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Note: in General American, the enunciated form is more common when the word is used on its own; but in connected speech, when it is used as a modifier (as in quantum mechanics), the flapped form is more common.
1749, Henry Fielding, Tom Jones, Folio Society, published 1973, page 416:
The reader will perhaps be curious to know the quantum of this present, but we cannot satisfy his curiosity.
1790, Edmund Burke, Reflections on the Revolution in France, Oxford, published 2009, page 142:
A certain quantum of power must always exist in the community, in some hands, and under some appellation.
1997, Kiran Nagarkar, Cuckold, HarperCollins, published 2013, page 375:
Otherwise I will have given the lie to my maxim that whether you work eight or twenty hours, the quantum of work that gets done on a normal day is the same.
2008 May 21, The Times of India:
The Congress's core ministerial panel on Friday gave its green signal to raising motor fuel prices but the quantum of increase emerged as a hitch.
1979, John Le Carré, Smiley's People, Folio Society, published 2010, page 96:
Each man has only a quantum of compassion, he argued, and mine is used up for the day.
1999, Sigmund Freud, translated by Joyce Crick, The Interpretation of Dreams, Oxford, published 2008, page 34:
The dream of flying, according to Strümpell, is the appropriate image used by the psyche to interpret the quantum of stimulus [translating Reizquantum] proceeding from the rise and fall of the lungs when the cutaneous sensation of the thorax has simultaneously sunk into unconsciousness.
2012 January, Michael Riordan, “Tackling Infinity”, in American Scientist, volume 100, number 1, archived from the original on 19 June 2017, page 86:
Some of the most beautiful and thus appealing physical theories, including quantum electrodynamics and quantum gravity, have been dogged for decades by infinities that erupt when theorists try to prod their calculations into new domains. Getting rid of these nagging infinities has probably occupied far more effort than was spent in originating the theories.
“quantum”, in Charlton T. Lewis and Charles Short (1879) A Latin Dictionary, Oxford: Clarendon Press
“quantum”, in Charlton T. Lewis (1891) An Elementary Latin Dictionary, New York: Harper & Brothers
quantum in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition with additions by D. P. Carpenterius, Adelungius and others, edited by Léopold Favre, 1883–1887)
quantum in Gaffiot, Félix (1934) Dictionnaire illustré latin-français, Hachette.
Carl Meißner, Henry William Auden (1894) Latin Phrase-Book, London: Macmillan and Co.
(ambiguous) as far as I can guess: quantum ego coniectura assequor, auguror
(ambiguous) as far as I know: quantum scio
(ambiguous) I am not dissatisfied with my progress: non me paenitet, quantum profecerim
(ambiguous) to take only enough food to support life: tantum cibi et potionis adhibere quantum satis est