{"product_id":"9781786344144","title":"Emergence Of The Quantum From The Classical: Mathematical Aspects Of Quantum Processes","description":"\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe emergence of quantum mechanics from classical world mechanics is now a well-established theme in mathematical physics. This book demonstrates that quantum mechanics can indeed be viewed as a refinement of Hamiltonian mechanics, and builds on the work of George Mackey in relation to their mathematical foundations. Additionally when looking at the differences with classical mechanics, quantum mechanics crucially depends on the value of Planck's constant \u003cem\u003eh\u003c\/em\u003e. Recent cosmological observations tend to indicate that not only the fine structure constant α but also \u003cem\u003eh\u003c\/em\u003e might have varied in both time and space since the Big Bang. We explore the mathematical and physical consequences of a variation of \u003cem\u003eh\u003c\/em\u003e; surprisingly we see that a decrease of \u003cem\u003eh\u003c\/em\u003e leads to transitions from the quantum to the classical.\u003c\/p\u003e\u003cp\u003e\u003cem\u003eEmergence of the Quantum from the Classical\u003c\/em\u003e provides help to undergraduate and graduate students of mathematics, physics and quantum theory looking to advance into research in the field.\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e","brand":"World Scientific Publishing Europe Ltd","offers":[{"title":"Default Title","offer_id":47056704012528,"sku":"9781786344144","price":118.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781786344144_p0.jpg?v=1763729575","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781786344144","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}