The quantum action principle revisited

2008 ◽  
Vol 86 (5) ◽  
pp. 703-712 ◽  
Author(s):  
M Carvalho ◽  
A Lyra
Keyword(s):  
Quantum Mechanics ◽  
Lie Algebra ◽  
Action Principle ◽  
Heisenberg Equation ◽  
Galilei Group ◽  
Basic Assumptions ◽  
Canonical Variables ◽  
Quantum Action ◽  
Quantum Action Principle

We investigate the basic assumptions leading to Schwinger’s quantum action principle in quantum mechanics. We present this principle in a new way that clarifies some previous developments, for example, the derivation of the fundamental commutators among the canonical variables and the Heisenberg equation for operators. We define operators associated with the classical transformations of the Galilei group, i.e., translations, boosts, and rotations and show their commutators obey the Lie algebra of the Galilei group.PACS Nos.: 83.65.Ca, 11.10.Ef

ON THE CORRESPONDENCE BETWEEN CLASSICAL AND QUANTUM MECHANICS IN DEFINING ATOMS AND MOLECULES IN CONDENSED SYSTEMS

2001 ◽  
Vol 15 (18) ◽  
pp. 2485-2490
Author(s):  
L. DELLE SITE
Keyword(s):  
Quantum Mechanics ◽  
Physical Interpretation ◽  
Action Principle ◽  
Atoms And Molecules ◽  
Quantum Action ◽  
Definition Of ◽  
Quantum Action Principle ◽  
Condensed Systems ◽  
Classical And Quantum Mechanics

We analyze and discuss the concept of "proper quantum subsystem" (PQS). In particular we focus the attention on the theory of "quantum mechanics of a subspace" developed by R. F. W. Bader and coworkers whose definition of a PQS is based on the Schwinger's Quantum Action Principle; we illustrate some properties of this definition and propose a problem whose solution could be relevant in formulating a correct physical interpretation of the concept above.

QUANTUM ACTION PRINCIPLE AND SCHRÖDINGER PHASES

1991 ◽  
Vol 06 (20) ◽  
pp. 1847-1854
Author(s):  
HIROSHI KURATSUJI
Keyword(s):  
Quantum Mechanics ◽  
Transition Amplitude ◽  
Approximate Solutions ◽  
Action Principle ◽  
Point Of View ◽  
Quantum Equation ◽  
Quantum Action ◽  
Phase Functions ◽  
Quantum Action Principle

The action principle in quantum mechanics is examined from a novel point of view with specifical emphasis on phase functions. The generalized transition amplitude can be expressed by exponentiation of the quantum action which is called Schrödinger's phase. Physically speaking, the Schrödinger phase represents a measure of "quantum inaccuracy" which one inevitably encounters whenever one considers approximate solutions of the quantum equation.

scholarly journals Schwinger's Quantum Action Principle

2015 ◽  
Author(s):  
Kimball A. Milton
Keyword(s):  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

scholarly journals Gauge invariance, the quantum action principle, and the renormalization group

1996 ◽  
Vol 378 (1-4) ◽  
pp. 213-221 ◽  
Author(s):  
Marco D'Attanasio ◽  
Tim R. Morris
Keyword(s):  
Renormalization Group ◽  
Gauge Invariance ◽  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

Quantum Action Principle

2001 ◽  
pp. 195-221
Author(s):  
Julian Schwinger
Keyword(s):  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

Quantum action principle in curved space

1975 ◽  
Vol 5 (1) ◽  
pp. 143-158 ◽  
Author(s):  
T. Kawai
Keyword(s):  
Action Principle ◽  
Curved Space ◽  
Quantum Action ◽  
Quantum Action Principle

Quantum action principle and base operators for bosons and fermions

2005 ◽  
Vol 626 (1-4) ◽  
pp. 256-261
Author(s):  
L.D. Swift ◽  
Z.E. Musielak ◽  
J.L. Fry
Keyword(s):  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle

Subspace quantum dynamics and the quantum action principle

1978 ◽  
Vol 68 (8) ◽  
pp. 3680-3691 ◽  
Author(s):  
Richard F. W. Bader ◽  
Shalom Srebrenik ◽  
T. Tung Nguyen‐Dang
Keyword(s):  
Quantum Dynamics ◽  
Action Principle ◽  
Quantum Action ◽  
Quantum Action Principle
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