"Thank you" in Tibetan, Cantonese, and Mandarin I have observed, from subtitled movies, that there seems to be an expression [tɔdʒe] in Cantonese meaning, approximately, "thank you". In Standard Lhasa Tibetan as represented by Nawang Nornang, the Tibetan expression meaning "thank you" is [tɔɔdʒe] (tones omitted, vowel qualities approximate). As far as I know, in Mandarin, "thank you" is [çieçie] (xiexie). This raises a few questions that I hope someone can answer. First, is it correct that there are significantly (phonologically) different expressions for "thank you" in Mandarin and Cantonese (我不會說中國話). All of my experience with Cantonese comes from movies. Second, if in fact Tibetan "thank you" is similar to the Cantonese version of "thank you" and not Mandarin, is there an explanation for why Tibetan would be more similar to Cantonese than to Mandarin.
As others have correctly pointed out, the Tibetan expression for 'thank you' is ཐུགས་རྗེ་ཆེ་ (Wylie: thugs rje che). The approximate phonetic pronunciation in the Lhasa dialect is thu-je-che (the 'gs' and 'r' being silent). Literally, ཐུགས་རྗེ་ (thu-je) means 'compassion' and ཆེ་ (che) comes from the word ཆེན་པོ་ (chen-po), which means 'great'. So when you are thanking someone, you are basically telling them that they have 'great compassion'.

Although it may sound like the Chinese phrase 多謝, the similar pronunciation is just a coincidence and the two expressions have nothing in common whatsoever.