Is wearing Hijab obligatory for Muslim women? If so, does it imply disobedience to Allah and potential punishment? What are the consequences? Could you provide some Hadith or Quran verses to clarify this matter?
Yes with out any doubt, Hijab is obligatory on Muslim women according to concrete evidence in Quran and authentic Hadeeths. Ignoring wearing full Hijab is a sinful act because it means disobeying the orders of Allah (SWT) and it might result in a potential punishment. The Prophet Muhammad (SAWA) and his daughter Fatima (AS) have emphasized on Hijab as the best behaviours for a Muslim woman.
Details of Quranic verses and Hadeeths in this subject can be found in many books available in the Internet and articles on many websites including this website www.al-Islam.org.
Among many Quranic verses, I mention as an example the Verse 31 in Sura An-Noor and the verse 59 in Sura Al-Ahzab.
Among many authentic Hadeeths on Hijab subject I mention as examples : 1. Hadeeth from Imam Al-Ridha (AS) stating that Hijab is compulsory on Muslim women. Al-'Illa by Al-Sadouq, page 565.
2. Hadeeth from Imam Ja'far Al-Sadiq (AS): It is not allowed for a man to look at a woman except her face and hands and feet. Al-Kaafi, volume 5, page 521.
3. Hadeeth from Imam Mohammad Al-Baqir, Al-Kaafi, volume 5, page 532.
Wassalam