TY - JOUR
T1 - Examples of enhanced quantization
T2 - Bosons, fermions and anyons
AU - Adorno, T. C.
AU - Klauder, J. R.
N1 - Funding Information:
T. C. Adorno acknowledges support of FAPESP under the contracts 2013/00840-9 and 2013/16592-4. He is also thankful to the Department of Physics at the University of Florida for its kind hospitality.
PY - 2014/9/10
Y1 - 2014/9/10
N2 - Enhanced quantization offers a different classical/quantum connection than that of canonical quantization in which h{stroke} > 0 throughout. This result arises when the only allowed Hilbert space vectors allowed in the quantum action functional are coherent states, which leads to the classical action functional augmented by additional terms of order h{stroke}. Canonical coherent states are defined by unitary transformations of a fixed, fiducial vector. While Gaussian vectors are commonly used as fiducial vectors, they cannot be used for all systems. We focus on choosing fiducial vectors for several systems including bosons, fermions and anyons.
AB - Enhanced quantization offers a different classical/quantum connection than that of canonical quantization in which h{stroke} > 0 throughout. This result arises when the only allowed Hilbert space vectors allowed in the quantum action functional are coherent states, which leads to the classical action functional augmented by additional terms of order h{stroke}. Canonical coherent states are defined by unitary transformations of a fixed, fiducial vector. While Gaussian vectors are commonly used as fiducial vectors, they cannot be used for all systems. We focus on choosing fiducial vectors for several systems including bosons, fermions and anyons.
KW - Enhanced canonical quantization
KW - coherent states
KW - fractional spin
UR - http://www.scopus.com/inward/record.url?scp=84906871454&partnerID=8YFLogxK
U2 - 10.1142/S0217751X1450119X
DO - 10.1142/S0217751X1450119X
M3 - Article
AN - SCOPUS:84906871454
SN - 0217-751X
VL - 29
JO - International Journal of Modern Physics A
JF - International Journal of Modern Physics A
IS - 22
M1 - 1450119
ER -