Temperature in Quantum Systems: Meaning & Impact

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SUMMARY

The discussion centers on the concept of temperature in quantum systems, emphasizing that traditional quantum mechanics (QM) does not explicitly define temperature as a physical quantity. It highlights that temperature is relevant in statistical systems where many particles are involved, suggesting that temperature may only exist in mixed state systems. The evolution of these systems is governed by the Schrödinger equation, which does not incorporate temperature directly. The conversation references Philip W. Anderson's principle that "more is different," indicating the complexity of defining temperature in quantum contexts.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly the Schrödinger equation
  • Familiarity with statistical mechanics and mixed state systems
  • Knowledge of wave functions and their implications in quantum systems
  • Awareness of Philip W. Anderson's contributions to quantum theory
NEXT STEPS
  • Research the implications of temperature in statistical mechanics
  • Study the role of mixed state systems in quantum mechanics
  • Explore the relationship between energy and information in quantum systems
  • Learn about advanced quantum mechanics concepts related to wave functions
USEFUL FOR

Physicists, quantum mechanics researchers, and students interested in the intersection of temperature and quantum theory will benefit from this discussion.

Quantum River
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What is the meaning of temperature in a quantum system? Surely temperature concerns lots of particles. (More is different. -Philip W. Anderson) So the wave function of the system is very very big. Could temperature only exist in a mixed state system. But how do we define temperature? How does temperature influence the evolution of the system? The Schrödinger equation alone controls the evolution of the system already.
 
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Quantum River said:
What is the meaning of temperature in a quantum system? Surely temperature concerns lots of particles. (More is different. -Philip W. Anderson) So the wave function of the system is very very big. Could temperature only exist in a mixed state system. But how do we define temperature? How does temperature influence the evolution of the system? The Schrödinger equation alone controls the evolution of the system already.

The formalism of QM doesn't account for a description of the physical quantity called "temperature". However, we can describe quantum mechanically a statistical system for which we know to define the temperature.
 
Quantum River said:
What is the meaning of temperature in a quantum system? Surely temperature concerns lots of particles. (More is different. -Philip W. Anderson) So the wave function of the system is very very big. Could temperature only exist in a mixed state system. But how do we define temperature? How does temperature influence the evolution of the system? The Schrödinger equation alone controls the evolution of the system already.

Visit also "Energy Vs Information" session
 

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