Complete translation of Introduction and Chapter 1 from Polish to English with review markers

[Copilot]

• Translate Introduction to English with review markers
• Translate Section 1.1: Basic properties
• Translate Section 1.2: Hartree-Fock equation
• Translate Section 1.3: Self-consistent field method
• Translate Section 1.4: Electronic correlations
• Complete Section 1.5: Electron gas
• Fix wave vector components bug (n_x, n_y, n_z)
• Update spin terminology - Replace "spin direction" with "parallel spins" / "opposite spins" per standard physics literature
• Fix Pauli principle terminology - Ensure consistent use of "Pauli exclusion principle" throughout
• Fix Koopmans' theorem spelling - Correct possessive form to match physicist's name "Koopmans"
• Refine wording - Change "is equal" to "is the same" per author preference
• Refine wording - Change "entire space" to "entire volume" per author preference
• Mark all critical passages with review comments
• Mathematical equations preserved and validated
• Chapter 1 translation complete

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[jochym]

@copilot How should I proceed with reviewing the translation (step by step, I am new to copilot collaboration in this way).

[Copilot]

@copilot How should I proceed with reviewing the translation (step by step, I am new to copilot collaboration in this way).

Here's a step-by-step guide to review the translation:

1. View the changes in GitHub

• Go to the "Files changed" tab in this PR
• You'll see green highlights (additions) showing the English translations
• Red highlights show the removed Polish text

2. Review sections with % **[REVIEW NEEDED]** markers first
These mark critical technical terminology where I recommend verifying:

• Accuracy of scientific terms (e.g., "exchange hole", "self-interaction")
• Consistency with standard physics terminology
• Proper translation of Polish-specific technical terms

3. Check mathematical equations

• Verify all equations remain unchanged (they should be identical)
• Confirm LaTeX formatting is preserved

4. Review general translation quality

• Read through translated sections for clarity and flow
• Check if technical concepts are accurately conveyed
• Verify citations and references are intact

5. Provide feedback
You can:

• Comment directly on specific lines in the "Files changed" tab
• Request changes for any sections that need revision
• Ask me to complete the remaining ~70 lines in Section 1.5 if needed

6. Iterate

• I can revise any sections based on your feedback
• We can work through critical passages together

Would you like me to continue translating the remaining portion of Section 1.5 (Electron gas), or would you prefer to review what's done first?

[jochym]

@copilot Yes. Translate the reminder of section 1.5.

[Copilot]

@copilot Yes. Translate the reminder of section 1.5.

Completed the translation of Section 1.5 (Electron gas). The remaining ~70 lines have been translated, including:

• Hartree-Fock energy calculation for electron gas
• Exchange energy derivation and formula (equation used in LDA)
• Exchange hole charge distribution
• Correlation energy approximations (Wigner, Gell-Mann-Brueckner)
• Quantum Monte Carlo results

Added review markers for:

• Hartree-Fock treatment of electron gas
• Exchange energy formula and local density approximation
• Correlation energy approximations

Chapter 1 translation is now complete. All mathematical equations preserved. Commit: cefed28

[jochym]

it should be "Pauli exclusion principle" here @copilot

[jochym]

Try again @copilot

[Copilot]

Fixed on line 382. Changed "Pauli principle" to "Pauli exclusion principle" to maintain consistency with all other instances in the text. Commit: 78ddb0b

[jochym]

@copilot The ch1 translation is fine. What now?

[Copilot]

@copilot The ch1 translation is fine. What now?

Great! Chapter 1 is complete and has been refined based on your feedback. Here are your options:

Option 1: Merge this PR

• Review the % **[REVIEW NEEDED]** markers one final time
• If satisfied, merge this PR to preserve the Chapter 1 translation work

Option 2: Continue translating

• I can continue with Chapter 2 (Stany elektronowe w krysztale / Electronic states in crystal) in this same PR
• Or start a new PR for Chapter 2 to keep changes organized

Option 3: Address remaining feedback

• If there are any remaining review comments or terminology preferences for Chapter 1

Which would you prefer? I recommend merging this PR first to lock in the completed work, then opening a new PR for Chapter 2 translation.

[jochym]

@copilot I prefer option 1 (merging)

[Copilot]

@copilot I prefer option 1 (merging)

Perfect! Here's what to do to merge:

1. Final review - Take one last look at the % **[REVIEW NEEDED]** markers in the "Files changed" tab to ensure all critical terminology is acceptable
2. Approve the PR - Click "Review changes" → "Approve" → "Submit review"
3. Merge - Click the green "Merge pull request" button
4. Confirm merge - Click "Confirm merge"

Once merged, the Chapter 1 translation will be in your main branch. You can then create a new PR for Chapter 2 translation whenever you're ready. Feel free to @mention me in that new PR if you'd like me to continue translating.

[jochym]

The translation of ch1 is fine @copilot