#schrodinger-picture

[peeterjoot]

1D SHO linear superposition that maximizes expectation

1D SHO linear superposition that maximizes expectation

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Question: 1D SHO linear superposition that maximizes expectation ([1] pr. 2.17)

For a 1D SHO

(a)

Construct a linear combination of \( \ket{0}, \ket{1} \) that maximizes \( \expectation{x} \) without using wave functions.

(b)

How does this state evolve with time?

(c)

Evaluate \( \expectation{x} \) using the Schrodinger picture.

(d)

Evaluate…

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[peeterjoot]

PHY1520H Graduate Quantum Mechanics. Lecture 2: Basic concepts, time evolution, and density operators. Taught by Prof. Arun Paramekanti

PHY1520H Graduate Quantum Mechanics. Lecture 2: Basic concepts, time evolution, and density operators. Taught by Prof. Arun Paramekanti

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Disclaimer

Peeter’s lecture notes from class. These may be incoherent and rough.

These are notes for the UofT course PHY1520, Graduate Quantum Mechanics, taught by Prof. Paramekanti, covering chap 1 (basic concepts),3 (density operator). content from [1].

Basic concepts

We’ve reviewed the basic concepts that we will encounter in Quantum…

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