with known wave function c …
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