The short answer is no. You do not specify why you think quantum mechanics should be related to social work, and in fact you do not specify what you mean by 'social work'. If the probabilistic considerations in social sciences (as in medicine) have suggested to you the existence of a link to the probabilistic considerations underlying the interpretation of, for instance, the wave function in quantum mechanics, then you should realise that probabilistic considerations are not unique to quantum mechanics. For instance, classical thermodynamics is built on methods of probability theory.

Incidentally, there is undoubtedly a link between everything material around us and quantum mechanics -- after all, all the material objects consist of atoms, and atoms as microscopic objects cannot be adequately understood without quantum mechanics. However, this does not mean that all things around us can or should be studied from the microscopic level onwards. To appreciate this, I strongly recommend you [1].

Lastly, in choosing a subject for your PhD thesis, take into account your employability post PhD. You could work on risky subject in your free time, or when you have secured a permanent position for yourself. Unless one is working in a group led by one or several world-renown leading scientists, working on esoteric subjects is fraught with dangers.

[1] PW Anderson, More is Different, Science 177, 393 (1972).

https://www.tkm.kit.edu/downloads/TKM1_2011_more_is_different_PWA.pdf

Well, I heard about such efforts recently.

Sorry, but I call this pseudoscience.

Hello Fateme Hashemi

The 2018 discussion on ResearchGate might help:

https://www.researchgate.net/post/Is_it_possible_to_apply_quantum_mechanics_to_sociology

I saw this; it is from 1989, but might be of interest:

https://www.ucalgary.ca/sw/ramsay/papers2/Ellergodt-89-quantum-leap-for-sowk-whole-system-1.html

But I could not see the author on ResearchGate, but the thesis was well thought of:

https://www.coursehero.com/file/33934133/A-Quantum-Leap-for-Social-Workpdf/

This might be of interest:

https://www.alexanderwendt.org/quantum-social-science

I think this is the author; you could maybe discuss this on ResearchGate: Professor Alexander Wendt.

or at his university:

https://polisci.osu.edu/people/wendt.23

I also saw this:

Höne, K. E. (2017). Quantum Social Science. Oxford University Press.

https://www.oxfordbibliographies.com/view/document/obo-9780199743292/obo-9780199743292-0203.xml

See the author's site:

http://www.educationdiplomacy.org/leadership/

https://www.diplomacy.edu/courses/faculty/h%25C3%25B6ne

I hope there is something of help here.

Very best wishes,

Mary