Abstract
A thing, intuitively, seems to be an à priori form of Nature that is most directly experienced by our five senses. A physical entity that can be perceived by sensory perception appears to be one of the most irreducible and primitive notions that underpins our cognition of Nature. A good place to start exploring the quantum realm is to understand the difference in how classical and quantum mechanics conceptualize an entity, a thing, and an object.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
The concept of repeated quantum measurements is discussed in Sect. 9.3.
- 2.
Quantum probability is different from classical probability and is discussed in Chap. 7.
- 3.
The relation of the state to observed quantities is discussed in Sect. 2.4.
- 4.
The position projection operator \(\mathcal{O}(x) = \vert x\rangle \langle x\vert \) and is discussed in Sect. 9.2.
- 5.
It is always assumed, unless stated otherwise, that a quantum state is not an eigenstate.
- 6.
Eigenstates are discussed in (5.5).
- 7.
Except, as mentioned earlier, for eigenstates.
References
Peres, A.: Quantum Theory: Concepts and Methods. Kluwer, Holland (1998)
Aspect, A.: Bell’s inequality test: more ideal than ever. Nature 398(189), 1408–1427 (1999)
Baaquie, B.E.: Quantum Finance. Cambridge University Press, Cambridge (2004)
Ballentine, L.E.: Quantum Mechanics: A Modern Development. World Scientific, Singapore (1998)
Baaquie, B.E.: Path Integrals in Quantum Mechanics, Quantum Field Theory and Superstrings. Cambridge University Press, Cambridge (2013)
Bell, J.: Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press, Cambridge (2004)
Odom, B., Hanneke, D., D’Urso, B., Gabrielse, G.: New measurement of the electron magnetic moment using a one-electron quantum cyclotron. Phys. Rev. Lett. 97, 030801 (2006)
DeWitt, B.S., Graham, N.: The Many-Worlds Interpretation of Quantum Mechanics. Princeton University Press, Princeton (1973)
Clauser, J.F., Horne, M.A., Shimony, A., Holt, R.A.: Proposed experiment to test local hidden-variable theories. Phys. Rev. Lett. 23, 880–884 (1969)
Dirac, P.A.M.: The Principles of Quantum Mechanics. Oxford University Press, Oxford (1999)
Einstein, A., Podolsky, B., Rosen, N.: Can quantum-mechanical description of physical reality be considered complete? Phys. Rev. 47, 777–780 (1935)
Wigner, E.P.: The problem of measurement. Am. J. Phys. 31, 6–15 (1963)
Feynman, R.P.: The Character of Physical Law. Penguin Books, Baltimore (2007)
Feynman, R.P., Hibbs, A.R.: Quantum Mechanics and Path Integrals. McGraw Hill, New York (1960)
Gottfried, K., Yan, T.-M.: Quantum Mechanics. Springer, Germany (2003)
Greenstein, G., Zajonc, A.G.: The Quantum Challenge, 2nd edn. Jones and Bartlett, Boston (2006)
Heisenberg, W.: The Physical Principals of the Quantum Theory. Dover, New York (1949)
Heisenberg, W.: Physics and Philosophy: The Revolution in Modern Science. Prometheus Books, New York (1999)
Isham, C.J.: Lectures on Quantum Theory. Imperial College Press, London (1995)
Klyachko, A.A., Can, M.A., Binicioğlu, S., Shumovsky, A.S.: Simple test for hidden variables in spin-1 systems. Phys. Rev. Lett. 101, 020403 (2008)
Kochen, S., Specker, E.P.: The problem of hidden variables in quantum mechanics. J. Math. Mech. 17 (1967)
Kurzyński, P., Ramanathan, R., Kaszlikowski, D.: Entropic test of quantum contextuality. Phys. Rev. Lett. 109, 020404 (2012)
Lawden, D.F.: The Mathematical Principles of Quantum Mechanics. Dover, New york (2005)
Feynman, R.P., Leighton, R.B., Sands, M.: The Feynman Lectures on Physics. Addison-Wesley, Reading (1964)
Mackey, G.W.: Mathematical Foundations of Quantum Mechanics. Dover, New York (2004)
Major, F.G., Gheorghe, V.N., Werth, G.: Charged Particle Traps: Physics and Techniques of Charged Particle Field Confinement. Springer, Germany (2010)
Nielsen, M.A., Chang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Muga, G.: Time in Quantum Mechanics. Springer, Berlin (2008)
Muller, H., Peter, A., Chew, S.: A precision measurement of the gravitational redshift by the interference of matter waves. Nature 463(3), 926–929 (1983)
Newton, R.G.: The Truth of Science: Physical Theories and Reality. Harvard University Press, Cambridge (1997)
Healy, R.: The Philosophy of Quantum Mechanics. Cambridge University Press, Cambridge (2008)
Ramanathan, R., Soeda, A.A., Kurzyński, P., Kaszlikowsk, D.: Generalized monogamy of contextual inequalities from the no-disturbance principle. Phys. Rev. Lett. 109, 050404 (2012)
Schlosshauer, M.A.: Decoherence: and the Quantum-to-Classical Transition. Springer, Germany (2010)
Stapp, H.P.: The Copenhagen interpretation. Am. J. Phys. 40 (1963)
Streater, R.F.: Classical and quantum probability. J. Math. Phys. 41, 3556–3603 (2000)
von Neumann, J.: Mathematical Foundations of Quantum Mechanics. Princeton University Press, Princeton (1983)
Yu, S., Oh, C.H.: State-independent proof of Kochen-Specker theorem with 13 rays. Phys. Rev. Lett. 108, 030402 (2012)
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this chapter
Cite this chapter
Baaquie, B.E. (2013). The Quantum Entity and Quantum Mechanics. In: The Theoretical Foundations of Quantum Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6224-8_2
Download citation
DOI: https://doi.org/10.1007/978-1-4614-6224-8_2
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6223-1
Online ISBN: 978-1-4614-6224-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)