Are wave functions and quantum waves synonyms?

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Discussion Overview

The discussion centers on whether wave functions and quantum waves are synonymous, exploring the meanings and implications of these terms within various interpretations of quantum mechanics. Participants examine the nature of wave functions as mathematical abstractions versus the reality of quantum waves in specific theories, such as Objective collapse theories and Bohmian mechanics.

Discussion Character

  • Debate/contested
  • Conceptual clarification
  • Technical explanation

Main Points Raised

  • Some participants assert that wave functions are mathematical abstractions and cannot be real, while others suggest that in certain interpretations, such as Bohmian mechanics and Objective collapse theories, quantum waves are considered real.
  • A participant claims that a wave function is not a wave and describes it as a representation of the state of a quantum system.
  • Another participant argues that the solution to the Schrödinger wave equation appears to be a wave, questioning the assertion that wave functions are not waves.
  • Some participants note that the term "quantum wave" is not commonly used, raising questions about the terminology and its implications in different interpretations of quantum mechanics.
  • A later reply suggests that the understanding of whether quantum waves are real may depend on the interpretation of quantum mechanics one favors, highlighting the interpretative nature of the discussion.
  • One participant points out that while solutions to different equations (like the Klein-Gordon equation) may look similar, their physical interpretations differ, emphasizing the distinction between mathematics and physical reality.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between wave functions and quantum waves, with no consensus reached on whether they are synonyms or how their meanings differ. The discussion remains unresolved, with multiple competing perspectives presented.

Contextual Notes

Participants reference various interpretations of quantum mechanics, including Objective collapse theories and Bohmian mechanics, which may influence their views on the nature of wave functions and quantum waves. The discussion also touches on the mathematical representation of quantum states and the implications of different quantum equations.

stglyde
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Are wave functions and quantum waves synonyms? If not, how do the meanings differ?

I'm asking because wave functions are mathematical abstractions and can't be real. But in Objective collapse theories, Bohmian mechanics, they are said to be real. Or more accurately, should the correct words be thus.. "the quantum waves in say bohmian mechanics or objective collapse theories are real but their wave functions are mathematical abstractions"?
 
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No one knows the answer to this?
 
stglyde said:
Are wave functions and quantum waves synonyms? If not, how do the meanings differ?

I'm asking because wave functions are mathematical abstractions and can't be real. But in Objective collapse theories, Bohmian mechanics, they are said to be real. Or more accurately, should the correct words be thus.. "the quantum waves in say bohmian mechanics or objective collapse theories are real but their wave functions are mathematical abstractions"?

A wave function is not a wave (quantum or otherwise). A 'wave function' describes the state of a quantum system. Also I do not know why you say that in objective collapse theories the wave functions are said to be real.
 
A wave function is not a wave (quantum or otherwise).
Funny, but I solve the Schrödinger wave equation and get a plane wave solution. How is ψ = exp(i(kx - ωt)) not a wave? Sure looks like a wave to me.
 
stglyde said:
Are wave functions and quantum waves synonyms? If not, how do the meanings differ?
I don't think anyone uses the term "quantum wave".
 
Fredrik said:
I don't think anyone uses the term "quantum wave".
By way of a question and not a contradiction, while people might not use the term ‘quantum wave’ and other formulations, e.g. matrix, might avoid the concept, Schrödinger’s wave formulation seems to be entirely based on wave mechanics and deBroglie’s idea of matter wave dispersion. If so, it would sems that only later did certain QM interpretations argue that ‘quantum waves’ were only a mathematical abstraction. So does the answer to the OP depend on which interpretation you favour?
 
Bill_K said:
Funny, but I solve the Schrödinger wave equation and get a plane wave solution. How is ψ = exp(i(kx - ωt)) not a wave? Sure looks like a wave to me.

And a solution to the Klein-Gordon equation ψ_KG = exp(i(kx - ωt)) looks like a solution of the Schrödinger equation ψ_Sch = exp(i(kx - ωt)), but the ψ_KG cannot be physically interpreted as a quantum state, whereas the ψ_Sch can... Mystery? No, simply that physics is not math.
 

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