- Title Pages
- Preface
- 1 Introduction
- 2 Observers and time
- 3 Subjective images of time
- 4 Cultural images of time
- 5 Literary images of time
- 6 Objective images of time
- 7 Mathematical images of time
- 8 Illusionary images of time
- 9 Causal images of time
- 10 Physics and time
- 11 Biological time
- 12 The dimensions of time
- 13 The architecture of time
- 14 Absolute time
- 15 The reparametrization of time
- 16 Origins of relativity
- 17 Special relativity
- 18 Generalized transformations
- 19 General relativistic time
- 20 Time travel
- 21 Imaginary time
- 22 Irreversible time
- 23 Discrete time
- 24 Time and quanta
- 25 Temporal correlations
- 26 Time reversal
- 27 Quantized spacetime
- 28 Epilogue
- Appendix
- Bibliography
- Index
Time and quanta
Time and quanta
- Chapter:
- (p.248) 24 Time and quanta
- Source:
- Images of Time
- Author(s):
George Jaroszkiewicz
- Publisher:
- Oxford University Press
This chapter reviews the role of time as a parameter in quantum mechanics, rather than a dynamical variable. To emphasize this role, the chapter discusses the relationship between the Schrödinger picture and the Heisenberg picture in quantum mechanics. The chapter discusses the issues with the superluminal speed of de Broglie waves in quantum wave mechanics. A review of quantum uncertainty relations is given followed by an application to time and energy. The chapter discusses Pauli’s theorem and comment on the need to interpret the time–energy uncertainty relation contextually, taking into account the fact that time is not a dynamical variable. The chapter finishes with a discussion of a potential clash between relativity and quantum mechanics when the quantum propagator for a relativistic point particle is calculated via a Feynman path integral.
Keywords: quantum mechanics, Schrödinger picture, Heisenberg picture, de Broglie waves, time-energy uncertainty, Pauli’s theorem, relativistic particle propagator, Feynman path integral
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- Title Pages
- Preface
- 1 Introduction
- 2 Observers and time
- 3 Subjective images of time
- 4 Cultural images of time
- 5 Literary images of time
- 6 Objective images of time
- 7 Mathematical images of time
- 8 Illusionary images of time
- 9 Causal images of time
- 10 Physics and time
- 11 Biological time
- 12 The dimensions of time
- 13 The architecture of time
- 14 Absolute time
- 15 The reparametrization of time
- 16 Origins of relativity
- 17 Special relativity
- 18 Generalized transformations
- 19 General relativistic time
- 20 Time travel
- 21 Imaginary time
- 22 Irreversible time
- 23 Discrete time
- 24 Time and quanta
- 25 Temporal correlations
- 26 Time reversal
- 27 Quantized spacetime
- 28 Epilogue
- Appendix
- Bibliography
- Index
